Exam Question Evaluate /z'd x+dx. Exam Question 01+0 1 x + C x +C 3 4x + C 0 1 5 -x +C x5 + C *A company has total profit function P(x) = x + 292x - 21091, where x is the number of items (or production level.) (a) Find the break-even production level(s). items (Enter your answers separated by a comma if you have more than one.) (b) What production level(s) maximize profit? items (Enter your answers separated by a comma if you have more than one.) (c) What is the maximum profit? The maximum profit is dollars. (d) Fill in the value for each letter on the graph of the profit function. Enter a number, not an ordered pair. (Graph is not to scale.) P(x) A B A = B = C = " D = E = x E answer.) Evaluate the algebraic expression at the indicated values of the variables. (Simplify your 3x-5y-4xy at x 4 and y = -2 *Suppose the profit from the sale of x items of a product is P(x) = x+92x - 691. What two production levels will yield a profit of $1200? (Enter your answers separated with a comma.) items R(x) = 47x + 33x 2x+2 Suppose a company's revenue function (in dollars) is where x is the number of items sold. Find the marginal revenue when 23 items are sold. (Round your answer to the nearest whole number.) A company has marginal revenue function MR a) Find the total revenue function. R(x) = = b) What is the total revenue from selling 50 items? -0.6x+43. Suppose that the total cost (in dollars) for a product is given by C(x)=1300+ 180 ln(3x + 1) where x is the number of units produced. (a) Find the marginal cost function, MC. MC = (b) Find the total cost of producing 190 units. (round to 2 decimal places.) (c) Find the marginal cost when 190 units are produced. (round to 2 decimal places.) *A company sells a package of face masks for $17.95. Assume the total costs (in dollars) to produce x packages of masks is C(x) = 0.25x + 725. A. What is the company's revenue function, R(x)? R(x) = B. What is the company's revenue from selling 88 packages of face masks? $ (Round your answer to two decimal places if needed.) C. What is the company's total cost from selling 88 packages of face masks? $ (Round your answer to two decimal places if needed.) D. What is the company's profit from selling 88 packages of face masks? $ (Round your answer to two decimal places if needed.) Which step is part of finding the derivative of the function below? The correct choice may not be in simplified form. y=6e3x+1 y= 6.3.e6x y= 36.3x+1 y= 6.6x3x+1 Oy=6.3.e y= 6.3.3x+1 y= 6.e6x . y= 6 (3x + 1) er *A company makes portable heaters for outdoor dining. The company has total cost function C(x)=40x+1220 and the total revenue function R(x) = 72x, where x represents the number of heaters. (a) What is the company's profit function, P(x)? (Simplify your expression.) P(x) = (b) What is the company's profit if they sell 60 heaters? $ (Round to the nearest whole number if needed.)