Cost, revenue, and profit are in dollars and x is the number of units. If the marginal cost for a product is MC = 2x + 9 and the production of 10 units results in a total cost of $460, find the total cost function. C(x) =

Suppose that Alexander’s Coffee Shop has fixed costs of $18 and variable costs per unit of $4. The demand function for the coffee shop is P = 24 − 2Q. Given the demand and cost functions, calculate the maximum profit that Alexander’s Coffee Shop can earn.

A small business's cost to produce I units of a new product is given by C(x) = -0.001x² + 4x+506 dollars. The business earns a revenue of R(x) 4x dollars from selling I units. Determine the marginal profit of the %D business at a production level of 306 units. Enter your answer to the nearest whole number.

The manufacturer of an energy drink spends $1.40 to make each drink and sells them for $3. The manufacturer also has fixed costs each month of $8000. a. Find the cost function C when x energy drinks are manufactured C(x)= b. Find the revenue for R when x drinks are soldR(x)= c. Find the break even point by any method  x=         drinks

Cost, revenue, and profit are in dollars and x is the number of units. If the marginal cost for a product is MC = 2x + 20 and the total cost of producing 30 units is $2000, find the cost of producing 45 units. X $