A Sporting Goods Company makes basketballs and footballs. Each product is produced fromtwo resources-rubber and leather. The resource requirements for each product and the totalresources available are as follows:Resource requirements per UnitProductRubber (Ib)Leather ft?Basketball34Football2Total resources500lb800ft?availableEach basketball produced results in a profit of $12 and each football earns $16 in profit.a) Formulate a linear programming model to determine the number of basketballsand footballs to produce in order to maximize profit.b) Transform this model into standard form.c) Solve the model formulated by using graphical analysisd) Are there any binding constraint(s)? If Yes/No Explain

We will formulate a linear programming using given restriction and profit

Answered: A Sporting Goods Company makes…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Solve the following linear programming problem. You are taking two dietary supplements daily: Supplement A and Supplement B. An ounce of supplement A contains 9 units of calcium, 8 units of vitamin D, and 5 units of sodium. An ounce of supplement B contains 2 units of calcium, 4 units of vitamin D, and 3 units of sodium. Your goal is to get at least 90 units of calcium and at least 120 units of vitamin D from the supplements daily, while at the same time reducing the amount of sodium that you will get. How many ounces of each supplement should you take daily to reach your goals? Ounces of Supplement A = Blank 1. Fill in the blank, read surrounding text. Ounces of Supplement B = Blank 2. Fill in the blank, read surrounding text. How many units of sodium will you get daily under these circumstances? Units of Sodium = Blank 3. Fill in the blank, read surrounding text.
A) The ABC engineering organization is supposed to carry out 5 types of repairs through five different operations. The table below gives the time required per each repair, the daily repair capacity of the operations and the profit gained per each repair.Formulate the problem as a linear programming model to maximize the profit. Operation Time per repair(minute) time Operations min/day F G H I J A 20 10 12 30 18 400 В 30 28 11 13 410 C 15 19 24 26 420 D 27 13 37 14 430 E 30 29 27 17 20 415 Profit 20 19 21 18 17 /repair
Formulate but do not solve the following exercise as a linear programming problem.. TMA manufactures 37-in. high-definition LCD televisions in two separate locations: Location I and Location II. The output at Location I is at most 5500 televisions/month, whereas the output at Location II is at most 4700 televisions/month. TMA is the main supplier of televisions to Pulsar Corporation, its holding company, which has priority in having all its requirements met. In a certain month, Pulsar placed orders for 2600 and 3700 televisions to be shipped to two of its factories located in City A and City B, respectively. The shipping costs (in dollars) per television from the two TMA plants to the two Pulsar factories are as follows. From TMA Location I Location II Minimize TMA will ship x televisions from Location I to City A and y televisions from Location I to City B. Find a shipping schedule that meets the requirements of both companies while keeping costs, C (in dollars), to a minimum.…
Use Excel to solve the linear programming problem.At one of its factories, a manufacturer of televisions makes one or more of four models of HD units (without cases): a 20-in. LCD, a 42-in. LCD, a 42-in. plasma, and a 50-in. plasma. The assembly and testing time requirements for each model are shown in the table, together with the maximum amounts of time available per week for assembly and testing. In addition to these constraints, the supplier of cases indicated that it would supply no more than 290 cases per week and that of these, no more than 40 could be for the 20-in. LCD model.Use the profit for each television shown in the table to find the number of completed models of each type that should be produced to obtain the maximum profit for the week. Find the maximum profit. 20-in. LCD sets 42-in. LCD sets 42-in. plasma sets 50-in. plasma sets profit $ 20-in.LCD 42-in.LCD 42-in.Plasma 50-in.Plasma TotalAvailable Assembly time…
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