1.Compute the simple interestINTfor the specified length of time and the future valueFVat the end of that time (in dollars). Round all answers to the nearest cent.

$4,000is invested for12years at10% per year.

INT=$

FV=$

2.Assume that it costs a company approximately

C(x) =576,000+ 160x+ 0.001x²

dollars to manufacturexunits of a device in an hour at one of their manufacturing centers. How many devices should be manufactured each hour to minimize average cost?

units

What is the resulting average cost of a device?

$

How does the average cost compare with the marginal cost at the optimal production level? Find how much they differ.

$

3.Revenue

The Better Baby Buggy Co. has just come out with a new model, the Turbo. The market research department predicts that the demand equation for Turbos is given byq=4p+344,

whereqis the number of buggies the company can sell in a month if the price is $pper buggy. At what price (in dollars) should it sell the buggies to get the largest revenue?

p= $

What is the largest monthly revenue (in dollars)?

$