Problem 2 Use the simplex method to solve A company manufact

Problem 2 Use the simplex method to solve: A company manufactures three-speed five-speed, and ten-speed bicycles. Each bicycle passes through three departments: fabrication, painting & plating, final assembly. The relevant manufacturing data Is given below n the table. (A) How many bicycles of each type should the company manufacture per day in order to maximize the profit? What is the maximum profit? (B) Discuss the effect on the solution to part (A) if the profit on a ten-speed bicycle increases to $110 and all other data remains the same. (C) Discuss the effect on the solution to part (A) if the profit on a five-speed bicycle increases to $110 and all other data in part (A) remains the same.

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