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MAT 210 Quiz 11 Name ________________________________

Class Time ______________

1) Computexic produces and sells special computers. The computers sell for a fixed price of $380 each.

The cost, in dollars, of producing x computers is given by C(x) = 275000 + 255x + .0081x2.

a) Find the profit function, [pic].

b) Find the marginal profit function, [pic].

c) About how much would it cost to produce one more computer if the company had already produced 8500?

d) Find the marginal profit if the company had already produced 8500.

e) How many computers should the company produce to maximize the profit?

f) What is the maximum profit?

g) At minimum, how many computers would the company have to make to start making a profit?

Evaluate the following integrals. (Find the EXACT VALUES, not calculator approximations.)

2) [pic] Don’t forget “+ C” on indefinite integrals!

3) [pic]

4) [pic]

5) [pic]

6) [pic]

7) [pic]

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