A concert promoter sells tickets and has a marginal-profit function given below,

Question

A concert promoter sells tickets and has a marginal-profit function given below, where P'(x) is in dollars per ticket. this means that the rate of change of total profit with respect to the number of tickets sold, x, is P'(x). Find the total profit from the sale of the first 290 tickets, disregarding any fixed costs.

The total profit is $__.

A company that produces ribbon has found that the marginal cost of producing x yards of fancy ribbon is given by C'(x) = -.00002x(squared) - .04x + 49 for x is greater than or equal to 800, using 5 subintervals over [0,800] and the left endpoint of each subinterval.

The total cost of manufacturing 800 yards of ribbon is approximately $__.

A juice company has found that the marginal cost of producing x pints of fresh-squeezed orange juice is given by the function below, where C'(x) is in dollars. Approximate the total cost of producing 270 pt of juice, using 3 subintervals over [0,270] and the left endpoint of each subinterval.

C'(x) = .000007x(squared) - .0035x + 2, for x is greater than or equal to 350

The total cost is about $__.

Thanks In Advance!

Approximate the area under the graph of f(x) = 0.03x4 - 1.96x2 + 85 over the interval [3,11] by dividing the interval into 4 subintervals. Use the left endpoint of each subinterval. The area under the graph of f(x) = 0.03x4 - 1.96x2 + 85 over the interval [3,11] is approximately. (Simplify your answer. Type an integer or a decimal.)

Explanation / Answer

The total cost of manufacturing 800 yards of ribbon is approximately $__.

ANS:$2.46

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