The Wellbuilt Company produces two types of wood chippers, economy and deluxe. T

Question

The Wellbuilt Company produces two types of wood chippers, economy and deluxe. The deluxe model requires 3 hours to assemble and 1 2 hour to paint, and the economy model requires 2 hours to assemble and 1 hour to paint. The maximum number of assembly hours available is 24 per day, and the maximum number of painting hours available is 8 per day. If the profit on the deluxe model is $94 per unit and the profit on the economy model is $78 per unit, how many units of each model will maximize profit?

Explanation / Answer

Variable

no. of unit of eco - E

no. of unit of deluxe - D

Constraint

1. assembling hours : 2E+3D <=24

2. painting hours : E+1.2D <=8

Objective

profit = 78E + 94D

Solution

2 unit of eco and 5 units of Deluxe

wood chipper optimal assemble painting profit eco 2 2 1 78 deluxe 5 3 1.2 94 total 19 8 626 constraint 24 8 - check 5 0

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