Question: please I an interested in the solution for question 2 Question 1 A Sporting Goods Company makes basketballs and footballs. Each product is produced from
please I an interested in the solution for question 2
Question 1
A Sporting Goods Company makes basketballs and footballs. Each product is produced from two resourcesrubber and leather. The resource requirements for each product and the total resources available are as follows: Resource requirements per Unit Product Rubber (lb) Leather ft2 Basketball 3 4 Football 2 5 Total resources available 500lb 800ft2 Each 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 basketballs and footballs to produce in order to maximize profit. AN, (7) b) Transform this model into standard form. AP (5) c) Solve the model formulated by using graphical analysis AN (8) 2 d) Are there any binding constraint(s)? If Yes/No Explain AP (5) TOTAL [25]
Question 2
Using the information in question 1 of the Sporting Goods Company, answer the following: a) Identify the number of unused resources (i.e., slack) at each of the graphical extreme points AN (8) b) What would be the effect on the optimal solution if the profit for a basketball changed from $12 to $13? AN (7) c) What would be the effect if the profit for a football changed from $16 to $15? AP (5) d) What would be the effect on the optimal solution if 500 additional pounds of rubber could be obtained? What would be the effect if 500 additional square feet of leather could be obtained?
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