Math Problem Solver

A manufacturer produces three models (I, II, III) of a certain product. He uses two types of raw

material (A and B), of which 4000 and 6000 units are available, respectively. The raw material

requirements per unit of the three models are given below.

Requirements per unit of given model

Raw Material I II III

A 2 3 5

B 4 2 7

The labor time for each unit of model I is twice that of model II and three times that of model

III. The entire labor force of the factory can produce the equivalent of 1500 units of model

I. A market survey indicates that the minimum demand for the three models is 200, 200 and

150 units respectively. However, the ratios of the number of units produced must be equal to

3:2:5. Assume that the profit per unit of models I, II and III is $30, $20 and $50, respectively.Formulate the problem as a linear programme model to determine the number of units of eachproduct that will maximize profit and solve it using simplex method.