Week 1 2 The Build-Em-Fast Company has agreed to supply its best customer with three widgets during each of the next 3 weeks; even through producing them will require some overtime work. The relevant production data are as follows: 3 Maximum Production, Regular Time 2 3 1 Maximum Production, Overtime 2 2 2 Production Cost Per Unit, Regular Time $300 $500 $400 The cost per unit produced with overtime for each week is $100 more than for regular time. The cost of storage is $50 per unit for each week it is stored. There is already an inventory of two widgets in hand currently, but the company does not want to retain any widgets in inventory after the 3 weeks. Management wants to know how many units should be produced in each week to minimize the total cost of meeting the delivery schedule. 1. Formulate this problem as a transportation problem by constructing the appropriate parameter table.
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- QtyI Standard Labor Hour Raw Material Standard Labor 2 Hours Raw Material INDEPENDENT DEMAND Period 2 3 4 5 Total 6 Product A 1,000 1,000 1,000 1,000 1,000 1,000 6,000 Product B 500 500 500 1,500 15. The standard labor capacity required to support this plan is A. 9,000 hours B. 13,500 hours C. 18,000 hours D. 21,000 hours 16. Products A and B are produced on two different dedicated production lines. If both lines work on the same shift schedule, the ratio of workers on line A to workers on line B is A. 2:1 В. 2:3 С. 2:5 D. 4:1Dohini Manufacturing company had following 12 months of data on purchasing cost and number of purchase orders. Required: 1. Determine the high point and low point. 2. Calculate the variable rate for purchasing cost based on the number of purchase orders. (Round to nearest cent) 3. Calculate the fixed monthly cost of purchasing.(Round to nearest dollar). 4. Write the cost formula for the purchasing activity showing the fixed cost and the variable rate. 5. If Dohini manufacturing company estimates that next month will have 430 purchase orders, what is the total estimated purchasing cost for the that month?(Round to nearest dollar) 6. What if Dohini manufacturing wants to estimate purchasing cost for the coming year and expects 5340 purchase orders? What will estimated total purchasing cost be? What is the total fixed purchasing cost? Why doesn't equal the fixed cost calculated in Requirement 3?(Round to nearest dollar)Qty Standard Labor Hour Raw Material В Standard Labor 2 Hours Raw Material INDEPENDENT DEMAND Period 1 2 3 4 5 6 Total Product A 1,000 1,000 1,000 1,000 1,000 1,000 6,000 Product B 500 500 ,500 500 16. Products A and B are produced on two different dedicated production lines. If both lines work on the same shift schedule, the ratio of workers on line A to workers on line B is A. 2:1 В. 2:3 С. 2:5 D. 4:1
- Accompany makes two products (1&2) each product requires time on two machines (A&B). specification for each product is as follows. Product1 product2 Processing time on Machine A (hrs/unit) 2 2 Processing time on Machine B (hrs/unit) 1 2 Material and labour cost ( ksh/unit) 14 15 Selling price (ksh/unit) 16 18 Maximum possible sale (units) 130 150 The amount of time available on machine A is 360 hours and on machine B is 260 hours. Formulate the linear programme which, when…2.17 For the following data, calculate the number of workers required for level production and the resulting month-end inventories. Each worker can produce 14 units per day, and the desired ending inventory is 9000 units. Month Working Days Forecast Demand Planned Production Planned Inventory 11,500 1 2 3 4 Total 20 24 12 19 28,000 27,500 28,500 28,500Tuff-Rider, Inc., manufactures touring bikes and mountainbikes in a variety of frame sizes, colors, and component com-binations. Identical bicycles are produced in lots of 100. Theprojected demand, lot size, and time standards are shown inthe following table: Item Touring MountainDemand forecast 5,000 units/year 10,000 units/yearLot size 100 units 100 unitsStandard processing time .25 hour/unit .50 hour/unitStandard setup time 2 hours/lot 3 hours/lot The shop currently works 8 hours a day, 5 days a week,50 weeks a year. It operates five workstations, each producingone bicycle in the time shown in the table. The shop main-tains a 15 percent capacity cushion. How many workstationswill be required next year to meet expected demand withoutusing overtime and without decreasing the firm’s currentcapacity cushion?
- 3) Amelia Ltd. makes a plastic tricycle that is composed of three major components: a handlebar-front wheel-pedal assembly, a seat and frame unit, and rear wheels. The company has orders for 48,000 of these trikes. Current schedules yield the following information. Component Front Seat/Frame Rear wheel (each) Available Requirement Plastic 12 16 .20 S Model Regular Deluxe Heavy 100000 Time 40 24 8 2 2 320000 60000 Page 4 of 9 Space Manufacture 8 16 8 4 Cost to 12 2 3 4 5 Cost to Purchase 24 The company obviously does not have the resources available to manufacture everything needed for the completion of 24000 tricycles so has gathered purchase information for each component. Requested: Develop a linear programming model to tell the company how many of each component should be manufactured and how many should be purchased in order to provide 24000 fully completed tricycles at the minimum cost. 18 6 4) A paint supply company makes three styles of Paint Rollers, regular, deluxe and heavy.…1. A company that produces golf carts has just received an order for 200 carts, which must be ready for delivery at the start of week 8. Information concerning the product structure, lead times and quantities on hand is shown in the following table. Parts list for golf cart Lead time Quantity on hand Golf cart Top Base 1 1 1 0 40 20 Top Supports(4) Cover 1 1 200 0 Base Motor Body Seats (2) 2 3 2 300 50 120 Body Frame Controls Wheel assemblies(4) 1 1 1 35 0 240 You are required to: a) Construct a product tree. b) Determine the low level codes for all the components. c) Develop a material requirements plan that will provide 200 golf carts by week 8 assuming lot for lot ordering.1. A company that produces golf carts has just received an order for 200 carts, which must be ready for delivery at the start of week 8. Information concerning the product structure, lead times and quantities on hand is shown in the following table. Parts list for golf cart Lead time Quantity on hand Golf cart Top Base 1 1 1 0 40 20 Top Supports(4) Cover 1 1 200 0 Base Motor Body Seats (2) 2 3 2 300 50 120 Body Frame Controls Wheel assemblies(4) 1 1 1 35 0 240 You are required to: a) Construct a product tree.
- Jody of Jody’s Custom Tailoring is considering expandingher growing business. Th e question is whether to expand with abigger facility than she needs or with a small facility, knowing thatshe will have to reconsider expanding in three years.Jody has estimated the following chances for demand:• Th e likelihood of demand being high is 0.50.• Th e likelihood of demand being low is 0.50. She has also estimated profi ts for each alternative:• Large expansion has an estimated profi tability of either$200,000 or $100,000, depending on whether demand turnsout to be high or low.• Small expansion has a profi tability of $80,000, assuming thatdemand is low.• Small expansion with an occurrence of high demand wouldrequire considering whether to expand further. If thebusiness expands at that point, the profi tability is expectedto be $120,000. If it does not expand further, the profi tabilityis expected to be $70,000.Draw a decision tree and solve it. What should Jody’s CustomTailoring do?Heath Production manufactures chairs. Several weeks ago, the company received an inquiry from Rose Limited. Rose wants to market a foldable chair similar to one of Heath’s and has offered to purchase 12 000 units if the offer can be completed in three months. The cost data for Heath’s foldable chair is as follow: Direct material $16.40 Direct labour (0.125 @ $36 per hour) 4.50 Total manufacturing overhead 20.00 Total $40.90 The normal selling price of Heath’s foldable chair is $51.00. However, Rose has offered Heath only $31.50 because of the large quantity it is willing to purchase. Rose requires a modification of the design that will allow a $4.20 reduction in direct material cost. The production manager of Heath notes that the company will incur $8400 in additional setup costs and will have to purchase $5800 special equipment to…Company A recently completed and sold an order of 50 units that had the following costs: Direct materials Direct labor* (1000 hours @ P8.50) |Variable overhead (1000 hours @ P4.00) Other overhead costs** Total 1500 8500 4000 1400 15400 | *Applied on the basis of direct labor hous **Applied at the rate of 10% of variable cost The company has now been requested to prepare a bid for 150 units of the same product. If an 80% incremental unit-time learning curve is applicable, Company A's total cost on this order would be estimated at