Concept explainers
To determine: The number of suppliers to be chosen by Company W.
Introduction:
Answer to Problem 3P
TheCompany W can choose one supplier.
Explanation of Solution
Given information:
Formula:
Calculation for supplier selection:
Probability of selecting one supplier:
To find the probability of selecting one supplier, substitute the number of chosen suppliers, probability of super-event and unique-event in the above formula. Here, the number of suppliers chosen is ‘1’; S=0.005 and U=0.05 are substituted in the above formula, which gives the probability as 0.05475.
Probability of selecting two suppliers:
To find the probability of selecting two suppliers, substitute the number of chosen suppliers, probability of super-event and unique-event in the above formula. Here, the number of suppliers chosen is ‘2’; S=0.005 and U=0.05 are substituted in the above formula, which gives the probability as 0.007488.
Probability of selecting three suppliers:
To find the probability of selecting three suppliers, substitute the number of chosen suppliers, probability of super-event and unique-event in the above formula. Here, the number of suppliers chosen is ‘3’; S=0.005 and U=0.05 are substituted in the above formula, which gives the probability as 0.00512.
Calculation of cost:
Failure cost and no-failure cost is calculated for every number of suppliers selected.
- When one supplier is selected:
- Calculation of no-failure cost:
When there is no failure of supplier, then there is no loss, when one supplier is selected. The only cost associated with the supplier selection is the marginal cost.
Probability of no-failure for one supplier,
- Calculation of failure cost:
When the supplier selection fails, along with marginal cost, the supplier failure cost is also added to the failure cost.
- Calculation of total cost:
The total cost is calculated by summing up the values obtained by multiplying the cost with respective probabilities.
The total cost of selecting one supplier is $36,900.
- When two suppliers are selected:
- Calculation of no-failure cost:
When there is no failure of suppliers, then there is no loss, when two suppliers are selected. The only cost associated with the supplier selection is the marginal cost.
Probability of no-failure for two suppliers,
- Calculation of failure cost:
When the supplier selection fails, along with marginal cost, the supplier failure cost is also added to the failure cost.
- Calculation of total cost:
The total cost is calculated by summing up the values obtained by multiplying the cost with respective probabilities.
The total cost of selecting two suppliers is $42,995.
- When three suppliers are selected:
- Calculation of no-failure cost:
When there is no failure of suppliers, then there is no loss, when three suppliers are selected. The only cost associated with the supplier selection is the marginal cost.
Probability of no-failure for three suppliers,
- Calculation of failure cost:
When the supplier selection fails, along with marginal cost, the supplier failure cost is also added to the failure cost.
- Calculation of total cost:
The total cost is calculated by summing up the values obtained by multiplying the cost with respective probabilities.
The total cost of selecting three suppliers is $67,050.
From Equations ((1), (2) and (3)), it can be inferred that the total cost is low, when one supplier is selected. Therefore, it is advisable for Company W to select one supplier.
Hence, Company W can choose one supplier.
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Chapter 11 Solutions
Principles Of Operations Management
- The Global Sourcing Wire Harness Decision Sheila Austin, a buyer at Autolink, a Detroit-based producer of subassemblies for the automotive market, has sent out requests for quotations for a wiring harness to four prospective suppliers. Only two of the four suppliers indicated an interest in quoting the business: Original Wire (Auburn Hills, MI) and Happy Lucky Assemblies (HLA) of Guangdong Province, China. The estimated demand for the harnesses is 5,000 units a month. Both suppliers will incur some costs to retool for this particular harness. The harnesses will be prepackaged in 24 12 6-inch cartons. Each packaged unit weighs approximately 10 pounds. Quote 1 The first quote received is from Original Wire. Auburn Hills is about 20 miles from Autolinks corporate headquarters, so the quote was delivered in person. When Sheila went down to the lobby, she was greeted by the sales agent and an engineering representative. After the quote was handed over, the sales agent noted that engineering would be happy to work closely with Autolink in developing the unit and would also be interested in future business that might involve finding ways to reduce costs. The sales agent also noted that they were hungry for business, as they were losing a lot of customers to companies from China. The quote included unit price, tooling, and packaging. The quoted unit price does not include shipping costs. Original Wire requires no special warehousing of inventory, and daily deliveries from its manufacturing site directly to Autolinks assembly operations are possible. Original Wire Quote: Unit price = 30 Packing costs = 0.75 per unit Tooling = 6,000 one-time fixed charge Freight cost = 5.20 per hundred pounds Quote 2 The second quote received is from Happy Lucky Assemblies of Guangdong Province, China. The supplier must pack the harnesses in a container and ship via inland transportation to the port of Shanghai in China, have the shipment transferred to a container ship, ship material to