D. Wilson Name: Exam #1 Review #1. The Journalism Department publishes a college newspaper. The department incurs fixed costs of $95 per edition, plus marginal printing and distribution costs of 50 cents per copy. The newspapers are sold for 85 cents each. a. Find the cost function, C(x). Include the units in your answer. b. Find the revenue function, R(x). Include the units in your answer. c. Use parts a and b to find the profit function, P(x). Include the units in your answer. d. How many newspapers will the department have to sell in order to break even? #2. Find the vertex, x-intercepts, and y-intercept f(x). Then sketch the parabola. Label the intercepts and vertex. f(x) = 3x 2 – 7x + 1#3. At a price of $25 each, an electronics company can sell 368 computer repair kits. If the price is lowered to $19, the company can sell 415 repair kits. a. Find the linear demand function, q, in terms of the price p. b. Find the revenue function, R(p). Include the units in your answer. c. Find the price that maximizes the revenue. Then find the maximum revenue. Round your answers to the nearest cent. #4. Find the equation of the line that passes through the point (3, 3) and is parallel to the line 5x – 3y = 1. #5. Sketch the piecewise graph. 2x – 3 for x ≤ − 3 f(x) = 4 for −3 < x < −1 x 2 – 1 for x ≥ −1#6. Sketch the lines. Sketch both parts c and d on the last set of axes. a. 23 x – y = 1 b. 2y – 35 x = 1 c. 4x – 1 = – 3 d. 2y + 5 = − 4 #7. An Excel graph and the equation of a regression line are shown below. Retail Inventoriesy = -0.09x + 2.3200.511.522.50 2 4 6 8 10 12Years since 2000Inventory (in $Billions)Series1Linear (Series1) a. What is the slope? b. Interpret the slope c. What is the y-intercept? d. Interpret the y-intercept.#8. Let f(x) = 5x 2 − x − 2 and g(x) = 16 – 7x 2. a. Find the product f(–2) g(0). b. Find g(f(x)). Do not simplify this. c. Find and simplify the quotient f(x + h) – f(x) h d. Find and simplify the quotient g(x + h) – g(x) h e. Find and simplify f(g(x)).#9. A company manufactures telephones for $14 each, plus a fixed monthly cost of $5000. The company sells the phones for $36 each. a. Write the monthly cost function in terms of x, the number of telephones. b. Write the profit function in terms of x. c. How many phones must be sold so that the company will break even? #10. (s. 1.4, #6) The Audubon Society at Enormous State University is planning its annual fund-raising “Eatathon.” The society will charge students 50¢ per serving of pasta. The only expenses the society will incur are the cost of the pasta, estimated at 15¢ per serving, and $350 cost of renting the facility for the evening. a. Write the associated cost, revenue, and profit functions. b. How many servings of pasta must the Audubon Society sell in order to break even? c. What profit (or loss) results from the sale of 1500 servings of pasta?#11. Suppose a company has fixed costs of $28,000 and variable costs of 52x + 222 dollars per unit, where x is the total number of units produced. Suppose further that the selling price of its product is 1250 - 53x dollars per unit. a. Find the break-even points. b. Find the maximum revenue. c. Find the profit function. d. What price will maximize the