The Transit Authority (TA)in a metropolitan area operates a subway line that currently carries an average of 6000 passengers per day commuting between the suburbs and downtown. The fare now is $3.00 per ride and the board of the TA is considering raising its price by $0.50 to generate a larger revenue. A study reveals that for each $0.50 increase in fare, the ridership will be reduced by an average of 1000 passengers per day. Using this study, the board determines that, to get maximum profit, the price of the ticket should remain at $3.00. Is this correct? Explain why or why not.

Netflix made headlines in September 2011 when it split its streaming video service and its DVD by-mail service into two companies. This decision was based on projections that streaming videos will replace DVDs in the future. In this problem, you will explore these projections. Numbers below are close to the correct values, but vary to allow more practice with this idea.  Total DVD and Blu-ray disc sales in 2009 were $8.72 billion. For the purposes of this problem, you will combine DVD and Blue-ray disk sales into one category of DVD sales. A study by In-Stat predicted that "physical disc sales will decline by $4.7 billion by 2014," and that "streaming, on the other hand, should grow from its current $2.1 billion to $6.3 billion over the same time period (2009–2014)."12 What is the slope, including units, of the model for DVD sales?         Write a statement interpreting the meaning of the slope in the context of the problem.

A tutoring service provides tutoring for a fee. When the tutoring service charges $11​/hour, there is a demand for 28 tutors per week. When the hourly rate rises to ​$17​/hour, the demand drops to 16 tutors per week. On the other​ hand, at $11​/hour, the service is able to support only 28 tutors per​ week, whereas at the rate of ​$17​/hour, it is able to provide 58 tutors per week. Find the price per hour at which the number of tutors demanded and the number of tutors supplied will be equal.

Transformers for underground works were planned to be provided. Type A has an initial cost of $70,000 and a life of 8 years. Type B has an initial cost of $95,000 and a life expectancy of 12 years. The annual operating cost for type A is expected to be $9000, while the AOC for type B is expected to be $7000. Salvage values are $5000 for type A, and $10,000 for type B. Using the incremental cash flow analysis, choose the better alternative.

Espresso Express operates a number of espresso coffee stands in busy suburban malls. The fixed weekly expense of a coffee stand is $1,400 and the variable cost per cup of coffee served is $0.61.   Required: 1. Fill in the following table with your estimates of the company's total cost and average cost per cup of coffee at the indicated levels of activity. 2. Does the average cost per cup of coffee served increase, decrease, or remain the same as the number of cups of coffee served in a week increases?

On February 23, 2011 Matthew Wald blogged in The New York Times that, “a car buyer who lays out an extra $6,200 to buy the hybrid version of the Lexus RX will get the money back in gas savings within five years, according to Consumer Reports magazine, but only if gasoline averages $8.77 a gallon. Otherwise, the nonhybrid RX 350 is a better buy than the Hybrid 450h, the magazine says.”Wald notices that the study assumes:▪ The car will be driven 12,000 miles a year.▪ Gas will cost $2.80 a gallon.▪ The hybrid gets 26 miles per gallon while the nonhybrid gets 21.(a) Show that the computation is wrong—that at $8.77 per gallon of gas you can’t save $6,200 in 60,000 miles of driving.(b) Show that you can save that much with that much driving if gas costs $8.77 per gallon more than $2.80 per gallon.

Consider the following scenario and select the best answer: A company is trying to determine how to allocate its $145.000 advertising budget for a new product. The company is considering newspaper ads and television commercials as its primary means for advertising. The following table summarizes the costs of advertising in these different media and the number of new customers reached by increasing amounts of advertising. Media & No. of Ads No. of New Customers Cost per Ad Reached Newspaper: 1-10 900 $1,000 Newspaper: 11-20 700 $900 Newspaper: 21-30 400 $800 Television: 1-5 10,000 $12,000 Television: 6–10 7,500 $10,000 Television: 11-15 5.000 $8,000 For instance, each of the first 10 ads the company places in newspapers will cost $1,000 and is expected to reach 900 new customers. Each of the next 10 newspaper ads will cost $900 and is expected to reach 700 new customers. Note that the number of new customers reached by increasing amounts of advertising decreases as the advertising…

Netflix made headlines in September 2011 when it split its streaming video service and its DVD by-mail service into two companies. This decision was based on projections that streaming videos will replace DVDs in the future. In this problem, you will explore these projections. Numbers below are close to the correct values, but vary to allow more practice with this idea.  Total DVD and Blu-ray disc sales in 2009 were $8.72 billion. For the purposes of this problem, you will combine DVD and Blue-ray disk sales into one category of DVD sales. A study by In-Stat predicted that "physical disc sales will decline by $4.7 billion by 2014," and that "streaming, on the other hand, should grow from its current $2.1 billion to $6.3 billion over the same time period (2009–2014)." What is the slope, including units, of the model for streaming videos?

An entrepreneur who owns and operates two businesses (A and B) would like to analyze their profitability. They would like your help in the analysis. They give you the annual net profit (in thousands of $) for each business from 2008-2020. Table 1: Annual Net Profits for Businesses A and B Business Year Profit Business Year Profit 2008 -50 2008 -10 2009 57 2009 30 2010 71 2010 27 2011 64 2011 22 2012 60 2012 21 2013 50 2013 20 A 2014 41 2014 24 2015 59 2015 24 2016 71 2016 32 2017 71 2017 36 2018 74 2018 37 019 81 20 40 2020 97 2020 49 a. Suppose you want to graph the distribution of profits. Explain why using only one stem- plot might not be optimal for the analysis. b. Describe the correct stemplot to use. Generate this stemplot. Explain your steps. What can you say about the distribution from this stemplot? c. When are stemplots useful? And why is that? d. Suppose that instead of having 26 observations you have 200 observations. What graph should you generate? e. What other type of…

The new city water company that you have researched charges homeowners based on how much water they use in thousands of gallons. The company progressively charges at a higher rate the more water that is used. Cost of Water Bill (dollars) 240 230 220 210 190 180 170 160 110 Water Usage (in thousands of gallons) 11. Based on the graph above, how much does the city charge when a homeowner uses the following number of gallons of water: a) 1700 gallons of water b) 2000 gallons of water c) 7000 gallons of water 12. Finish filling in the following piece-wise equation below that describes the chart based on the graph 50 if 0 < x <2 5x+50 y = if 6≤x≤8 30x 140