Formulate but do not solve the following exercise as a linear programming proble

Question

Formulate but do not solve the following exercise as a linear programming problem. National Business Machines manufactures x model A fax machines and y model B fax machines. Each model A cost $90 to make, and each model B costs $150. The profits are $35 for each model A and $40 for each model B fax machine. If the total number of fax machines demanded per month does not exceed 2100 and the company has earmarked not more than $600,000/month for manufacturing costs, how many units of each model should National make each month to maximize its monthly profits P in dollars? Maximize P = subject to the constraints manufacturing costs number produced x 0 y 0

Explanation / Answer

Let Na and Nb be the no. of units produced Objective function : Max Z= 35 Na+40Nb

such that

Na + Nb <= 2100

90 Na + 150 Nv <=600000

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