Question

Dana runs a bakery that sells two kinds of cookies. Dana knows the bakery must make at least 15 and at most 56 dozens of the White Chocolate Blizzards. The bakery must also make between 80 and 144 dozens of the Nutty Squirrels. The dozens of White Chocolate Blizzards take 16 ounces of flour, while dozens of Nutty Squirrels require 7 ounces of flour. The bakery only has 1568 ounces of flour available. If dozens of White Chocolate Blizzards generate $1.58 in profit, and dozens of Nutty Squirrels generate $1.28, how many dozens of the cookies should Dana have the bakery make to get the most profit?

White Chocolate Blizzards:  
Nutty Squirrels:  
Best profit:

Answer 1

Let the number of White Chocolate Blizzards be x

Let the number of Nutty Squirrels be y

Maximize Profit, Z = 1.58x + 1.28y

Constraints:

16x + 7y <= 1568 [constraint on floor]

15<=x<=56 [must make least 15 and maximum of 56 dozens]

80<=y<=144 [must make least 80 and maximum of 144]

Solving this to obtain the optimal solution

White Chocolate Blizzards: 35
Nutty Squirrels: 144

Best Profit = 1.58 * 35 + 1.28 * 144 = $239.62

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