Set up and go through the Simplex method to determine the maximumprofit. 4. Suppose a bakery makes only the finest cookies and cakes. The bakery has three maindivisions that make up the total process of creating these fine confections: baking,frosting, packaging. The bakers go through the process of mixing the ingredients toputting the batter and dough into the ovens to bake. They have three full time bakersthat can work a combined total of up to 120 hours a week. Then these items get frostedby 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 perweek. To make a batch of cookies, it takes a half hour to go from scratch to the bakingstage, a quarter hour for frosting, and another half hour for packaging. Each batch ofcookies produces a profit of $20. To make a single cake, it takes three quarters of anhour to go from scratch to being baked, a half hour for frosting, and a quarter of an hourfor packaging. Each cake produces a profit of $25. Assume that all items created in thebakery are sold. How many batches of cookies and cakes should the bakery create tomaximize their weekly profit?

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Answered: Set up and go through the Simplex…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter5: Network Models

Section5.5: Shortest Path Models

Problem 34P

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