Make sure to box or circle your final answer. 1. Write the cost function for each of the given scenarios. a) A lawyer charges $75, plus $30 per hour. b) A hauling service charges $8, plus $.30 per bag 2. Given the cost and revenue functions, find the profit function. a) C(x) = 5.60x + 120 and R(x) = 7.50x b) C(x) = 32.50x + 848 and R(x) = 40x 3. Peerless Publishing Company intends to publish Harriet's next novel. The estimated cost is $75,000 plus $5.50 for each copy printed. The selling price per copy is $15. Let x represent the number of copies printed and sold. a) Find the cost function C(x) b) Find the revenue function R(x). c) Find the profit function P(x). 4 . A company is planning to manufacturer computer desks. The fixed costs will be $60,000 and it will cost $200 to produce each desk. Each desk will sell for $450. Let x represent the numbers of desks produced and sold. a) Find the cost function C(x). b) Find the revenue function R(x). c) Find the profit function P(x). 5. You invest in a new play. The cost includes an overhead of $30,000, plus production costs of $2,500 per performance. A sold-out performance brings in $3125. Let x represent the number of sold-out performances. a) Find the cost function C(x). b) Find the revenue function R(x). c) Find the profit function P(x). 6. A company that manufactures and sells small radios has a cost function C(x) = 10,000 + 30x and a revenue function R(x) = 50x. a) Use the formulas to find R(200) - C(200). Describe what this means for company. b) Find the company's profit if 15,000 radios are produced and sold