A new ski shop opened up in town and you have been hired to help them determine

Question

A new ski shop opened up in town and you have been hired to help them determine how to make the most profit. You know the following information: the ski shop makes two types of skis: a racing model and a freestyle model. Each pai of freestyle requires 2 hours of labor, while each pair of racing skis requires 3 hours. The company can produce at most 30 pairs of freestyle skis and produce at most 20 pairs of racing skies. The maximum number of hours for labor for ski production is 90. The profit in each pair of each racing skies is 60.00 and freestyle skis is 80.00. How many skis of each type should the shop manufacture to make a maximum profit. Write three inequalities to represent the constraints.

Explanation / Answer

R=Number of racing F=Number of freestyle Profit = 60R+80F #of skis produced = 2F+3R

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