SOLUTION: Jesse runs a restaurant that sells two kinds of desserts. Jesse knows the restaurant must make at least 65 and at most 78 boxes of the Caramel Twists. The restaurant must also make

Question 1184211: Jesse runs a restaurant that sells two kinds of desserts. Jesse knows the restaurant must make at least 65 and at most 78 boxes of the Caramel Twists. The restaurant must also make between 5 and 91 boxes of the Mint Breezes. The boxes of Caramel Twists take 13 ounces of flour, while boxes of Mint Breezes require 6 ounces of flour. The restaurant only has 1404 ounces of flour available. If boxes of Caramel Twists generate $2.55 in profit, and boxes of Mint Breezes generate $2.23, how many boxes of the desserts should Jesse have the restaurant make to get the most profit?
Caramel Twists:
Mint Breezes:
Best profit:

Answer by 54929(12) (Show Source): You can put this solution on YOUR website!
Let the number of the
Caramel Twists is x, the number
of the Mint Breezes is y.
{ 65 ≤ x ≤ 78
5 ≤ y ≤ 81
13x + 6y ≤ 1404
Let 13x + 6y = 1404
when x =78 , y =65
when y = 81, x = 66
Let the profit is 2
2 = 2.55x + 2.23y
2 max = 2.55 * 66 + 2.23 * 81
= 371.23
therefore, Caramel Twists : 66
Mint Breezes = 91.
Best profit = $371.23

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