Calculus homework help

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 πΆ(π‘) = 120 β 80π
βπ‘ where t =

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time in years. Find the marginal cost when t = 4.
2. π(π₯) = βπ₯
3 + 12π₯
2 β 36π₯ + 400, π₯ β₯ 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 π = 28π₯ β 0.3π₯
2
and πΆ = 5π₯ + 9, where π₯ 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 πΜ= \$30 for the price-supply equation
π = π(π₯) = 14 + 0.0004π₯ Calculus homework help
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