A poker company assembles three different poker sets. Each royal flush poker set contains 1000 poker chips, 10 decks of cards, 4 dice, and two 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, 25000 decks of cards, and 10000 dice, and 6000 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. Complete parts A and B below: a) how many of each type of Poker set should assemble to maximize profit? What is the maximum profit? Begin by finding an objective function. Let x1 be the number of royal flush poker sets, let x2 be the number of deluxe diamond poker sets, and let x3 be the number of full house poker sets. what is the objective function? z=__x1+ ___x2+ ___x3

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
Section: Chapter Questions
Problem 89P
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A poker company assembles three different poker sets. Each royal flush poker set contains 1000 poker chips, 10 decks of cards, 4 dice, and two 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, 25000 decks of cards, and 10000 dice, and 6000 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.

Complete parts A and B below:

a) how many of each type of Poker set should assemble to maximize profit? What is the maximum profit?

Begin by finding an objective function. Let x1 be the number of royal flush poker sets, let x2 be the number of deluxe diamond poker sets, and let x3 be the number of full house poker sets.

what is the objective function? z=__x1+ ___x2+ ___x3

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