C(x) is the cost of producing x units of a commodity, then the average cost per unit is c(x) = C(x)/x. Consider the cost function C(x) given below C(x) = 24,000 + 150x + 6x3/2 (a) Find the total cost at a production level of 1000 units. (Round your answer to the nearest cent.) (b) Find the average cost at a production level of 1000 units. (Round your answer to the nearest cent.) per unit (c) Find the marginal cost at a production level of 1000 units. (Round your answer to the nearest cent.) $ per unit (d) Find the production level that will minimize the average cost. (Round your answer to the nearest whole number.) units (e) What is the minimum average cost? (Round your answer to the nearest dollar.) per unit

The rate of U.S. sales of bottled water for the period 2007-2014 could be approximated by s(t) = 0.08t² -0.26t+ 8.8 billion gallons per year (0 ≤ts 7), where t is time in years since the start of 2007.t (a) Estimate the average annual sales of bottled water over the period 2007-2011, to the nearest 100 million gallons per year. billion gallons per year (b) Compute the 2-year moving average of s. (You need not simplify the answer.) (c) Without simplifying the answer in part (b), say what kind of function the moving average is. constant O linear O quadratic cubic none of these Need Help? Read It

The total revenue curve of a firm is R(g) 40q - 12q? and its %3D 400 average cost A(q) q - 12.85q + 20 + 30 where q is the firm's output. b. Derive an expression C(q) for the firm's total cost function. ii. Derive an expression II(g) for the firm's profit function. iii. Is the rate of change of profit increasing or decreasing when the ouput level of the firm is 10 units? i.

Please answer the first one