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1. In this problem, you consider a small computer company. (a) The company estimates that the...

1. In this problem, you consider a small computer company.

(a) The company estimates that the total cost (in dollars) of manufacturing and shipping x laptops is given by C(x) = 16000 + 200x+ 4x3/2. If the company wishes to minimize the average cost of manufacturing and shipping a laptop, how many laptops should they produce?

(b) Suppose the company plans to sell each laptop for p(x) = 880−x dollars. Determine the company's maximum possible revenue. At what price should the laptops be sold in order to achieve this?

2. Use the linear approximation to f(x) = sinπx at a= 3 to estimate the value of sin(3.05π).

Math   Calculus   
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