Linear Programming Name: 2. Cute Cakes Bakery offers a half-sheet cake and a full-sheet cake for parties. Betty Baker wants to maximize her profits. The Bakers can make a batch of half-sheet cakes in 5 hours of oven time and 4 hours of decorating time. They can also produce a batch of full-sheet cakes in 4 hours of oven time and 2 hours of decorating time. The oven is available for a maximum of 24 hours per day, while the decorating room is available up to 18 hours per day. The profit they make on each batch of half-sheet cakes is $25 and full- sheet cakes is $30. How many batches of each should their bakery produce? g. Define the variables. x=. and y= h. Write the constraints as inequalities and graph them (hint: find the x and y intercepts to graph them) i. List the vertices of the feasible region. If you can not accurately read them off of your graph, you will need to solve a system of equations to find each point. j. Give the profit equation

Linear Programming Name: 2. Cute Cakes Bakery offers a half-sheet cake and a full-sheet cake for parties. Betty Baker wants to maximize her profits. The Bakers can make a batch of half-sheet cakes in 5 hours of oven time and 4 hours of decorating time. They can also produce a batch of full-sheet cakes in 4 hours of oven time and 2 hours of decorating time. The oven is available for a maximum of 24 hours per day, while the decorating room is available up to 18 hours per day. The profit they make on each batch of half-sheet cakes is $25 and full- sheet cakes is $30. How many batches of each should their bakery produce? g. Define the variables. x=. and y= h. Write the constraints as inequalities and graph them (hint: find the x and y intercepts to graph them) i. List the vertices of the feasible region. If you can not accurately read them off of your graph, you will need to solve a system of equations to find each point. j. Give the profit equation

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter6: Linear Systems

Section6.CR: Chapter Review

Problem 70E: A company manufactures two fertilizers, x and y. Each 50-pound bag of fertilizer requires three...

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