1. A certain company makes water purification systems. The factory can produce x water systems per year. The profit the company makes is a function of the number of systems it produces. The profit function and its graph are given below. P(x) = -2x+ 1000x (x 0) a. Based on the graph, how many water systems should be produced to maximize profit? C. Profit ($) Company Profit versus Number of P(x) Systems Produced 150000 125000 100000 1+ annare that for o 75000 50000 25000 0 0 b. Use the value of x that you obtained in part (a) to determine the maximum profit. P(x)=-2x+1000x 100 200 300 400 500 Number of Waters Systems Find the vertex of this parabola using the vertex formula. d. How does the vertex found in part c compare to the values found in parts (a) and (b)? additional stor utam the samnanu nraduan un to 600