(1 point) An espresso stand nds that its weekly prot is a function ofthe price, m, it charges per cup. If m is in dollars, the weekly prot is P(:1;) = 3'i'00ar;2 + 136902 11027.5 dollars. (a) What is the maximum weekly prot. $ (Round to the nearest cent and do not include any commas in your answer.) (b) What price per cup that produces that maximum prot? $ (Round to the nearest cent.) (c) Which of the two functions below gives a function that has the same maximum prot? 0 A. P(:.c 3) o B. P(m) 3 (d) Based on the function in your answer to (c) above, what price per cup of produces that maximum prot? $ (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? 0 A. P(.:c) + 40 O B. P(m + 40) (f) Based on the function in your answer to (e) above, what is that maximum weekly prot? $ (Round to the nearest cent.)