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OFFLINE HOMEWORK Name: Section 2.7 & 3.1 1. The total cost, in dollars, of selling a certain commodity is modeled by C(x)=2x-300x+2500. The total
OFFLINE HOMEWORK Name: Section 2.7 & 3.1 1. The total cost, in dollars, of selling a certain commodity is modeled by C(x)=2x-300x+2500. The total revenue, in dollars, is modeled by R(x)=14x, where x is the number of units sold. a. Find the profit function b. Find the marginal profit function c. Find the marginal average profit function d. Use marginal analysis to estimate the profit from the sale of the 201 doll. 2. If $800 is invested at 4.7% interest rate, find the amount in the account after 9 years given the interest is compounded: (Show the set up) Annually: Quarterly: Hourly: Continuously: 3. The population of a certain town is increasing exponentially (continuously). In 2007 (t = 0), the population was 12,000. In the year 2019, the population was 23,000. Estimate the population in the year 2040.
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