SOLUTION: A manufacturer produces the following two items: desks and bookcases. Each item requires processing in each two departments. Department A has 55 hours available and department B ha

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Question 796073: A manufacturer produces the following two items: desks and bookcases. Each item requires processing in each two departments. Department A has 55 hours available and department B has 39 hours available each week for production. To manufacture a computer desk requires 4 hours in department A and 3 hours in department B. Profits on the items are $72 and $23 respectively. If all of the units can be sold, how many of each should be made to maximize profits?
Let X be the number of computer desks that are sold and Y be the number of bookcases sold.
1. write down a linear inequality for the hours used in department A.
2. write down a linear inequality for the hours used in department B.

Answer by psbhowmick(878) About Me  (Show Source):
You can put this solution on YOUR website!
Write down the objective function.
Then frame the inequalities for the constraints and solve the Linear Programming problem by drawing graph.