need help with all the following with explanation

Page 38: problems 12,14,17,19 and 20 I In Problems 11714, give the cost, revenue, and profit functions. 12. A car wash operator pays $35,000 for a franchise, then spends $10 per car wash, which costs the consumer $15. 14. A lemonade stand operator sets up the stand for free in front ofthe neighbor's house, makes 5 quarts of lemonade for 54, then sells each 8702 cup for 25 cents. 17. A photocopying company has two different price lists. The rst price list is $100 plus 3 cents per copy; the second price list is 5200 plus 2 cents per copy. (a) For each price list, find the total cost as a function of the number of copies needed. (b) Determine which price list is cheaper for 5000 copies. (c) For what number of copies do both price lists charge the same amount? 19. A movie theater has fixed costs of $5000 per day and variable costs averaging $6 per customer. The theater charges $11 per ticket. (a) How many customers per day does the theater need _i_n_9_r_cl_e_r__t_9 make a profit? (b) Find the cost and revenue functions and graph them on the same axes. Mark the breakeeven point. 20. A company producing jigsaw puzzles has fixed costs of $6000 and variable costs of$2 per puzzle. The company sells the puzzles for $5 each. (a) Find formulas for the cost function, the revenue function, and the profit function. (h) Sketch a graph of R(q] and C(q) on the same axes. What is the breakreven point, qt], for the company