Big Round Cheese Company has on hand 45 pounds of Cheddar and 49 pounds of Brie each day. It prepares two Christmas packages-the "Holiday"box, which has 5 pounds of Cheddar and 2 pounds of Brie, and the "Noel"box, which contains 2 pounds of Cheddar and 7 pounds of Brie. Profit on each Holiday assortment is $6, profit on each Noel assortment is $8.
(a) Give the optimal production schedule and the resulting maximum profit.
(b) How much excess Cheddar and excess Brie remain each day if this plan is followed?
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