Answer the following multiple choice questions regarding marginal cost, Rate of

Question

Answer the following multiple choice questions regarding marginal cost, Rate of change, demand level, and so forth

Multiple Choice 1 Determine the marginal cost at a production level of fifty for the cost function. 2. An emissions operation infiltrates the surrounding air according to the Concentration function. c(x) = 0.1/x^2 where c(X) is in parts per million and x is miles from emission site, Find the instantaneous rate of change at 0.5 miles 3. Monthly sales are given by s(t)= 100t/t^3 + 25 where t is months on the market for a new product. Determine the approximate marginal sales rate after one month. 4. If demand is x = 9,000 - 30p or price is p = 300 x/30 and cost is c(x)= 150,000 + 30x. find the demand level, x, of optimum profit. 5. Company estimates for sales of n(x) units after spending $x thousands on advertising are n(x)= -2x^3 + 90x^2 - 750x + 2,000 for 0

Explanation / Answer

1) Marginal cost = 40-x

When x =50, answer is b) -10

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2) a) -1.6 ppm

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s'(1) = 2300/26^2

3) c) 3.40

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4)

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