Calculus Business Application Worksheet 1. A manufacturer makes fuel tanks for cars. The total weekly costs for the company to produce x tanks is C(x)=10000+90x-.05x² a. Find the marginal cost function. b. Use the marginal cost function to estimate the cost of the 501st tank. c. What is the cost to produce 400 tanks? d. Find the average cost to produce 700 tanks. e. Find the exact cost of the 501st tank.

A. Find the average cost function for ? televisions produced. B. Find the instantaneous rate of change of the average cost function.

The supply for a particular item is given by the function S(x) = 17 + 0.36x² . Find the producer's surplus if the equilibrium price of a unit $53. The producer's surplus is $

A company sells its product for $53 each. They can produce each product for $27 each and they have fixed costs of $8,700.   Using x to represent the number of items produced/sold, find the following functions: Cost function: C(x)=