Manufacturing—Bicycles: For Exercise, the Wheelex Company manufactures bicycles and finds...

Manufacturing—Bicycles: For Exercise, the Wheelex Company manufactures bicycles and finds the price function for the bicycles to be

 p(x) = −0.02x + 190

where x represents the number of bicycles produced and sold and p(x) is the price of the bicycle. Furthermore, the fixed and variable costs to produce x bicycles are $5600 and $85 per bicycle, respectively.

The cost function follows the linear form C(x) = mx + b. Answer the following.

(a) Write the cost C in the linear form C(x) = mx + b.

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(b) Use calculus to compute the marginal cost function .