9. (22 pts) The cost, in dollars, for a company to produce x doodads is given by C(x) 500 7x for x 20, and the price-demand function, in dollars per doodads, is p(x) 17-.010x for 0 sx s 1700. Find the following. SHOW YOUR WORK Hint: Your numbers will be "nice" if done correctly. (a) Write the equation for the profit function Pa). Graph the profit function below. (b) Find the vertex of the profit function P(x) using algebra. Show algebraic work. (e) State the maximum profit and the number of doodads which yield that maximun profit: The maximum profit is when doodads are produced and sold (d) Determine the price to charge per doodad in order to maximize profit. (e) Find and interpret the break-even points Activity Details
Show transcribed image text 9. (22 pts) The cost, in dollars, for a company to produce x doodads is given by C(x) 500 7x for x 20, and the price-demand function, in dollars per doodads, is p(x) 17-.010x for 0 sx s 1700. Find the following. SHOW YOUR WORK Hint: Your numbers will be "nice" if done correctly. (a) Write the equation for the profit function Pa). Graph the profit function below. (b) Find the vertex of the profit function P(x) using algebra. Show algebraic work. (e) State the maximum profit and the number of doodads which yield that maximun profit: The maximum profit is when doodads are produced and sold (d) Determine the price to charge per doodad in order to maximize profit. (e) Find and interpret the break-even points Activity Details