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A Sporting Goods Company makes basketballs and footballs. Each product is produced from two resources-rubber and leather. The resource requirements for each product and the total resources available are as follows: Resource requirements per Unit Product Rubber (Ib) Leather ft? Basketball 4 Football 2 Total resources 500lb 800ft? available 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. b) Transform this model into standard form. c) Solve the model formulated by using graphical analysis d) Are there any binding constraint(s)? If Yes/No Explain

A Sporting Goods Company makes basketballs and footballs. Each product is produced from two resources-rubber and leather. The resource requirements for each product and the total resources available are as follows: Resource requirements per Unit Product Rubber (Ib) Leather ft? Basketball 4 Football 2 Total resources 500lb 800ft? available 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. b) Transform this model into standard form. c) Solve the model formulated by using graphical analysis d) Are there any binding constraint(s)? If Yes/No Explain

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 23EQ: 23. Consider a simple economy with just two industries: farming and manufacturing. Farming consumes...
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A Sporting Goods Company makes basketballs and footballs. Each product is produced from two resources-rubber and leather. The resource requirements for each product and the total resources available are as follows: Resource requirements per Unit Product Rubber (Ib) Leather ft? Basketball 3 4 Football 2 Total resources 500lb 800ft? available 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. b) Transform this model into standard form. c) Solve the model formulated by using graphical analysis d) Are there any binding constraint(s)? If Yes/No Explain
Transcribed Image Text:A Sporting Goods Company makes basketballs and footballs. Each product is produced from two resources-rubber and leather. The resource requirements for each product and the total resources available are as follows: Resource requirements per Unit Product Rubber (Ib) Leather ft? Basketball 3 4 Football 2 Total resources 500lb 800ft? available 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. b) Transform this model into standard form. c) Solve the model formulated by using graphical analysis d) Are there any binding constraint(s)? If Yes/No Explain
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