Question 5 - Sketch a Graph [10 marks a) Sketch (plot) the graphs of position, velocity, and acceleration of a particle (for 0 S t S 8 ) that has the following characteristics. b) Come up with (the equation of) a position function that meets the above criteria. Explain how it meets all of the above conditions. Question 6 - Maximize Profit 1 10 marks Please review the attached note before solving the problem. A store sells 2000 action gures 3 month at a price of $15 each. After conducting market research, the company believes that sales will increase by 200 for each $0.20 decrease in price. a) Determine the demand function (106). (To avoid confusion let's call our demand function d(x) instead of 1.906)). b) If the cost function of producing 96 action gures is C(x) = 0. 004x2 10.125x + 5000 Determine the prot function P(x). 0) How many action gures should the company set as a sales target each month in order to maximize prot? d) At what sale price could the company expect to sell the action gures for maximum prot (from c)