Suppose that a furniture manufacturer makes chairs, sofas, and tables. Consider

Question

Suppose that a furniture manufacturer makes chairs, sofas, and tables. Consider the following chart of labor hours required and available.

......................Chair ......Sofa ..........Table ................Daily labor available (labor-hours)

Carpentry ......6 ............3................. 8 ...........................752

Finishing ......1............. 1 .................2 .........................148

Upholstery ....2............ 5 ..................0 .........................184

The profit per chair is $60, per sofa $50, and per table $100. How many pieces of each type of furniture should be manufactured each day to maximize the profit?

Explanation / Answer

LET THE CHAIRS MADE = C LET THE SOFAS MADE = S LET THE TABLES MADE = T PROFIT FUNCTION IS ..P=60C+50S+100T....TO BE MAXIMIZED CONSTRAINTS..... CARPENTRY HRS= 6C+3S+8T< = 752 FINISHING HRS= C+S+2T

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