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Revenue: Nintendo The annual net sales (revenue) earned by Nintendo in the fiscal years 2000–2014, can be approximated by
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Applied Calculus
- The figure shows the graphs of the cost and revenue functions for a company that manufactures and sells small radios. Use the information in the figure to solve Exercises 67–72. 35,000 30,000 C(x) = 10,000 + 30x 25,000 20,000 15,000 R(x) = 50x 10,000 5000 100 200 300 400 500 600 700 Radios Produced and Sold 67. How many radios must be produced and sold for the company to break even? 68. More than how many radios must be produced and sold for the company to have a profit? 69. Use the formulas shown in the voice balloons to find R(200) – C(200). Describe what this means for the company. 70. Use the formulas shown in the voice balloons to find R(300) – C(300). Describe what this means for the company. 71. a. Use the formulas shown in the voice balloons to write the company's profit function, P, from producing and selling x radios. b. Find the company's profit if 10,000 radios are produced and sold. 72. a. Use the formulas shown in the voice balloons to write the company's profit function,…arrow_forwardWorld Military Expenditure The following chart shows total military and arms trade expenditure from 2011–2020 (t = 1 represents 2011). †A bar graph titled "World military expenditure" has a horizontal t-axis labeled "Year since 2010" and a vertical axis labeled "$ (billions)". The bar graph has 10 bars. Each bar is associated with a label and an approximate value as listed below. 1: 1,800 billion dollars 2: 1,775 billion dollars 3: 1,750 billion dollars 4: 1,730 billion dollars 5: 1,760 billion dollars 6: 1,760 billion dollars 7: 1,850 billion dollars 8: 1,900 billion dollars 9: 1,950 billion dollars 10: 1,980 billion dollars (a) If you want to model the expenditure figures with a function of the form f(t) = at2 + bt + c, would you expect the coefficient a to be positive or negative? Why? HINT [See "Features of a Parabola" in this section.] We would expect the coefficient to be positive because the curve is concave up. We would expect the coefficient to be negative because the…arrow_forwardUse this information to solve Exercises 9–11:A company is planning to produce and sell a new line of computers. The fixed cost will be $360,000 and it will cost $850 to produce each computer. Each computer will be sold for $1150. 9. Write the cost function, C, of producing x computers. 10. Write the revenue function, R, from the sale of x computers. 11. Determine the break-even point. Describe what this means.arrow_forward
- U.S. Population The number of White non-Hispanicindividuals in the U.S. civilian non-institutional population 16 years and older was 153.1 million in 2000and is projected to be 169.4 million in 2050.(Source: U.S. Census Bureau)a. Find the average annual rate of change in population during the period 2000–2050, with the appropriate units.b. Use the slope from part (a) and the population in2000 to write the equation of the line associatedwith 2000 and 2050.c. What does this model project the population to bein 2020?arrow_forwardAccording to the U.S. Customs and Border Protection Agency, the average airport wait time at Chicago’sO’Hare International airport is 16 minutes for a traveler arrivingduring the hours 7–8 a.m., and 32 minutes for arrival during thehours 4–5 p.m. The wait time is defined as the total processingtime from arrival at the airport until the completion of a passenger’s security screening. Assume the wait time is exponentiallydistributed.a. What is the probability of waiting between 10 and 30 minutesfor a traveler arriving during the 7–8 a.m. hour?b. What is the probability of waiting more than 25 minutes for atraveler arriving during the 7–8 p.m. hour?arrow_forwardproblen 1.2arrow_forward
- For the years from 2002 and projected to 2024, the national health care expenditures H, in billions of dollars, can be modeled by H = 1,500e0.053t where t is the number of years past 2000.† In what year are national health care expenditures expected to reach $5.0 trillion (that is, $5,000 billion)?arrow_forwardIn Exercises 41–48, write a piecewise formula for the function.arrow_forwardFor the years from 2002 and projected to 2024, the national health care expenditures H, in billions of dollars, can be modeled by H = 1,500e0.053t where t is the number of years past 2000. In what year are national health care expenditures expected to reach $4.0 trillion (that is, $4,000 billion)? Need Help? Read It 9arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage