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 and one dealer button. The Full House poker set contains 300 poker chips. 5 decks of cards. 2 dice, and one can button. The company has 2,900,000 poker chips, 25.000 decks of cards, 10.000 dice, and 7000 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 um 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? ZE (Do not include the $ symbol in your answers.) Royal Flush poker sets, Deluxe To maximize profit, the company should assemble Diamond poker sets, and Full House poker sets. (Simplify your answers.) The maximum profit is $ (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.) . dice remain unused in the optimal solution. OB. poker chips, dice, and dealer buttons remain unused in the optimal solution. . dealer buttons remain unused in the optimal solution. OD decks of cards and dice remain unused in the optimal solution