Concept explainers
Player
(A) Set up the payoff matrix for the game.
(B) Solve the game using the simplex method discussed in this section. (Remove any recessive rows and columns, if present, before you start the simplex method.)
Want to see the full answer?
Check out a sample textbook solutionChapter 11 Solutions
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences
Additional Math Textbook Solutions
Calculus Volume 1
Calculus Volume 2
Thinking Mathematically (7th Edition)
Using & Understanding Mathematics: A Quantitative Reasoning Approach (7th Edition)
Mathematics for Elementary Teachers with Activities (5th Edition)
Excursions in Modern Mathematics (9th Edition)
- In a bag, a child has 325 coins worth $19.50. There were three types of coins: pennies, nickels, and dimes. If the bag contained the same number of nickels as dimes, how many of each type of coin was in the bag?arrow_forwardKenneth currently sells suits for company A at a salary of $22,000 plus a $10 commission for each suit sold. Company B offers him a position with a salary of $28,000 plus a $4 commission for each suit sold. How many suits would Kenneth need to sell for the options to be equal?arrow_forwardMiguel is playing a game in which a box contains four chips with numbers written on them. Two of the chips have the number 1, one chip has the number 3, and the other chip has the number 5. Miguel must choose two chips, and if both chips have the same number, he wins $2. If the two chips he chooses have different numbers, he loses $1 (–$1). Let X = the amount of money Miguel will receive or owe. Fill out the missing values in the table. (Hint: The total possible outcomes are six because there are four chips and you are choosing two of them.) Xi 2 –1 P(xi) What is Miguel’s expected value from playing the game? Based on the expected value in the previous step, how much money should Miguel expect to win or lose each time he plays? What value should be assigned to choosing two chips with the number 1 to make the game fair? Explain your answer using a complete sentence and/or an equation. A game at the…arrow_forward
- A roulette wheel has 30 slots, consisting of 2 blues, 8 whites, and 20 red slots. You will receive P100 if the roulette stops spinning on a blue slot, you will receive P50 on a white slot, but you will be penalized P10 if the roulette stops spinning on a red slot. Let X be the amount you will recieve (or pay). What are the possible values of X? x= 2, 8, 20 x= 100, 50, -10 x= 100, 50, 10 x= 30, 2,8, 20arrow_forwardAssume that the pond contains 90 fish: 68 blue, 21 orange, and 1 white. A contestant pays $0.65 to randomly catch one fish and receives $0.20 if the fish is blue, $0.95 if the fish is orange, and $10.00 if the fish is white. How much (on average) does the carnival gain on each play? (If the carnival loses money, enter a negative dollar amount)arrow_forwardA toll collector on a highway receives $8 for cars and $9 for buses. At the end of a 4-hour period, she collected $376. How many cars and buses passed through the toll booth during that period? List all possible solutions. Which of the choices below are possible solutions to the problem? Select all that apply. O A. 38 cars and 8 buses O B. 23 cars and 21 buses O C. 47 cars and 0 buses O D. 41 cars and 5 buses O E. 2 cars and 40 buses O F. 11 cars and 32 buses O G. O cars and 42 buses O H. 20 cars and 24 buses O I. 5 cars and 37 buses O J. 29 čars and 16 busesarrow_forward
- A toll collector on a highway receives $8 for cars and $9 for buses. At the end of a 4-hour period, she collected $368. How many cars and buses passed through the toll booth during that period? List all possible solutions. Which of the choices below are possible solutions to the problem? Select all that apply. O A. O cars and 41 buses O B. 37 cars and 8 buses O C. 46 cars and 0 buses O D. 10 cars and 32 buses O E. 4 cars and 37 buses F. 1 car and 40 buses O G. 19 cars and 24 buses O H. 40 cars and 5 buses 28 cars and 16 buses O J. 22 cars and 21 busesarrow_forwardA toll collector on a highway receives $8 for trucks and $7 for cars. At the end of a 3-hour period, she collected $296. How many trucks and cars passed through the toll booth during that period? List all possible solutions. Which of the choices below are possible solutions to the problem? Select all that apply. A. 33 trucks and 5 cars C. 19 trucks and 21 cars E. 9 trucks and 32 cars G. 37 trucks and 0 cars 23 trucks and 16 cars B. 30 trucks and 8 cars D. 5 trucks and 37 cars F. 2 trucks and 40 cars H. 0 trucks and 42 cars J. 16 trucks and 24 carsarrow_forwardAssume that the pond contains 90 fish: 76 orange, 13 blue, and 1 green. A contestant pays $0.55 to randomly catch one fish and receives $0.20 if the fish is orange, $1.20 if the fish is blue, and $12.00 if the fish is green. How much (on average) does the carnival gain on each play? (If the carnival loses money, enter a negative dollar amount)arrow_forward
- In this game, two chips are placed in a cup. One chip has two red sides and one chip has a red and a blue side. The player shakes the cup and dumps out the chips. The player wins if both chips land red side up and loses if one chip lands red side up and one chip lands blue side up. The cost to play is $4 and the prize is worth $6. Is this a fair game. = Win a prize = Do not win a prize 1. Start by determining the probabilities for winning a prize and not winning a prize. Draw a probability tree to find the possible outcomes and the probabilities. After you draw the tree, check you work by clicking on the link below. Click to hide hint CHIP 1 CHIP 2 Probability P(Red) & P(Red) = P(R) - P(R) = 0.5. 0.5 = 0.25 0.5 0.5 0.5 P(Red) & P(Blue) = P(R) - P(B) = 0.5.0.5 = 0.25 Start 0.5 0.5 P(Red) & P(Red) = P(R) - P(R) = 0.5. 0.5 = 0.25 0.5 P(Red) & P(Blue) = P(R) - P(B) = 0.5.0.5 = 0.25arrow_forwardAssume that the pond contains 100 fish: 82 blue, 17 orange, and 1 red. A contestant pays $0.65 to randomly catch one fish and receives $0.25 if the fish is blue, $0.90 if the fish is orange, and $14.00 if the fish is red. How much (on average) does the carnival gain on each play? (If the carnival looses money, enter a negative dollar amount)arrow_forwardMr. Akika has 51 20-cent and 31-cent stamps all told. The stamps are worth $13.61. How many of each kind of stamp does he have? Mr. Akika has 20-cent stamps and 31-cent stamps.arrow_forward
- Elementary AlgebraAlgebraISBN:9780998625713Author:Lynn Marecek, MaryAnne Anthony-SmithPublisher:OpenStax - Rice UniversityAlgebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell
- Mathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,