Set up and go through the Simplex method to determine the maximum profit.
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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![Set up and go through the Simplex method to determine the maximum
profit.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F703a50ff-8f5d-40ba-8eea-f13205fb216a%2F2706765a-5e73-4a86-bd6d-85f3a55cae3f%2F2j1xz48_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Set up and go through the Simplex method to determine the maximum
profit.
![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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F703a50ff-8f5d-40ba-8eea-f13205fb216a%2F2706765a-5e73-4a86-bd6d-85f3a55cae3f%2Fwab622u_processed.jpeg&w=3840&q=75)
Transcribed Image 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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