Seattle, and then have material transported inland to Detroit. The quoted unit price does not include international shipping costs, which the buyer will assume. HLA Quote: Unit price = 19.50 Shipping lead time = Eight weeks Tooling = 3,000 In addition to the suppliers quote, Sheila must consider additional costs and information before preparing a comparison of the Chinese suppliers quotation: Each monthly shipment requires three 40-foot containers. Packing costs for containerization = 2 per unit. Cost of inland transportation to port of export = 200 per container. Freight forwarders fee = 100 per shipment (letter of credit, documentation, etc.). Cost of ocean transport = 4,000 per container. This has risen significantly in recent years due to a shortage of ocean freight capacity. Marine insurance = 0.50 per 100 of shipment. U.S. port handling charges = 1,200 per container. This fee has also risen considerably this year, due to increased security. Ports have also been complaining that the charges may increase in the future. Customs duty = 5% of unit cost. Customs broker fees per shipment = 300. Transportation from Seattle to Detroit = 18.60 per hundred pounds. Need to warehouse at least four weeks of inventory in Detroit at a warehousing cost of 1.00 per cubic foot per month, to compensate for lead time uncertainty. Sheila must also figure the costs associated with committing corporate capital for holding inventory. She has spoken to some accountants, who typically use a corporate cost of capital rate of 15%. Cost of hedging currencybroker fees = 400 per shipment Additional administrative time due to international shipping = 4 hours per shipment 25 per hour (estimated) At least two five-day visits per year to travel to China to meet with supplier and provide updates on performance and shipping = 20,000 per year (estimated) The international sourcing costs must be absorbed by Sheila, as the supplier does not assume any of the additional estimated costs and invoice Sheila later, or build the costs into a revised unit price. Sheila feels that the U.S. supplier is probably less expensive, even though it quoted a higher price. Sheila also knows that this is a standard technology that is unlikely to change during the next three years, but which could be a contract that extends multiple years out. There is also a lot of hall talk amongst the engineers on her floor about next-generation automotive electronics, which will completely eliminate the need for wire harnesses, which will be replaced by electronic components that are smaller, lighter, and more reliable. She is unsure about how to calculate the total costs for each option, and she is even more unsure about how to factor these other variables into the decision. Based on this case, do you think international purchasing is more or less complex than domestic purchasing? Why? Is it worth the additional effort?arrow_forwardThe Global Sourcing Wire Harness Decision Sheila Austin, a buyer at Autolink, a Detroit-based producer of subassemblies for the automotive market, has sent out requests for quotations for a wiring harness to four prospective suppliers. Only two of the four suppliers indicated an interest in quoting the business: Original Wire (Auburn Hills, MI) and Happy Lucky Assemblies (HLA) of Guangdong Province, China. The estimated demand for the harnesses is 5,000 units a month. Both suppliers will incur some costs to retool for this particular harness. The harnesses will be prepackaged in 24 12 6-inch cartons. Each packaged unit weighs approximately 10 pounds. Quote 1 The first quote received is from Original Wire. Auburn Hills is about 20 miles from Autolinks corporate headquarters, so the quote was delivered in person. When Sheila went down to the lobby, she was greeted by the sales agent and an engineering representative. After the quote was handed over, the sales agent noted that engineering would be happy to work closely with Autolink in developing the unit and would also be interested in future business that might involve finding ways to reduce costs. The sales agent also noted that they were hungry for business, as they were losing a lot of customers to companies from China. The quote included unit price, tooling, and packaging. The quoted unit price does not include shipping costs. Original Wire requires no special warehousing of inventory, and daily deliveries from its manufacturing site directly to Autolinks assembly operations are possible. Original Wire Quote: Unit price = 30 Packing costs = 0.75 per unit Tooling = 6,000 one-time fixed charge Freight cost = 5.20 per hundred pounds Quote 2 The second quote received is from Happy Lucky Assemblies of Guangdong Province, China. The supplier must pack the harnesses in a container and ship via inland transportation to the port of Shanghai in China, have the shipment transferred to a container ship, ship material to Seattle, and then have material transported inland to Detroit. The quoted unit price does not include international shipping costs, which the buyer will assume. HLA Quote: Unit price = 19.50 Shipping lead time = Eight weeks Tooling = 3,000 In addition to the suppliers quote, Sheila must consider additional costs and information before preparing a comparison of the Chinese suppliers quotation: Each monthly shipment requires three 40-foot containers. Packing costs for containerization = 2 per unit. Cost of inland transportation to port of export = 200 per container. Freight forwarders fee = 100 per shipment (letter of credit, documentation, etc.). Cost of ocean transport = 4,000 per container. This has risen