answer questions on attached images. Full answers and show work

1. The Ice Cream Lovers Society decided to open up an ice cream stand during the summer months. They calculated that it would cost them $0.80 to make a scoop of ice cream and $350 a month to operate the stand. They hired a research team who determined that the price- demand function given in dollars is p (x) = 8 0.02x where x is the number of scoops sold. a. Find the revenue function]? (x). b. Grath (x)on the coordinate plane provided on the back of the page. c. Find the value of x that produces the maximum revenue. d. What is the maximum revenue? e. What is the price per scoop of ice cream that produces the maximum revenue? f. Find the cost function C (x) that describes the monthly costs of operating the ice cream stand. g. Graph C (x) onto the same coordinate plane as R (x) h. Find the breakeven points to the nearest scoop. i. For what values of xwill a loss occur? A prot? Using the functions R (x) and C (x) , form a prot function P (x) and graph it onto the same coordinate plane asR (x) and C (x) . . Find the x intercepts of P (x) rounded to the nearest scoop. Discuss the relationship between the x intercepts of P (x) and the intersection points of R (x)and C(x). . Find the value of x that produces the maximum prot (to the nearest scoop). . What is the maximum prot? . What is the price per scoop of ice cream that produces the maximum prot? . Are the maximum prot and the maximum revenue the same? Explain