A company produces two types of products: engine A and engine B. Engine A is of

Question

A company produces two types of products: engine A and engine B. Engine A is of superior quality and engine B is of lower quality. Respective profits for the two types of engines are $4M and $3M, respectively. The data on the resources required and resource availability are shown in the table below:

A                      B          Capacity available/mo.

Raw materials (kg)                             120                  60                    12000

Machining time (hrs./piece)              5                     8                      600

Assembly (man-hour)                         4                      3                      500

Write the objective function and constraints for this problem.

Explanation / Answer

Let x denotes the number of engine A and y denotes the number of engine B to be produced to achieve maximum profit

Maximize Z = 4x + 3y
subject to
120x + 60y <= 12000 .. Raw material constraint
5x + 8y <= 600 .. Machining time constraint
4x + 3y <= 500 .. Assembly(man-hour) constraint
x >= 0 and y >= 0

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