significantly in recent years due to a shortage of ocean freight capacity. Marine insurance = 0.50 per 100 of shipment. U.S. port handling charges = 1,200 per container. This fee has also risen considerably this year, due to increased security. Ports have also been complaining that the charges may increase in the future. Customs duty = 5% of unit cost. Customs broker fees per shipment = 300. Transportation from Seattle to Detroit = 18.60 per hundred pounds. Need to warehouse at least four weeks of inventory in Detroit at a warehousing cost of 1.00 per cubic foot per month, to compensate for lead time uncertainty. Sheila must also figure the costs associated with committing corporate capital for holding inventory. She has spoken to some accountants, who typically use a corporate cost of capital rate of 15%. Cost of hedging currencybroker fees = 400 per shipment Additional administrative time due to international shipping = 4 hours per shipment 25 per hour (estimated) At least two five-day visits per year to travel to China to meet with supplier and provide updates on performance and shipping = 20,000 per year (estimated) The international sourcing costs must be absorbed by Sheila, as the supplier does not assume any of the additional estimated costs and invoice Sheila later, or build the costs into a revised unit price. Sheila feels that the U.S. supplier is probably less expensive, even though it quoted a higher price. Sheila also knows that this is a standard technology that is unlikely to change during the next three years, but which could be a contract that extends multiple years out. There is also a lot of hall talk amongst the engineers on her floor about next-generation automotive electronics, which will completely eliminate the need for wire harnesses, which will be replaced by electronic components that are smaller, lighter, and more reliable. She is unsure about how to calculate the total costs for each option, and she is even more unsure about how to factor these other variables into the decision. Calculate the total cost per unit of purchasing from Original Wire.arrow_forwardThe Global Sourcing Wire Harness Decision Sheila Austin, a buyer at Autolink, a Detroit-based producer of subassemblies for the automotive market, has sent out requests for quotations for a wiring harness to four prospective suppliers. Only two of the four suppliers indicated an interest in quoting the business: Original Wire (Auburn Hills, MI) and Happy Lucky Assemblies (HLA) of Guangdong Province, China. The estimated demand for the harnesses is 5,000 units a month. Both suppliers will incur some costs to retool for this particular harness. The harnesses will be prepackaged in 24 12 6-inch cartons. Each packaged unit weighs approximately 10 pounds. Quote 1 The first quote received is from Original Wire. Auburn Hills is about 20 miles from Autolinks corporate headquarters, so the quote was delivered in person. When Sheila went down to the lobby, she was greeted by the sales agent and an engineering representative. After the quote was handed over, the sales agent noted that engineering would be happy to work closely with Autolink in developing the unit and would also be interested in future business that might involve finding ways to reduce costs. The sales agent also noted that they were hungry for business, as they were losing a lot of customers to companies from China. The quote included unit price, tooling, and packaging. The quoted unit price does not include shipping costs. Original Wire requires no special warehousing of inventory, and daily deliveries from its manufacturing site directly to Autolinks assembly operations are possible. Original Wire Quote: Unit price = 30 Packing costs = 0.75 per unit Tooling = 6,000 one-time fixed charge Freight cost = 5.20 per hundred pounds Quote 2 The second quote received is from Happy Lucky Assemblies of Guangdong Province, China. The supplier must pack the harnesses in a container and ship via inland transportation to the port of Shanghai in China, have the shipment transferred to a container ship, ship material to Seattle, and then have material transported inland to Detroit. The quoted unit price does not include international shipping costs, which the buyer will assume. HLA Quote: Unit price = 19.50 Shipping lead time = Eight weeks Tooling = 3,000 In addition to the suppliers quote, Sheila must consider additional costs and information before preparing a comparison of the Chinese suppliers quotation: Each monthly shipment requires three 40-foot containers. Packing costs for containerization = 2 per unit. Cost of inland transportation to port of export = 200 per container. Freight forwarders fee = 100 per shipment (letter of credit, documentation, etc.). Cost of ocean transport = 4,000 per container. This has risen significantly in recent years due to a shortage of ocean freight capacity. Marine insurance = 0.50 per 100 of shipment. U.S. port handling charges = 1,200 per container. This fee has also risen considerably this year, due to increased security. Ports have also been complaining that the charges may increase in the future. Customs duty = 5% of unit cost. Customs broker fees per shipment = 300. Transportation from Seattle to Detroit = 18.60 per hundred pounds. Need to warehouse at least four weeks of inventory in Detroit at a warehousing cost of 1.00 per cubic foot per month, to compensate for lead time uncertainty. Sheila must also figure the costs associated with committing corporate capital for holding inventory. She has spoken to some accountants, who typically use a corporate cost of capital