Set up the objective function and constraints for the following problem. Do not solve.A manufacturer builds 1, 3, and 10 speed bicycles. The bicycles need both aluminum and steel. The company has available 91,800 units of steel and 42,000 units of aluminum. The 1, 3, and 10 speed models need respectively 17, 27, and 34 units of steel, and 12, 21, and 15 units of aluminum. How many of each type of bicycle should be made in order to maximize profit if the company makes $8 per 1-speed, $12 per 3-speed and $22 per 10-speed?

What will be an ideal response?


Let
number of one-speed bikes
number of 3-speed bikes
number of 10-speed bikes

Maximize   subject to


Mathematics

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