A manufacturer produces the following two items: computer desks and bookcases. Department A has 65 hours available and department B has 37 hours available each week for production. To manufacture a computer desk requires 4 hours in department A and 3 hours in department B while a bookcase requiers 3 hours in department A and 2 hours in department B. Profits on the items are $74 and $26 respectively. If all the units can be sold, how many of each should be made to maximize profits? I need two linear equations and a profit function to represent this story problem.

Question

A manufacturer produces the following two items: computer desks and bookcases. Department A has 65 hours available and department B has 37 hours available each week for production. To manufacture a computer desk requires 4 hours in department A and 3 hours in department B while a bookcase requiers 3 hours in department A and 2 hours in department B. Profits on the items are $74 and $26 respectively. If all the units can be sold, how many of each should be made to maximize profits?         I need two linear equations and a profit function to represent this story problem.