The graph of a company's profit P(t) in dollars, at month t is shown. Complete parts a through e below. 0 3 6 9 12 15 18 21 24 27 0 100 200 300 400 500 600 700 800 900 1000 1100 t P(t) A coordinate system has a horizontal t-axis labeled from 0 to 27 in increments of 3 and a vertical P(t)-axis labeled from 0 to 1100 in increments of 100. From left to right, a curve rises at a decreasing rate starting at the point left parenthesis 0 comma 0 right parenthesis comma is horizontal when passing through the point left parenthesis 6 comma 550 right parenthesis comma rises at an increasing rate to the point left parenthesis 12 comma 700 right parenthesis and then at a decreasing rate to the

point left parenthesis 18 comma 940 right parenthesis comma falls at an increasing rate to the point left parenthesis 21 comma 860 right parenthesis and then at a decreasing rate to the point left parenthesis 24 comma 770 right parenthesis comma and rises at an increasing rate. All coordinates are approximate. a. Identify the critical numbers. t equals nothing (Type a whole number. Use a comma to separate answers as needed.) b. Which critical number(s) correspond to relative maxima? t equals nothing (Type a whole number. Use a comma to separate answers as needed.) c. Which critical number(s) correspond to relative minima? t equals nothing (Type a whole number. Use a comma to separate answers as needed.) d. Which critical number(s) correspond to neither relative maxima nor relative minima? t equals nothing (Type a whole number. Use a comma to separate answers as needed.) e. For what length of time was the profit decreasing? nothing months