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Prices of Fast Food One group of customers bought
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Chapter 11 Solutions
Precalculus
- Parent Volunteer Laurie was completing the treasurer’s report for her son’s Boy Scout troop at the end of the school year. She didn’t remember how many boys had paid the $24 full-year registration fee and how many had paid a $16 partial-year fee. She knew that the number of boys who paid for a full-year was ten more than the number who paid for a partial-year. If $400 was collected for all the registrations, how many boys had paid the full-year fee and how many had paid the partial-year fee?arrow_forwardLaurie was completing the treasurer’s report for her son’s Boy Scout troop at the end of the school year. She didn’t remember how many boys had paid the $15 full-year registration fee and how many had paid the $10 partial-year fee. She knew that the number of boys who paid for a full-year was ten more than the number who paid for a partial-year. If $250 was collected for all the registrations, how many boys had paid the full-year fee and how many had paid the partial-year fee?arrow_forwardBroadway The ordered pairs below give the starting year and gross ticket sales S (in millions of dollars) for each Broadway season in New York City from 1997 through 2014. 1997,558 2003,771 2009,1020 1998,588 2004,769 2010,1081 1999,603 2005,862 2011,1139 2000,666 2006,939 2012,1139 2001,643 2007,938 2013,1269 2002,721 2008,943 2014,1365 (a) Use a graphing utility to create a scatter plot of the data. Let t=7 represent 1997. (b) Use the regression feature of the graphing utility to find the equation of the least squares regression line that fits the data. (c) Use the graphing utility to graph the scatter plot you created in part (a) and the model you found in part (b) in the same viewing window. How closely does the model represent the data? (d) Use the model to predict the gross ticket sales during the season starting in 2021. (e) Interpret the meaning of the slope of the linear model in the context of the problem.arrow_forward
- After attending a major league baseball game, the patrons often purchase souvenirs. If a family purchases 4 t-shirts, a cap and 1 stuffed animal their total is $135. A couple buys 2 t-shirts, a cap and 3 stuffed animals for their nieces and spends $115. Another couple buys 2 t-shirts, a cap and 1 stuffed animal and their total is $85. What is the cost of each item?arrow_forwardDiet Program Nicole started a new diet that requires each meal to have 460 calories, 6 g of fiber, and 11 g of fat. The table shows the fiber, fat, and Calorie content of one serving of each of three breakfast foods. How many servings of each food should Nicole eat to follow her diet!arrow_forwardDepartment store order The buyer for a large department store must order 40 coats, some fake fur and some leather. He is unsure of the expected sales. He can buy 25 fur coats and the rest leather for 9300, or 10 fur coats and the rest leather for 12,600. How much does he pay if he decides to split the order evenly?arrow_forward
- A chef must decide how many chocolate lava cakes to prepare for the upcoming Mother's Day Dinner special. The chef can either prepare 50, 100, or 150 lava cakes. Assume that demand for the lava cakes can be 50, 100, or 150. Each dish costs $5 to make and is priced at for $7 on the menu. Unsold cakes are donated to a nearby charity center. Assume that there is no opportunity cost for lost sales. The cafe owner told the chef that in the past years, the probability that clients will order 50 cakes is 0.30; the probability they will order 100 cakes is 0.50, and the probability that they will order 150 cakes is 0.20. What is the EVPI?arrow_forwardA chef must decide how many chocolate lava cakes to prepare for the upcoming Mother's Day Dinner special. The chef can either prepare 50, 100, or 150 lava cakes. Assume that demand for the lava cakes can be 50, 100, or 150. Each dish costs $5 to make and is priced at for $7 on the menu. Unsold cakes are donated to a nearby charity center. Assume that there is no opportunity cost for lost sales. The cafe owner told the chef that in the past years, the probability that clients will order 50 cakes is 0.30; the probability they will order 100 cakes is 0.50, and the probability that they will order 150 cakes is 0.20. What is the best alternative using the EMV criterion?arrow_forwardA campus student group is raising funds for charity by selling cups of boba tea. The expenses incurred by this student group are the cost of materials, estimated at $2 per cup (tea, boba, milk, sugar, cups, the big honking straws, napkins, etc.) and the $150 cost of renting the brewing and cooking space. The group will charge students $4 for each cup.a. Write down the associated cost, revenue, and profit functions. b. How many cups of boba must they sell to break even?c. What profit (or loss) results from the sale of 50 cups?arrow_forward
- 3.) A restaurant chef was ordering supplies. He ordered 4 pounds of beef at 9.25 per pound, 6 pounds of potatoes at $6.96 a pound and 5 pounds of carrots at $9.81 per pound. He estimates that this will make 28 meals. If he charges 48.32 per meal how much profit will he make?arrow_forwardMobile Provider A charges a $35 monthly fee plus $0.08 per minute for calls. Mobile Provider B charges a $25 monthly fee plus $0.14 per minute. What is an appropriate process to find when the two plans cost the same? Make two organized lists, one for the cost of Provider A and one for the cost of Provider B. Add values to the lists by multiplying $35.08 and $25.14 by the number of minutes used until the costs are the same. Make a table with two columns, one for Provider A and one for Provider B. For Provider A, start with a cost of $35 and multiply by $0.08 each time. For Provider B, start with a cost of $25 and multiply by $0.14 each time. Continue multiplying until the two columns are equal. Make a tree diagram with Provider A and Provider B as starting points, each with two branches. The base charges of $35 and $25 go at the ends of the branches for both. Then add 2 branches to the base charges. The per-minute costs go at the end of these branches. Add all the ends of the branches…arrow_forwardJames, Cierra, and Lamont went shopping together. One of them bought a shirt, another bought sunglasses, and another bought a belt. One paid $6, another paid $8, and another paid $10. James bought the shirt. Cierra spent $8. The belt did not cost $10. Lamont spent the most. Given this information, which of the following is true? James bought the shirt for $10 Cierra bought the belt for $8 Lamont bought the sunglasses for $8 Lamont bought the belt for $10 Lamont bought the shirt for $6arrow_forward
- College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage LearningCollege AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
- Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal LittellAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
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