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Write the partial fraction decomposition for the rational function. Verify your result by using a graphing utility to create a table comparing the original function with the partial fractions.
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College Algebra Real Mathematics Real People Edition 7
- The total revenue function for a product is given by R = 540x dollars, and the total cost function for this same product is given by C = 13,500+ 60x + x², where C is measured in dollars. For both functions, the input x is the number of units produced and sold. a. Form the profit function for this product from the two given functions. b. What is the profit when 24 units are produced and sold? c. What is the profit when 38 units are produced and sold? d. How many units must be sold to break even on this product? (・・・))) a. Write the profit function. P(x) = (Simplify your answer.) b. When 24 units are produced and sold, there is a of $. (Simplify your answer.) c. When 38 units are produced and sold, there is of $. a (Simplify your answer.) d. The number of units that must be sold to break even on this product is. (Simplify your answer. Use a comma to separate answers as needed.)arrow_forwardDo the followingarrow_forwardA linear function y = f(x) has an x-intercept of -9 and a y-intercept of 2. The function undergoes the transformation y = f(x+h), h +0. Compared to the function y = f (x), the transformation of y = f (x +h) will have _ i to the x-intercept and ii _to the y-intercept. 9. The statement above is best completed by the answers in row: Row i ii a change a change no change no change no change a change a change no changearrow_forward
- The total revenue function for a product is given by R = 330x dollars, and the total cost function for this same product is given by C = 3000 + 20x + x², where C is measured in dollars. For both functions, the input x is the number of units produced and sold. a. Form the profit function for this product from the two given functions. b. What is the profit when 8 units are produced and sold? c. What is the profit when 18 units are produced and sold? d. How many units must be sold to break even on this product? a. Write the profit function. P(x) = (Simplify your answer.) b. When 8 units are produced and sold, there is a of $. (Simplify your answer.) c. When 18 units are produced and sold, there is a of $. (Simplify your answer.) d. The number of units that must be sold to break even on this product is. (Simplify your answer. Use a comma to separate answers as needed.)arrow_forwardSuppose the demand for Colin's kidney pies is linear in the price P. Further, assume that he can sell 100 pies when the price is $5.00 and 65 pies when the price is $10.00. (a) Determine the demand N (number of pies sold) as a function of the price P (in dollars). (Express numbers in exact form. Use symbolic notation and fractions where needed.) N(P) = (b) What is the slope of the graph of N(P)? (Give an exact answer. Use symbolic notation and fractions where needed.) slope: pies/dollararrow_forwardSee images. Thank you so much!arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL