Kalyan Singhal Corp. makes three products, and it has three machines available as resources as given in the following LPproblem:Maximize contribution =4X₁ + 4X2 +7X31X₁ +7x2 +4X3 ≤ 100(C₁: hours on machine 1)2X1 + 1X2 +7X3 ≤ 110(C2: hours on machine 2)8X₁ +4X2 + 1X3 ≤ 100(C3: hours on machine 3)X1, X2, X3 ≥0 a) Using a computer software for solving LP, the optimal solution achieved is:X₁ == 6.25 (round your response to two decimal places).= 5.11 (round your response to two decimal places).X3 9.48 (round your response to two decimal places).Contribution (objective value) = 111.86 (round your response to two decimal places).b) Machine 1 has 0 hours of unused time available at the optimal solution (round your response to two decimal places).Machine 2 has 0 hours of unused time available at the optimal solution (round your response to two decimal places).

Answered: Image /qna-images/answer/84873fec-56a5-4905-9d69-8467c8a850ef.jpg

Answered: Kalyan Singhal Corp. makes three…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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Mark has a company that produces tables and chairs, both having two different models. The product models and related information are given in the following table. Wood costs 3000 $ per cubic meter and 200 m3 of wood are available for the upcoming month. The cost of labor is 40 $/hour and there are 6000 hours of labor available in a month. Mark sells his products to a big chain retail company. The company purchases all products whatever Mark produces. Mark formulates an LP as follows to determine the optimal monthly production plan such that he maximizes the total profit. Decision Variables: X1 : number of basic tables to be produced. X2 : number of elegant tables to be produced. X3 : number of basic chairs to be produced. X4 :number of elegant chairs to be produced. Max Z = 140 X1 + 345 X2 + 120 X3 + 260 X4 ( maximize total profit) Subject to 0.11 X1 + 0.13 X2 + 0.06 X3 + 0.07 X4 ≤ 200 (constraint on the available amount of wood) 2 X1 + 4.5 X2 + 1.5 X3 + 4 X4 ≤ 6000…
CompDesk, Inc., makes a single model of an ergonomic desk (with chair) for computer usage. The desk is manufactured in building 1, and the chair is manufactured in building 2. Monthly capacities and production levels are as follows. Building 1 (Desks) Building 2 (Chairs) Monthly capacity 400 500 Monthly production 400 400 The company will sell a desk only with a chair and can sell 500 desks per month. The units (desk with chair) sell for $312 each and have a variable cost of $129 each. Required: a. Is there a bottleneck at CompDesk in Building 1 or Building 2? b. CompDesk’s production supervisors state they could increase building 1’s capacity by 100 desks per month by producing desks on the weekend. Producing on the weekend would not affect the sales price. Variable cost per unit would increase by $29 for those produced on the weekend because of the premium paid to labor. Fixed costs would also increase by $20,800 per month. b-1. Calculate the differential…
Zucchero Sugar, Inc. has six processing departments for refining sugar—Affination, Carbonation, Decolorization, Boiling, Recovery, and Packaging. Conversion costs are added evenly throughout each process. Data from the month of August for the Recovery Department are as follows: Metric Tons Beginning Work−in−Process Inventory 0 Transferred in 22,000 Ending Work−in−Process Inventory 6,000 Costs Beginning Work−in−Process Inventory $0 Costs added during August : Direct materials 530,000 Direct labor 250,000 Manufacturing overhead 105,000 Total costs added during August $885,000 The ending Work−in−Process Inventory is 100% and 95% complete with respect to direct materials and conversion costs, respectively. The weighted−average method is used. How many metric tons of sugar were refined and transferred to the Packaging Department in August? A. 6,000 metric tons B.…
California MegaTech is a manufacturing company that, due to low interest rates, thinks now may be the time to finance expansion into the Los Angeles and/or San Francisco areas by building factories there. However, the company only has a $10 million capital budget. So management must decide what to build and where in order to maximize the expansion's net present value (NPV). This investment is subject to the following considerations: Net Present Value ($mil) LA SF Capital Required ($mil) LA SF Warehouse 4 Warehouse 2 Factory 8 Factory 3 The company is willing to build a factory at either or both locations. The company is willing to build no more than one factory in each location. The company is willing to build only ONE warehouse. The company is willing to build a warehouse ONLY if a factory is built at the same location. Each potential factory/warehouse has capital requirements. Each potential factory/warehouse has a positive net present value. The company is only willing to commit $10…
A manager must decide which type of equipment to buy, Type A or Type B. Type A equipment cost $15,000 each, and Type B cost $11,000 each. The equipment can be operated 8 hours a day, 250 days a year. Either machine can be used to perfom two types of chemical analysis, C1 and C2. Annual service requirements and processing times are shown in the following table. Which type of equipment should be purchased, and how many of that type wil be need? The goal is to minimize total purchase cost. processing time per analysis (hr) Analysis type Annual volume A B C1 1200 1 2 C2 900 3…
Valencia products makes automobile radar detectors and assembles two models. Laser stop and Speedbuster both models use the same electronic components after reviewing the components required and the profit for each model, the firm found the following linear optimization model for profit, where L is the number of LaserStop models produced and S is the number of Speedbuster models produced. Implement the linear optimization model on a spreadsheet and use. Solver to find an optimal solution. Interpret the optimal solution, identify the binding constraints and verify the values of the slack variables . Maximize profit = 123 L + 139 S 19 L + 11 S < 4,000 (availability of component A) 6 L + 9 S < 35000 (availability of component B) L > 0 and S > 0 The optimal solution is to produce how many Laser stop models ? And how many Speedbuster models ? The maximum possible profit is ? Component A is or is not a binding…
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A retail has 8 stores supplied from 4 suppliers, where each supplier supplies different goods. Delivery from the Supplier is in trucks with a capacity of 40,000 units at a cost of $1100 per load plus $100 per delivery to the store. Inventory costs are $0.2 per unit per year. The Supply Chain Manager is considering whether to use direct shipping or Milk Run delivery for 4 stores for each truck in one shipment a) if annual sales in each store are 1000,000 units, which shipping method provides the lower cost b) if the annual sales in each store are 200,000 units, which shipping method provides the lower cost
The manager of a company wishes to assign three jobs to four machines on one-on-one basis. The cost of each job on each machine if given on the following table. Solve it through Branch and Bound on Assignment Problem.
Please don't forget to show residuals... needed for the Ford Fulkerson method

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