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EXERCISES
Reminder Round all answers to two decimal places unless otherwise indicated.
Fixed and Variable Costs The fixed cost for a manufacturing company are the costs, such as rent or repayment of a startup loan, that the company must pay each month no matter how many items are produced. The variable cast is the cost of producing a single item. Assume that when a company produces
Identify the fixed costs and the variable cost in this equation.
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Chapter 5 Solutions
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
- Flood Control A river is 8 feet above its flood stage. The water is receding at a rate of 3 inches per hour. Write a mathematical model that shows the number of feet above flood stage after t hours. Assuming the water continually recedes at this rate, when will the river be 1 foot above its flood stage?arrow_forwardGrade Point Average In many universities students are given grade points for each credit unit according to the following scale: A 4 points B 3 points C 2 points D 1 point F 0 point For example, a grade of A in a 3-unit course earns 43=12 grade points and a grade of B in a 5-unit course earns 35=15 grade points. A students grade point average GPA for these two courses is the total number of grade points earned divided by the number of units; in this case the GPA is (12+15)8=3.375. a Find a formula for the GPA of a student who earns a grade of A in a units of course work, B in b units, C in c units, D in d units and F in f units. b Find the GPA of a student who has earned a grade of A in two 3-unit courses, B in one 4-unit courses and C in three 3-unit courses.arrow_forwardoarrow_forward
- Can you help with parts a, b and c please? The Admission director for a college far from mart and town believes that an inverse relationship exists between a private college's average discount rate(determined by the average amount of scholarships students receive) and the annual yield (the percentage of admitted students who actually attend). The Director's independent variable is a private college's discount rate measured as a percentage, and the dependent variable is the college's annual yield measured as a percentage. The following results were obtained for a sample of 30 private colleges: x- Discount rate(percentage) - range: 35 to 72 percent y- Annual Yield(percentage) - range: 12 o 81 percentΣxi = 1612 Σyi = 898Σxiyi = 44,377Σxi2 = 89,790Σyi2 = 35,704 a. Calculate the sample regression line's slope estimate. Interpret the sample regression line's slope estimate.b. Calculate the sample regression line's intercept estimate. Interpret the sample regression line's intercept estimate.…arrow_forwarde to the horizon from a height h, in feet, uf V with respect to h. ce to the horizon from an airplane window from the height of can one see a ship from the top of a 325 ft. light house? A company has a fixed cost of $30,000 and a production cost of $6 for each unit it manufacturers. A unit sells for $10. A. What is the cost function? B. What is the revenue function? C. What is the profit function? D. Compute the profit (loss) corresponding to production levels for the following units of production: a. 6,000 b. 8,000 c. 12,000 14.) For the problem above, determine the "break-even" point in production. What is an appropriate "viewing window" to understand the graph of this problem? *Extra credit if you can explain your rationale for choosing this viewing window - "because it works" does not count as an answer! 157 Epidemiologists in College Station, Texas estimate that t days after the flu begins to the flu is approximated by:arrow_forwardPlz help . Thanksarrow_forward
- BW.1arrow_forward=2 3 4 5 6 7 8 9 10 11 12 A certain medicine is given in an amount proportional to a patient's body weight. Suppose a patient weighing 104 pounds requires 156 milligrams of medicine. What is the weight of a patient who requires 207 milligrams of medicine? pounds S Continue hp 144 Submit Assig inarrow_forwardand R costarrow_forward
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