9.The Ace Manufacturing Company has orders for three similar products:OrdersProduct(units)A20005001200BCThree machines are available for the manufacturing operations. All three machines canproduce all the products at the same production rate. However, due to varying defect per-centages of each product on each machine, the unit costs of the products vary dependingon the machine used. Machine capacities for the next week and the unit costs are asfollows:Сараcity(units)ProductMachineMachineAвC1500$1.00$1.30$1.10$1.20$1.40$1.00$0.90$1.20$1.201150010003Use the transportation model to develop the minimum cost production schedule for theproducts and machines. Show the linear programming formulation.123

Given data is The capacity is more than orders so in the linear programming model there is no need…

Answered: 9. The Ace Manufacturing Company has…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter5: Network Models

Section5.5: Shortest Path Models

Problem 34P

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Problem 6-09 (Algorithmic) The Ace Manufacturing Company has orders for three similar products: Product Order (Units) A 1750 B 500 C 1100 Three machines are available for the manufacturing operations. All three machines can produce all the products at the same production rate. However, due to varying defect percentages of each product on each machine, the unit costs of the products vary depending on the machine used. Machine capacities for the next week and the unit costs are as follows: Machine Capacity (Units) 1 1550 2 1450 3 1150 Product Machine A B C 1 $0.80 $1.30 $0.70 2 $1.40 $1.30 $1.50 3 $0.80 $0.80 $1.20 Use the transportation model to develop the minimum cost production schedule for the products and machines. Show the linear programming formulation. If the constant is "1" it must be entered in the box. If your answer is zero enter "0". The linear programming formulation and optimal solution are shown. Let xij = Units of…
A manufacturing fi rm has discontinued production of a certain unprofi table product line.Considerable excess production capacity was created as a result. Management is consideringdevoting this excess capacity to one or more of three products: X1, X2, and X3.Machine hours required per unit areProductMachine Type X1 X2 X3Milling machine 8 2 3Lathe 4 3 0Grinder 2 0 1The available time in machine hours per week isMachine Hours per WeekMilling machines 800Lathes 480Grinders 320The salespeople estimate they can sell all the units of X1 and X2 that can be made. Butthe sales potential of X3 is 80 units per week maximum.Unit profi ts for the three products areUnit ProfitsX1 $20X2 6X3 8a. Set up the equations that can be solved to maximize the profi t per week.b. Solve these equations using the Excel Solver.c. What is the optimal solution? How many of each product should be made, and whatshould the resultant profi t be?d. What is this situation with respect to the machine groups? Would they…
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The Stratton Company produces two basic types of plastic pipe. Three resources are crucial to the output of pipe: extrusion hours, packaging hours, and a special additive to the plastic raw material. The following data represent next week’s situation. All data are expressed in units of 100 feet of pipe. Product Resource Type 1 Type 2 Resource Availability Extrusion Packaging Additive mix 4 hr 2 hr 2 lb 6 hr 2 hr 1 lb 48 hr 18 hr 16 lb The contribution to profits and overhead per 100 feet of pipe is $34 for type 1 and $40 for type 2. Formulate a linear programming model to determine how much of each type of pipe should be produced to maximize contribution to profits and to overhead, assuming that everything produced can be sold.
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A company makes four products that have the following characteristics:Product A sells for $75 but needs $40 of materials to produce; Product B sells for $90 but needs $65 ofmaterials to produce; Product C sells for $110 but needs $80 of materials to produce; Product D sells for$135 but needs $105 of materials to produce. The processing requirements for each product on each ofthe four machines are shown in the table. Work centers W, X, Y, and Z are available for 5 days per week, 1 shift per day (8 hrs.) and have no setuptime when switching between products. Market demand is 50 As, 60 Bs, 70 Cs, and 80 Ds per week. In thequestions that follow, the traditional method refers to maximizing the contribution margin per unit foreach product, and the bottleneck method refers to maximizing the contribution margin per minute at thebottleneck for each product. Each worker is paid $15 per hour and is paid for an entire week, regardlessof how much the worker is used. Using the bottleneck method,…
A company makes four products that have the following characteristics:Product A sells for $75 but needs $40 of materials to produce; Product B sells for $90 but needs $65 ofmaterials to produce; Product C sells for $110 but needs $80 of materials to produce; Product D sells for$135 but needs $105 of materials to produce. The processing requirements for each product on each ofthe four machines are shown in the table. Work centers W, X, Y, and Z are available for 5 days per week, 1 shift per day (8 hrs.) and have no setuptime when switching between products. Market demand is 50 As, 60 Bs, 70 Cs, and 80 Ds per week. In thequestions that follow, the traditional method refers to maximizing the contribution margin per unit foreach product, and the bottleneck method refers to maximizing the contribution margin per minute at thebottleneck for each product. Each worker is paid $15 per hour and is paid for an entire week, regardlessof how much the worker is used. Using the traditional…
A company makes four products that have the following characteristics:Product A sells for $75 but needs $40 of materials to produce; Product B sells for $90 but needs $65 ofmaterials to produce; Product C sells for $110 but needs $80 of materials to produce; Product D sells for$135 but needs $105 of materials to produce. The processing requirements for each product on each ofthe four machines are shown in the table. Work centers W, X, Y, and Z are available for 5 days per week, 1 shift per day (8 hrs.) and have no setuptime when switching between products. Market demand is 50 As, 60 Bs, 70 Cs, and 80 Ds per week. In thequestions that follow, the traditional method refers to maximizing the contribution margin per unit foreach product, and the bottleneck method refers to maximizing the contribution margin per minute at thebottleneck for each product. Each worker is paid $15 per hour and is paid for an entire week, regardlessof how much the worker is used. Using the bottleneck method,…

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