Find the profit function if cost and revenue are given by C(x) = 162 + 6.3x and R(x) = 3x - 0.01x. The profit function is P(x) =

A ceramics store manufactures and sells coffee mugs. The revenue r(x) from the sale of x coffee mugs is given by r(x)=6.5x. Suppose the function for the cost of manufacturing x coffee mugs is c(x)=0.75x+1850. a. Write the profit function. b. Find the profit on 500,1000, and 5000 coffee mugs.

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.