A retailer wishes to buy a number of transistor radio sets of types A and B....
A retailer wishes to buy a number of transistor radio sets of types A and B. Type A cost $36 each and type B cost $24 each. The retailer knows that he cannot sell more than 20 sets, so he does not want to buy more than 20 sets and he cannot afford to pay more than $576. His expectation is that he would get a profit of $5 for each set of type A and $4 for each set of type B. Formulate a mathematical model to find how many of each type should be purchased in order to make his total profit as large as possible?
Homework Answers
Let,
x1 = number of radio sets of type A to buy
x2 = number of radio sets of type B to buy
Objective is to make profit = Max 5x1+4x2
Subject to,
36x1+24x2 <= 576 (Cost constraint)
x1+x2 <= 20 (Number constraint)
x1,x2 >= 0 (Non-negativity constraint)
Solving in solver we get,
x1 = number of radio sets of type A to buy = 8
x2 = number of radio sets of type B to buy = 12
Maximized profit = 88
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A retailer wishes to buy a number of transistor radio sets of
types A and B....
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thanks?
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