Finding objective function for the problem

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Reference no: EM13105630

A company makes products A and B from 2 resources, labor and material. The company wants to determine the selling price which will maximize profits. A unit of product A costs 25 to make and demand is estimated to be 20 - .10 * Price of A. A unit of product B costs 18 to make and demand is estimated to be 30 - .07 * Price of B. The utilization of labor and materials and the available quantity of resources is shown in the table. A reasonable price for the products is between 100 and 200.

Product

A

B

Available resources

Labor (hr/unit)

3

2

150

Material (ounces/unit)

1

2

200

Manufacturing cost($/unit)

25

18

 

Demand (units)

20 - 0.10*P1

30 - 0.07*P2

 

Let X1 = demand for As and X2 = demand for Bs.

Let P1 = price for As and P2 = price for Bs.

What is the objective function for this problem?

 

 

Reference no: EM13105630

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