Find the optimal solution by simplex method how to calculate
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manufacture of lawn and garden equipment makes two basic types of lawn mowers; a push
type and a self-propelled model. The push type require 9 minutes to assemble and 2 minutes to
package; the self-propelled mover requires 12 minute to assemble and 6 minutes to package.
Each type has an engine. The company has 12hrs of assembly time available, 75 engines, and
5hrs of packing time profits are Birr 70 for the self-propelled model and br 45 for the push type
mower per unit.
Required
b. Find the optimal solution by simplex method how to calculate
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- There is an upstream Picking department that feeds two downstream Packing departments: Pack Singles and Pack Multis. Those Packing departments feed to a Shipping department that loads the outgoing trucks. 40% of your Pick volume goes to Pack Singles and has a packing rate of 104 units per labor hour (uph). 60% of the Pick volume goes to Pack Multis and has a pack rate of 215 units per labor hour. Your pickers pick both Single and Multi items throughout the day at an overall average rate of 114 units per labor hour. All units that are packed in both processes go through the Ship process at a rate of 570 units per hour. You have 102 people today for all 4 departments and you absolutely must pack 47,880 units in Pack Multis Items to meet a customer promise metric. How do you allocate labor to balance the flow in your department if you work a 10 hour shift? Do not assume breaks or lunches in your answer. Redirect 1: You now need to process all of the Pack Singles Volume in the first 5…Hansen Controls has been awarded a contract for a large number of control panels. To meet this demand, it will use its existing plants in Houston and Tulsa, and consider new plants in Portland, St. Louis and Lexington. Finished control panels are to be shipped to Denver, Kansas City and Seattle. Pertinent information is given in the table. Denver 1 1- 2- 3- Sources 4- 5- Houston Tulsa Portland Construction St. Louis Cost Kansas City 2 ---- 1 Shipping Cost to Destination: Capacity Seattle 3 6 6 500,000 450,000 Lexington 400,000 Demand 14,000 13,000 18,000 We develop a transportation model as an LP that includes provisions for the fixed costs (construction costs in this case) for the three new plants. The solution of this model would reveal which plants to build and the optimal shipping schedule. Let xij = the number of panels shipped from source i to destination j y₁ = 1 if plant i is built, = 0 otherwise (i = 3, 4, 5) The constraint x21 + x22+x23 <= 13,000*y3 represents which of the…Casting molds are produced by MYMOLD company. Each order has unique specifications, depending on customer needs. MYMOLD has received an order of two molds from a customer. The agreed selling price of the molds is 5000TL per mold. According to the agreement, for a defective mold the customer will pay 1000TL instead of the standard price. The customer will not buy any more than two molds and there is a 2000 TL fine for not meeting the demand with two non-defective molds. The excess molds can be salvaged for 500 TL per piece. The cost of production per mold is 2000TL and the probability of producing a non-defective mold is 0.8. Assume that MYMOLD decided to produce two molds, and the first production has been succesfull (a non-defective mold is produced). What is the expected profit given the result of the first production?
- . Sarah’s Organic Soap Company makes four kinds of organic liquid soap: “regular,”“lavender,” “citrus,” and “tea tree.” Demands for the four scents are 150, 120, 75, and50 kgs per hour, respectively. Sarah’s production process can produce any soap at therate of 450 kgs per hour, but 1.5 hours are needed to switch between scents. Duringthose switchover times, the process doesn’t produce any soap. Sarah wants to choosea production schedule that (i) cycles repeatedly through the four scents, (ii) meets therequired demand, and (iii) minimizes the amount of inventory held.How many kgs of “regular” should Sarah produce before switching over to another scent?Sturgill Manufacturing Inc. needs to predict the numbers of machines and employees required to produce its planned production for the coming year. The plant runs three shifts continuously during the workweek, for a total of 120 hours of capacity per week. The shop efficiency (the percent of total time available for production), which accounts for setups, changeovers, and maintenance, averages 70% with a standard deviation of 5%, which reduces the weekly capacity. Six key parts are produced, and the plant has three different types of machines to produce each part. The machines are not interchangeable as they each have a specific function. The time to produce each part on each machine varies. The mean time and standard deviation (in hours) to produce each part on each machine are shown below: Mean Time Part Type Machine A Machine B Machine C 1 3.5 2.6 8.9 2 3.4 2.5 8 3 1.8 3.5 12.6 4 2.4 5.8 12.5 5 4.2 4.3 28 6…Atlanta Manufacturing Company produces products W, X, Y, and Z through a joint process. The joint costs amount to $250,000. Product Units Produced Sales Value at Split-Off Additional Costs of Processing Sales Value After Processing W 750 $10,000 $2,500 $15,000 X 1,500 $30,000 $3,000 $35,000 Y 1,000 $20,000 $4,000 $25,000 Z 1,500 $40,000 $6,000 $45,000 If W is processed further, profits of W will: 1) Increase by $2,500 2) Increase by $12,500 3) Decrease by $23,000 4) Increase by $5,000