rate of 15%. Cost of hedging currencybroker fees = 400 per shipment Additional administrative time due to international shipping = 4 hours per shipment 25 per hour (estimated) At least two five-day visits per year to travel to China to meet with supplier and provide updates on performance and shipping = 20,000 per year (estimated) The international sourcing costs must be absorbed by Sheila, as the supplier does not assume any of the additional estimated costs and invoice Sheila later, or build the costs into a revised unit price. Sheila feels that the U.S. supplier is probably less expensive, even though it quoted a higher price. Sheila also knows that this is a standard technology that is unlikely to change during the next three years, but which could be a contract that extends multiple years out. There is also a lot of hall talk amongst the engineers on her floor about next-generation automotive electronics, which will completely eliminate the need for wire harnesses, which will be replaced by electronic components that are smaller, lighter, and more reliable. She is unsure about how to calculate the total costs for each option, and she is even more unsure about how to factor these other variables into the decision. Based on the total cost per unit, which supplier should Sheila recommend?arrow_forward
- The Global Sourcing Wire Harness Decision Sheila Austin, a buyer at Autolink, a Detroit-based producer of subassemblies for the automotive market, has sent out requests for quotations for a wiring harness to four prospective suppliers. Only two of the four suppliers indicated an interest in quoting the business: Original Wire (Auburn Hills, MI) and Happy Lucky Assemblies (HLA) of Guangdong Province, China. The estimated demand for the harnesses is 5,000 units a month. Both suppliers will incur some costs to retool for this particular harness. The harnesses will be prepackaged in 24 12 6-inch cartons. Each packaged unit weighs approximately 10 pounds. Quote 1 The first quote received is from Original Wire. Auburn Hills is about 20 miles from Autolinks corporate headquarters, so the quote was delivered in person. When Sheila went down to the lobby, she was greeted by the sales agent and an engineering representative. After the quote was handed over, the sales agent noted that engineering would be happy to work closely with Autolink in developing the unit and would also be interested in future business that might involve finding ways to reduce costs. The sales agent also noted that they were hungry for business, as they were losing a lot of customers to companies from China. The quote included unit price, tooling, and packaging. The quoted unit price does not include shipping costs. Original Wire requires no special warehousing of inventory, and daily deliveries from its manufacturing site directly to Autolinks assembly operations are possible. Original Wire Quote: Unit price = 30 Packing costs = 0.75 per unit Tooling = 6,000 one-time fixed charge Freight cost = 5.20 per hundred pounds Quote 2 The second quote received is from Happy Lucky Assemblies of Guangdong Province, China. The supplier must pack the harnesses in a container and ship via inland transportation to the port of Shanghai in China, have the shipment transferred to a container ship, ship material to Seattle, and then have material transported inland to Detroit. The quoted unit price does not include international shipping costs, which the buyer will assume. HLA Quote: Unit price = 19.50 Shipping lead time = Eight weeks Tooling = 3,000 In addition to the suppliers quote, Sheila must consider additional costs and information before preparing a comparison of the Chinese suppliers quotation: Each monthly shipment requires three 40-foot containers. Packing costs for containerization = 2 per unit. Cost of inland transportation to port of export = 200 per container. Freight forwarders fee = 100 per shipment (letter of credit, documentation, etc.). Cost of ocean transport = 4,000 per container. This has risen significantly in recent years due to a shortage of ocean freight capacity. Marine insurance = 0.50 per 100 of shipment. U.S. port handling charges = 1,200 per container. This fee has also risen considerably this year, due to increased security. Ports have also been complaining that the charges may increase in the future. Customs duty = 5% of unit cost. Customs broker fees per shipment = 300. Transportation from Seattle to Detroit = 18.60 per hundred pounds. Need to warehouse at least four weeks of inventory in Detroit at a warehousing cost of 1.00 per cubic foot per month, to compensate for lead time uncertainty. Sheila must also figure the costs associated with committing corporate capital for holding inventory. She has spoken to some accountants, who typically use a corporate cost of capital rate of 15%. Cost of hedging currencybroker fees = 400 per shipment Additional administrative time due to international shipping = 4 hours per shipment 25 per hour (estimated) At least two five-day visits per year to travel to China to meet with supplier and provide updates on performance and shipping = 20,000 per year (estimated) The international sourcing costs must be absorbed by Sheila, as the supplier does not assume any of the additional estimated costs and invoice Sheila later, or build the costs into a revised unit price. Sheila feels that the U.S. supplier is probably less expensive, even though it quoted a higher price. Sheila also knows that this is a standard technology that is unlikely to change during the next three years, but which could be a contract that extends