Abby and Bing Woo own a bakery that makes Plain Cookies and Iced Cookies. They need to decide to how many dozens of each kind of cookie to make for the following day. The Woos know that each dozen of plain cookies requires 1 pound of cookie dough (with no icing). Each dozen of iced cookies require 0.7 pounds of cookie dough and 0.4 pounds of icing. They are also aware that each dozen of plain cookies takes 0.1 hours of preparation time. Each dozen of iced cookies requires 0.15 hours of preparation time. Finally, they know that no matter how many cookies they make they will sell all of them. They sell the plain cookies for $6.00 a dozen with the knowledge that it cost $4.50 a dozen to make. They sell the iced cookies for $7.00 a dozen knowing that it cost $5.00 a dozen to make. To do this Abby and Bing need to consider the following constraints in the bakery:
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- Ingredients available: They only have 110 pounds of cookie dough and 32 pounds of icing.
- Oven Space available: They have room to bake a total of 140 dozen cookies.
- Preparation Time: Together they have 15 hours for cookie preparation.
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