Concept explainers
Revenue Shakespeare’s Pizza sells
a pizza. When the owner offers a
a. Assume a linear relation between the weekly sales
b. Find the value of
[Hint:
c. Answer p
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- Production Manufacturing DVRs and TVs requires the use of the electronics, assembly, and finishing departments of a factory, according to the following schedule: Hours for DVR Hours for TV Hours Available per Week Electronics 3 4 180 Assembly 2 3 120 Finishing 2 1 60 Each DVR has a profit of 40, and each TV has profit of 32. How many DVRs and TVs should be manufactured weekly to maximize profit? Find the maximum profit.arrow_forwardTuition at American Public Universities This is a continuation of Exercise 6. The following table shows the average yearly in-state tuition and required fees, in dollars, charged by four-year American public universities in the school year ending in the given year. Date Average tuition 2012 8318 2013 8595 2014 8872 2015 9149 2016 9426 a. Show that these data can be modeled by a linear function, and find its formula. b. What is the slope for the linear function modeling tuition and required fees for public universities? c. What is the slope of the linear function modeling tuition and required fees for private universities? Note: See Exercise 6. d. Explain what the information in parts b and c tells you about the rate of increase in tuition in public versus private institutions. e. Which type of institution shows the larger percentage increase from 2015 to 2016? 6. Tuition at American Private Universities The following table shows the average yearly tuition and required fees, in dollars, charged by four-year American private nonprofit universities in the school year ending in the given year. Date Average tuition 2012 27, 870 2013 29, 004 2014 30, 138 2015 31, 272 2016 32, 406 a. Show that these data can be modeled by a linear function, and find its formula. b. Plot the data points and add the graph of the linear formula you found in part a. c. What prediction does this formula give for average tuition and fees at four-year American private nonprofit universities for the academic year ending in 2021?arrow_forwardSoftware Publishing The table shows the estimate revenues in billions of dollars of software publishers in the United States from 2011 through 2013.Source: U.S. Census Bureau Year Revenues, y 2011 156.8 2012 161.7 2013 177.2 a Create a system of linear equations for the data to fit the curve y=at2+bt+c Where t = 1 corresponds to 2011, and y is the revenue. b Use Cramers Rule to solve the system. c Use a graphing utility to plot the data and graph the polynomial function in the same viewing window. d Briefly describe how well the polynomial function fits the data.arrow_forward
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