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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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.…
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