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Please see the attached file for the questions. Write your answers with all detailed calculations for each question on separate sheets of paper then scan (or take picture)MATH 1325 QUIZ/PROJECT

separate sheets of paper then scan (or take picture) and submit to eCampus under the

same folder (Do not send them to my email).

1. A company’s total cost, in millions of dollars, is given by ( ) = 120 − 80 − where t =
time in years. Find the marginal cost when t = 4.

2. ( ) = − 3 + 12 2 − 36 + 400, ≥ 3 is an approximation to the total profit (in
thousands of dollars) from the sale of x hundred thousand tires. Find the number of hundred

thousands of tires that must be sold to maximize profit.

3. Given the revenue and cost functions = 28 − 0.3 2 and = 5 + 9, where is the daily
production, find the rate of change of profit with respect to time when 10 units are produced

and the rate of change of production is 4 units per day.

4. Find the producers’ surplus at a price level of �̅� = \$30 for the price-supply equation
= ( ) = 14 + 0.0004 2

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