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 2,800,000 poker​ chips, 10,000 decks of​ cards, 25,000 ​dice, and 7,000 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.