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. Determine the number of boxes of each assortment that will maximize profits for Big Round Cheese Company yields the initial and final tableaux:?
?
style="vertical-align: -49.0px;" />(initial)(final)Here, x = the number of Holiday boxes per day and y = the number of Noel boxes per day.State and interpret the dual problem giving its solution.
What will be an ideal response?
Minimize 45u + 49v subject to 
Solution: u = 
, v = 
, M = $82
Interpretation: Big Round Cheese Company should expect a minimum profit of $82 per day. The company should get 
? $0.84 profit per pound of Cheddar and 
? $0.90 profit per pound of Brie.
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