The main goal of the Cookies unit was to solve the Unit Problem. The unit problem introduced us to the Woos, the owners of a cookie bakery. The Woos want to find the most profitable combination of plain and iced cookies to bake and sell in their store. We were given several constraints for this problem. According to the Woo’s recipes, a dozen normal cookies requires one pound of cookie dough, and a dozen iced cookies requires .7 pounds of cookie dough. The Woo family only has 110 pounds of cookie dough in stock, which will affect the number of cookies that can be made. The iced cookies also need icing, obviously. A dozen of iced cookies required .4 pounds of icing and the Woos only have 32 pounds of icing in stock. There are also limitations for the oven space in the Woo’s kitchen. It can only hold 140 cookies at a time. The last limitation that the Woo family’s problem has is time. The preparation time of the plain cookies is .1 hours, and the preparation time of the iced cookies is .15 hours. The Woo family only has 15 hours to prepare the iced and plain cookies for the oven. All of these constraints decide the number of cookies that you can and cannot have. The second half of the problem was concerning the combination of normal cookies and iced cookies that would give the most profitable result. A dozen of plain cookies cost $4.50 to make and sell for $6.00 and a dozen of iced cookies cost $5.00 to make, and sell for 7.00. So, they make a profit of $1.50 per dozen of plain cookies and $2.00 per dozen of iced cookies. The Woo family knows that they can sell all the cookies they make. The point of this problem was to find the most profitable combination of iced and normal cookies.
In these problems, we had to identify variables, constraints, and make equations that expressed them. In most cases, the variables represent a value for a certain item, for example in the unit problem, the variable, p, could represent the number of dozens of...
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