An espresso stand finds that its weekly profit is a function of the price, z, it charges per cup. If z is in dollars, the weekly profit is P(x)=-22002 +8580x - 6645.75 dollars. (a) What is the maximum weekly profit. $ (Round to the nearest cent and do not include any commas in your answer.) (b) What price per cup that produces that maximum profit? $ (c) Which of the two functions below gives a function that has the same maximum profit? OA. P(x-3) B. P(x) - 3 (Round to the nearest cent.) (d) Based on the function in your answer to (c) above, what price per cup of produces that maximum profit? $ cent.) (Round to the nearest - (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(x) + 40. OB. P(Z +40) (f) Based on the function in your answer to (e) above, what is that maximum weekly profit? $ (Round to the nearest cent.) Consider the quadratic function w(x) = -3x - 27x+29. (a) The vertex of this parabola is at the point? Note: State the result in the form of a point (h, k) (b) What is the axis of symmetry for this parabola? Consider the quadratic equation v(t) = + 14t - 3. a) What are the coordinates of the vertex? Note: State result in the form of a point (h, k). b) What is the axis of symmetry?