word problem for precalculus

Question

National Business Machines manufactures two models of portable printers: A and B. Each model A costs $100 to make, and each model B costs $160. The profits are $40 for each model A and $30 for each model B portable printer. If the total number of portable printers demanded per month does not exceed 2300 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? (Let x represent the number of units of model A and y represent the number of units of model B.) 

Maximize		P	=	40x+30y			subject to the constraints
manufacturing costs	100x+160y≤600000
number produced

Answer 1

According to EXCEL solver,

The number of A printers to be made is 2300

The number of B printers to be made is 0

The profit = $92,000