Linear Programming, Mathematics

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#question.A manufacturer produces two items, bookcases and library tables. Each item requires processing in each of two departments. Department 1 has 40 hours available and department 2 has 36 hours available each week for production. To manufacture bookcases requires 2 hours in department 1 and 4 hours in department 2 while library tables requires 3 hours in department 1 and 2 hours in department 2. Profits on the items are $6 and $7 respectively. If all the units can be sold, how many of each should be made to maximize profits? What are you''re two equa00

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