A dealer wishes to purchase a number of fans and sewing machines. He has only Rs.5,760 to invest and has a space for at most 20 items. A fan costs him Rs. 360and a sewing machine Rs. 240. His expectation is that he can sell a fan at aprofit of Rs. 22 and a sewing machine at a profit of Rs. 18. Assuming that hecan sell all the items that he can buy, how should he invest his money inorder to maximize the profit? Formulate this as a linear programming problem and solve it graphically.

A dealer wishes to purchase a number of fans and sewing machines. He h

1.	A dealer wishes to purchase a number of fans and sewing machines. He has only Rs.5,760 to invest and has a space for at most 20 items. A fan costs him Rs. 360and a sewing machine Rs. 240. His expectation is that he can sell a fan at aprofit of Rs. 22 and a sewing machine at a profit of Rs. 18. Assuming that hecan sell all the items that he can buy, how should he invest his money inorder to maximize the profit? Formulate this as a linear programming problem and solve it graphically.
Answer» Correct Answer - 24 sewing machines only Maximize `P=22x+18y` subject to `x ge0,yx+yle20,360x+240yle5760.`

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Objective function of an LPP isA. a constraintB. a function to be optimisedC. a relation between the variableD. feasible region
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