An online seller of T-shirts pays $500 to start up the website and $8 per Tshirt, then sells the Tshirts for $11 each. Give the cost, revenue, and prot functions in terms of q, the number of shirts sold. The revenue from selling q items is R(q) = 500g Q2, and the total cost is C(q) = 150 + 10]. (a) Write a function that gives the total prot earned. a: (b) Find the quantity which maximizes the prot. The quantity that maximizes prot is q : E The total cost C (q) of producing q goods is given by: C (q) = 0.01q3 - 0.6q2 + 13q. (a) What is the fixed cost? e Textbook and Media (b) What is the maximum profit if each item is sold for $7? (Assume you sell everything you produce.) e Textbook and Media (c) Suppose exactly 34 goods are produced. They all sell when the price is $7 each, but for each $1 increase in price, 2 fewer good are sold. Should the price be raised? V yes no w much? If not, enter 0. $