An espresso stand finds that its weekly profit is a function of the price, w, it charges per cup. If m is in dollars, the weekly profit is P(:r:) : 3300:r:2 + 75903: 2718 dollars. (a) What is the maximum weekly profit. $ 6585/4 (Round to the nearest cent and do not include any commas in your answer.) (b) What price per cup that produces that maximum profit? 95 23/20 (Round to the nearest cent.) (c) Which of the two functions below gives a function that has the same maximum profit? 0 A. P(;n) 3 Q) B. P(a: 3) (d) Based on the function in your answer to (0) above, what price per cup of produces that maximum profit? $ | (Round to the nearest cent.) (e) Which of the two functions below gives gives a function where the price per cup that produces the maximum profit remains unchanged? OA. P(m + 80) B. P(ac) + 80 (1) Based on the function in your answer to (e) above, what is that maximum weekly profit? $ (Round to the nearest cent.) The graph of y : f(:13) is given below: On a piece of paper sketch the graph of y : x 1) and determine the new coordinates of points A, B and C. On a piece of paper sketch the graph of y : f(a:) 3 and determine the new coordinates of points A, B and C. The graph of f(:t:) : 3:2 is sketched in black and it had undergone a series of transformations to graphs of functions f1 sketched in green, f2 sketched in blue. and f3 sketched in red. f > f1 > f2 ) f3. Use f(a:) : m2 to identifythe function f1(:t:); f 1W) = Use f1(:1:) to identify the function f2(:1:): Mm) Z Use 1301:) to identify the function f3(a:); 13(3) = 2 The graph of y : a: is given below: 5 Find a formula for each of the transformations whose graphs are given below. a) E 1.8