Set up and go through the Simplex method to determine the maximum profit.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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4. Suppose a bakery makes only the finest cookies and cakes. The bakery has three main divisions that make up the total process of creating these fine confections: baking, frosting, packaging. The bakers go through the process of mixing the ingredients to putting the batter and dough into the ovens to bake. They have three full-time bakers that can work a combined total of up to 120 hours a week. Then these items get frosted by two expert pastry chefs who can work a combined total of up to 70 hours per week. The final stage of these finished products is the packaging and distributing of the items, which has a team of employees that can work a combined total of up to 100 hours per week. To make a batch of cookies, it takes a half hour to go from scratch to the baking stage, a quarter hour for frosting, and another half hour for packaging. Each batch of cookies produces a profit of $20. To make a single cake, it takes three quarters of an hour to go from scratch to being baked, a half hour for frosting, and a quarter of an hour for packaging. Each cake produces a profit of $25. Assume that all items created in the bakery are sold. How many batches of cookies and cakes should the bakery create to maximize their weekly profit?

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Transcribed Image Text:Sure! Here is the transcribed text: --- 4. Suppose a bakery makes only the finest cookies and cakes. The bakery has three main divisions that make up the total process of creating these fine confections: baking, frosting, packaging. The bakers go through the process of mixing the ingredients to putting the batter and dough into the ovens to bake. They have three full-time bakers that can work a combined total of up to 120 hours a week. Then these items get frosted by two expert pastry chefs who can work a combined total of up to 70 hours per week. The final stage of these finished products is the packaging and distributing of the items, which has a team of employees that can work a combined total of up to 100 hours per week. To make a batch of cookies, it takes a half hour to go from scratch to the baking stage, a quarter hour for frosting, and another half hour for packaging. Each batch of cookies produces a profit of $20. To make a single cake, it takes three quarters of an hour to go from scratch to being baked, a half hour for frosting, and a quarter of an hour for packaging. Each cake produces a profit of $25. Assume that all items created in the bakery are sold. How many batches of cookies and cakes should the bakery create to maximize their weekly profit? ---
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