Suppose that the total cost of producing q widgets is given by C(q) = 0.02q + 50g + 1000. Also, suppose that the price of a widget is determined by p = %3D 100 – 0.005q. - а. What is the total revenue function? R(q) %3D b. What is the total profit function?

The marginal profit in souls that Freddy Krueger makes from haunting nightmares, x, can be modeled by dP dx = 8x + 20 Find the profit function P if from 2 nightmares, Freddy harvested 60 souls.

The total cost to manufacture and sell q exactotherms is given by the cost equation C(q) = 2000+5q. The revenue equation is R(q)= 40q - 0.05q^2 dollars for the sale of q exactotherms. Assume the profit is P(q)= R(q) - C (q).   Find the number of items q to sell so that the profit function P(q) has its maximum.    Find on which interval(s) the profit function is increasing and decreasing.

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.