Directions: Show all work, and answer each question that is asked. Clearly indic

Question

Directions: Show all work, and answer each question that is asked. Clearly indicate your final answer by circling, boxing, or highlighting. Give exact answers unless specified to round. 1. Find a function whose graph is a parabola with vertex (3,4) and that passes through thee point (1,-8). 2. A softdrink vendor at a popular beach analyzes his sales records and finds that if he sells x cans of soda pop in one day, his profits (in dollars) is given by P(x)0.001x+3x-1800 What is his maximum profit per day and how many cans must he sell for maximum profit?

Explanation / Answer

P(x) = - 0.001x^2 + 3x - 1800

maximum profit occurs at the vertex of the equation

maximum profit is at x = - 3 / 2 ( - 0.001 )

x = 1500

maximum profit is P =  - 0.001(1500)^2 + 3(1500) - 1800 = 450

maximum profit = $ 450 per day and he must sell 1500 cans to maximize profit

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