- Bhojraj Fabricators Inc. machines metal parts for the automotive industry. Under the traditional manufacturing approach, the parts are machined through two processes: milling and finishing. Parts are produced in batch sizes of 30 parts. A part requires 7 minutes in milling and 9 minutes in finishing. The move time between the two operations for a complete batch is 4 minutes. Under the lean philosophy, the part is produced in a cell that includes both the milling and finishing operations. The operating time is unchanged; however, the batch size is reduced to 2 parts and the move time is eliminated. Determine the value-added, non-value-added, and total lead times, and the value-added ratio under the traditional and lean manufacturing methods. If required, round percentages to one decimal place. Line Item Description Traditional Philosophy Lean Manufacturing Philosophy Value-added time Non-value-added time Total lead time Value-added ratio (as a percent)In a large microelectronics plant, the assembly cell for circuitboards has a demand for 200 units an hour. Two feeder cellssupply parts A and B to the assembly cell (one A and one Bfor each board). Standard containers that look like dividedtrays are used. A container will hold 20 As or 10 Bs. It takes10 minutes to fill up a container with As and 20 minutes tofill up a container with Bs. Transit time to the assembly cell is5 minutes for both A and B. No safety factor is used. Set up akanban control system for the assembly process.An assembly line requires two components: gadjits and widjits. Gadjits are produced by center 1 and widjits are produced by center 2. Each unit of the end item, called a jit-together, requires 3 gadjits and 2 widjits. The daily production quota on the assembly line is 750 jit-togethers. The container for gadjits holds 70 units. The policy variable for center 1 is set at 0.03. The average waiting time for container of gadjits is 0.08 day, and 0.05 day is needed to produce a container. The container for widjits holds 60 units, and the policy variable for center 2 is 0.09. The average waiting time per container of widjits is 0.16 day, and the time required to process a container is 0.26 day. a. How many containers are needed for gadjits? containers. (Enter your response rounded up to the next whole number.)
- Digital Controls, Inc. (DCI), manufactures two models of a radar gun used by police to monitor the speed of automobiles. Model A has an accuracy of plus or minus 1 mile per hour, whereas the smaller model B has an accuracy of plus or minus miles per hour. For the next week, the company has orders for 100 units of model A and 150 units of model B. Although DCI purchases all the electronic components used in both models, the plastic cases for both models are manufactured at a DCI plant in Newark, New Jersey. Each model A case requires 4 minutes of injection-molding time and 6 minutes of assembly time. Each model B case requires 3 minutes of injection-molding time and 8 minutes of assembly time. For next week, the Newark plant has 600 minutes of injection-molding time available and 1,080 minutes of assembly time available. The manufacturing cost is $10 per case for model A and $6 per case for model B. Depending upon demand and the time available at the Newark plant, DCI occasionally…An assembly line requires two components: gadjits and widjits. Gadjits are produced by center 1 and widjits are produced by center 2. Each unit of the end item, called a jit-together, requires 3 gadjits and 2 widjits. The daily production quota on the assembly line is 750 jit-togethers. The container for gadjits holds 70 units. The policy variable for center 1 is set at 0.03. The average waiting time for a container of gadjits is 0.08 day, and 0.05 day is needed to produce a container. The container for widjits holds 60 units, and the policy variable for center 2 is 0.09. The average waiting time per container of widjits is 0.16 day, and the time required to process a container is 0.26 day. a. How many containers are needed for gadjits? 5 containers. (Enter your response rounded up to the next whole number.) b. How many containers are needed for widjits? containers. (Enter your response rounded up to the next whole number.)Compute Lead Time Bhojraj Fabricators Inc. machines metal parts for the automotive industry. Under the traditional manufacturing approach, the parts are machined through two processes: milling and finishing. Parts are produced in batch sizes of 30 parts. A part requires 7 minutes in milling and 9 minutes in finishing. The move time between the two operations for a complete batch is 4 minutes. Under the lean philosophy, the part is produced in a cell that includes both the milling and finishing operations. The operating time is unchanged; however, the batch size is reduced to 2 parts and the move time is eliminated. Determine the value-added, non-value-added, and total lead times, and the value-added ratio under the traditional and lean manufacturing methods. If required, round percentages to one decimal place. Traditional Philosophy Lean Manufacturing Philosophy Value-added time Non-value-added time Total lead time Value-added ratio (as a percent) X min X min min % min min min %