1. The point at which a company's costs equals its revenue is the break-even. C represents cost, in dollars, of y units of a product. R represents the revenue, in dollars, for the sale of units. Find the number of units that must be produced and sold in order to break even. C=15x + 12,000 R=18x - 6000 2. The cost for labor associated with fixing a washing machine is computed as follows: There is a fixed charge of $25 for the repairman to come to the house, to which a charge of $20 per hour is added. F equation that can be used to determine the labor cost, C, of a repair that takes x hours. Write the final answer in the form C = mx+b. 3. A small company that makes hand sewn leather shoes has fixed costs of $320 a day, and total costs of $1200 per day at an output of 20 pairs of shoes per day. Assume that total cost C is Inearly related to output x Find an equation of the line relating outout to cost. Write the final answer 4. Using a phone card to make a long distance call costs a flat fee of $0.85 plus $0.19 per minute starting with the first minute. Find the total cost of a phone call which lasts 8 minutes. 5. The mathematical model C= 600x + 30,000 represents the cost in dollars a company has in manufacturing x items during a month. Using this model, how much does it cost to produce 600 kems? 6. In economics, functions that involve revenue, cost and profit are used. Suppose R(x) and C(x) denote the total revenue and the total cost, respectively, of producing a new high-tech widget. The difference P(x) = R(x) - C(x) represents the total profit for producing x widgets. Given R(x) = 60x- 0.4x and C(x) = 3x + 13, find P(100)