multiple years out. There is also a lot of hall talk amongst the engineers on her floor about next-generation automotive electronics, which will completely eliminate the need for wire harnesses, which will be replaced by electronic components that are smaller, lighter, and more reliable. She is unsure about how to calculate the total costs for each option, and she is even more unsure about how to factor these other variables into the decision. Calculate the total cost per unit of purchasing from Happy Lucky Assemblies.arrow_forwardThe Global Sourcing Wire Harness Decision Sheila Austin, a buyer at Autolink, a Detroit-based producer of subassemblies for the automotive market, has sent out requests for quotations for a wiring harness to four prospective suppliers. Only two of the four suppliers indicated an interest in quoting the business: Original Wire (Auburn Hills, MI) and Happy Lucky Assemblies (HLA) of Guangdong Province, China. The estimated demand for the harnesses is 5,000 units a month. Both suppliers will incur some costs to retool for this particular harness. The harnesses will be prepackaged in 24 12 6-inch cartons. Each packaged unit weighs approximately 10 pounds. Quote 1 The first quote received is from Original Wire. Auburn Hills is about 20 miles from Autolinks corporate headquarters, so the quote was delivered in person. When Sheila went down to the lobby, she was greeted by the sales agent and an engineering representative. After the quote was handed over, the sales agent noted that engineering would be happy to work closely with Autolink in developing the unit and would also be interested in future business that might involve finding ways to reduce costs. The sales agent also noted that they were hungry for business, as they were losing a lot of customers to companies from China. The quote included unit price, tooling, and packaging. The quoted unit price does not include shipping costs. Original Wire requires no special warehousing of inventory, and daily deliveries from its manufacturing site directly to Autolinks assembly operations are possible. Original Wire Quote: Unit price = 30 Packing costs = 0.75 per unit Tooling = 6,000 one-time fixed charge Freight cost = 5.20 per hundred pounds Quote 2 The second quote received is from Happy Lucky Assemblies of Guangdong Province, China. The supplier must pack the harnesses in a container and ship via inland transportation to the port of Shanghai in China, have the shipment transferred to a container ship, ship material to Seattle, and then have material transported inland to Detroit. The quoted unit price does not include international shipping costs, which the buyer will assume. HLA Quote: Unit price = 19.50 Shipping lead time = Eight weeks Tooling = 3,000 In addition to the suppliers quote, Sheila must consider additional costs and information before preparing a comparison of the Chinese suppliers quotation: Each monthly shipment requires three 40-foot containers. Packing costs for containerization = 2 per unit. Cost of inland transportation to port of export = 200 per container. Freight forwarders fee = 100 per shipment (letter of credit, documentation, etc.). Cost of ocean transport = 4,000 per container. This has risen significantly in recent years due to a shortage of ocean freight capacity. Marine insurance = 0.50 per 100 of shipment. U.S. port handling charges = 1,200 per container. This fee has also risen considerably this year, due to increased security. Ports have also been complaining that the charges may increase in the future. Customs duty = 5% of unit cost. Customs broker fees per shipment = 300. Transportation from Seattle to Detroit = 18.60 per hundred pounds. Need to warehouse at least four weeks of inventory in Detroit at a warehousing cost of 1.00 per cubic foot per month, to compensate for lead time uncertainty. Sheila must also figure the costs associated with committing corporate capital for holding inventory. She has spoken to some accountants, who typically use a corporate cost of capital rate of 15%. Cost of hedging currencybroker fees = 400 per shipment Additional administrative time due to international shipping = 4 hours per shipment 25 per hour (estimated) At least two five-day visits per year to travel to China to meet with supplier and provide updates on performance and shipping = 20,000 per year (estimated) The international sourcing costs must be absorbed by Sheila, as the supplier does not assume any of the additional estimated costs and invoice Sheila later, or build the costs into a revised unit price. Sheila feels that the U.S. supplier is probably less expensive, even though it quoted a higher price. Sheila also knows that this is a standard technology that is unlikely to change during the next three years, but which could be a contract that extends multiple years out. There is also a lot of hall talk amongst the engineers on her floor about next-generation automotive electronics, which will completely eliminate the need for wire harnesses, which will be replaced by electronic components that are smaller, lighter, and more reliable. She is unsure about how to calculate the total costs for each option, and she is even more unsure about how to factor these other variables into the decision. Are there any other issues besides cost that Sheila should evaluate?arrow_forwardInternational trade may offer lower unit prices but at a higher risk. Consider the total cost and trade off lower production costs with higher priced transportation and more uncertain delivery schedules. 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