Question

In: Advanced Math

A poker company assembles three different poker sets. Each Royal Flush poker set contains 1000 poker​...

A poker company assembles three different poker sets. Each Royal Flush poker set contains 1000 poker​ chips, 4 decks of​ cards, 10 ​dice, and 2 dealer buttons. Each Deluxe Diamond poker set contains 600 poker​ chips, 2 decks of​ cards, 5 ​dice, and one dealer button. The Full House poker set contains 300 poker​ chips, 2 decks of​ cards, 5 ​dice, and one dealer button. The company has 2 comma 900,000 poker​ chips, 10,000 decks of​ cards, 25,000 ​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 they assemble to maximize​ profit? What is the maximum​ profit?

Begin by finding the objective function. Let x 1x1 be the number of Royal Flush poker​ sets, let x 2x2 be the number of Deluxe Diamond poker​ sets, and let x 3x3 be the number of Full House poker sets. What is the objective​ function?

Solutions

Expert Solution

Thus the company makes 500 Royal Flush poker​ sets, 4000 Deluxe Diamond poker​ sets, and 0 Full House poker sets. The maximum profit is $ 107000.


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