A poker company assembles three different poker sets. Each RoyalFlush poker set contains 1000 poker? chips, 4 decks of? cards, 10?dice, and 2 dealer buttons. Each Deluxe Diamond poker set contains600 poker? chips, 2 decks of? cards, 5 ?dice, and one dealerbutton. The Full House poker set contains 300 poker? chips, 2 decksof? cards, 5 ?dice, and one dealer button. The company has 2 comma900,000 poker? chips, 10,000 decks of? cards, 25,000 ?dice, and6000 dealer buttons in stock. They earn a profit of ?$38 for eachRoyal 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 tomaximize? profit? What is the maximum? profit?
Begin by finding the objective function. Let x 1x1 be the numberof Royal Flush poker? sets, let x 2x2 be the number of DeluxeDiamond poker? sets, and let x 3x3 be the number of Full Housepoker sets. What is the objective? function?