In: Advanced Math
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?
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.