The average cost when producing x items is found by dividing the cost function, (x), by the number of items, x. When is the average cost less than 100, given the cost function is C(x) = 10x+ 180? O(-0,0)U(2,00) O (2,00) O (0,2) O(-0.0]U[2,00)

A study of driving costs of 2015 model sedan cars found that the average cost (car payments, gas, insurance, upkeep, and depreciation), measured in cents/mile, is approximated by AC(x) = 45+ 120 where denotes the number of miles (in thousands of miles) the car is driven in a X x year. 1. What is the average cost of driving a sedan car 20,000 mi/yr? 2. What happens to the average cost as the number of miles driven increases without bound?

The total profit in dollars from the sale of x charcoal grills is P(x)=20x-.01x^2-260

Samsung′s total revenue curve is R(q) = 126q + 40q2and its average cost isA(q) = q2 + 12q − 1233 −6930/q.a. State the name of the function derived when the average cost, A(q), andSamsung’s quantity, q, are multiplied.

Suppose the function C(x) = 0.005x^3 − 0.15x^2 + 3x + 210 gives the daily cost to run a plastic tub factory on a day when x plastic tubs are manufactured.a) Find the marginal cost function. b) Find the marginal cost when 100 tubs have been manufactured. Explain this value in a sentence. c) Find the average cost per tub if 200 tubs are manufactured. d) Find the marginal average cost function C'(x).

A computer chip manufacturer has determined the weekly demand of their product is given by the function, f(x) = x^2 + 6x + 6  (where f(x) is profit measured in dollars and x is measured in units sold) find the average rate of change as the number of units sold changes from x = 7 to x = 15. ALSO, find the equation of the line passing through the two points on the function. What does the average rate of change tell you in terms of this scenario?

Consider a function f(x) that represents the cost, in dollars, of producing x units of a product. The revenue, in dollars, generated by selling x units of the product is given by g(x) = 100x - 2x^2. Find the production level that maximizes the profit and calculate the maximum profit.

The total cost (in dollars) of producing x motorcycle frames is C(x)=13000+300x.  (A) Find the average cost per motorcycle if 500 frames are produced. Ave. cost per motorcycle = (B) Find the marginal average cost at a production level of 500 frames. Marginal average cost = (C) Use the results from parts (A) and (B) to estimate the average cost per frame if 501 frames are produced. Average cost =

The demand function for the product manufactured by a monopolist is p = 22 − 0.16q. The total cost function is c = 0.04q^2 + 10q + 40 dollars per unit. Find the output level and the price at which profit is maximized.What is the profit?

Suppose the operating cost for driving a certain truck is (10 + (1 / 30) x) pesos per km when the truck travels at x kph, and the driver of the truck is being paid at Php 270 per hour. Determine the least and greatest total cost of driving the truck along a 100 km highway where the minimum speed limit is 60 kph and the maximum speed limit is 120 kph.