Sierra Rose has agreed to make four types of baked items for the Wells Skate Team (WST) fundraiser. Whatever she produces will be sold. The main resources required for all types of items are flour, sugar, eggs, and time. The following table shows how much of each resource is required per unit of a baked good.

There are 18.5 cups in a 5-pound bag of flour and 12 cups in a 5-pound bag of sugar. Sierra’s oven can only hold one cake, one pie, one loaf of bread, or one batch of cookies at any given time.

(a) Formulate a linear program that will tell Sierra Rose how many units of each type of baked good to produce so as to maximize revenue.

(b) Convert the problem in part (a) into minimization standard form, and solve using Matlab’s linprog function.
 

Transcribed Image Text:

Item Silver White Cake Custard Pie Sugar Cookies Batch Apple Bread Loaf Available Flour Sugar Baking (cups) (cups) Eggs Time (min) 2.5 2 1.3 1 2.5 1 9 0.25 20 lbs 2520 0 10 lbs 8 doz 45 50 16 35 10 hrs Unit Revenue $12 $10 $6 $8 Item Silver White Cake Custard Pie Sugar Cookies Batch Apple Bread Loaf Available Flour Sugar Baking (cups) (cups) Eggs Time (min) 2.5 2 1.3 1 2.5 1 9 0.25 20 lbs 2520 0 10 lbs 8 doz 45 50 16 35 10 hrs Unit Revenue $12 $10 $6 $8

Answer rating: 100% (QA)

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