A company assembles three different poker sets. Each Royal Flush poker set contains 1000 poker chips, 10 decks of cards, 4 dice, and 2 dealer buttons. Each Deluxe Diamond poker set contains 600 poker chips, 5 decks of cards, 2 dice, and one dealer button. The Full House poker set contains 300 poker chips, 5 decks of cards, 2 dice, and one dealer button. The company has 2,900,000 poker chips, 25,000 decks of cards, 10,000 dice, and 6500 dealer buttons in stock. They earn a profit of $38 for each Royal Flush poker set, $22 for each Deluxe Diamond poker set, and $12 for each Full House poker set. Use the simplex method to complete parts (a) and (b). (a) How many of each type of poker set should the company assemble to maximize profit? What is the maximum profit? Begin by finding the objective function. Let x1, x2, and x3 be the numbers of Royal Flush, Deluxe Diamond, and Full House poker sets, respectively. What is the objective function? z= 38 x, + 22 x2 + 12 x3 (Do not include the $ symbol in your answers.) To maximize profit, the company should assemble 500 Royal Flush poker sets, 4000 Deluxe Diamond poker sets, and 0 Full House poker sets. (Simplify your answers.) The maximum profit is $ 107000 . (b) Find the values of any nonzero slack variables and describe what they tell you about any unused components. Select the correct choice below and fill in the answer box(es) to complete your choice. (Simplify your answers.) O A. decks of cards and dice remain unused in the optimal solution. OB. dealer buttons remain unused in the optimal solution. Oc. dice remain unused in the optimal solution. O D. poker chips, dice, and dealer buttons remain unused in the optimal solution.
A company assembles three different poker sets. Each Royal Flush poker set contains 1000 poker chips, 10 decks of cards, 4 dice, and 2 dealer buttons. Each Deluxe Diamond poker set contains 600 poker chips, 5 decks of cards, 2 dice, and one dealer button. The Full House poker set contains 300 poker chips, 5 decks of cards, 2 dice, and one dealer button. The company has 2,900,000 poker chips, 25,000 decks of cards, 10,000 dice, and 6500 dealer buttons in stock. They earn a profit of $38 for each Royal Flush poker set, $22 for each Deluxe Diamond poker set, and $12 for each Full House poker set. Use the simplex method to complete parts (a) and (b). (a) How many of each type of poker set should the company assemble to maximize profit? What is the maximum profit? Begin by finding the objective function. Let x1, x2, and x3 be the numbers of Royal Flush, Deluxe Diamond, and Full House poker sets, respectively. What is the objective function? z= 38 x, + 22 x2 + 12 x3 (Do not include the $ symbol in your answers.) To maximize profit, the company should assemble 500 Royal Flush poker sets, 4000 Deluxe Diamond poker sets, and 0 Full House poker sets. (Simplify your answers.) The maximum profit is $ 107000 . (b) Find the values of any nonzero slack variables and describe what they tell you about any unused components. Select the correct choice below and fill in the answer box(es) to complete your choice. (Simplify your answers.) O A. decks of cards and dice remain unused in the optimal solution. OB. dealer buttons remain unused in the optimal solution. Oc. dice remain unused in the optimal solution. O D. poker chips, dice, and dealer buttons remain unused in the optimal solution.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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