Skis are produced in two types, downhill and cross country. The required time fo

Question

Skis are produced in two types, downhill and cross country. The required time for manufacturing each ski are downhill: 2.5 hours, cross country 1.5 hours. The finishing time per ski: downhill 0.5 hours and cross country 1.5 hours.The maximum total weekly hours available for manufacturing and finishing the skis are 90 hours and 42 hours, respectively. The profit per ski are $50 fpr downhill and $50 for cross country. Determine how many of each kind of ski should be produced to achieve a maximum profit?

Explanation / Answer

42=(.5)(D) + (1.5)(CC) 90=(2.5)(D) + (1.5)(CC) Solve CC=(42-(.5)D)/1.5 Plug back into second 90=(2.5)(D) + (1.5)((42-(.5)D)/1.5) D=24, CC=20 Profit= 24*$50 +20*$50 =$2200

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