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) 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. i. j. Give the profit equation k. Test each vertex in the profit equation. 1. Write a statement to Cute Cakes Bakery about how many of each item should be made in order to maximize the profit?

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) 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. i. j. Give the profit equation k. Test each vertex in the profit equation. 1. Write a statement to Cute Cakes Bakery about how many of each item should be made in order to maximize the profit?

Name: Please solve last three sub-parts Linear ProgrammingName:2. Cute Cakes
Uploaded: 2024-03-20T06:46:03.000Z
Channel: Bartleby
Description: Please solve last three sub-parts Linear ProgrammingName:2. Cute Cakes Bakery offers a half-sheet cake and a full-sheet cake for parties. Betty Baker wants to maximize her profits. TheBakers can make a batch of half-sheet cakes in 5 hours of oven tim

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter6: Systems Of Linear Equations And Inequalities

Section6.6: Systems Of Inequalities

Problem 44PFA

See similar textbooks

Related questions

Q: Solve x^2 +6x ≤ -5. Show your work

A: Solution of equations

Q: A two digit number is four times the sum and three times the oorduct of it's digit .Find the number

Q: Bob is 2 years from being twice as old as Ellen. The sum of twice Bob’s ageand three times Ellen’s…

Q: Solve (y+9)^4/3=4 where y is a real number. Simplify your answer as much as possible. (If there is…

Q: Differentiate - 3x 1 X+- X,

Q: Find the real soulutions of the following equation x^(4)+12x^(3)+10x^(2)-9x+22=0 The solution set…

Q: 1. finol Solution of the differential equatiou

Q: I need 5 equations, not only one. How can i calculate other equations

A: Let the age of youngest child is x years. Youngest child 7 years older than the oldest. Who is 18.

Q: Find the solution set for 26 ^ (10x + 14) + 17 = 104

A: Consider the given equation and solve it to find x. Given,…

Q: Solve 15(−1t+2)^2+13(−1t+2)+2=0

Q: Solve the following equation completely x^5+13x^4+62x^3+134x^2+129x+45=0

A: To find- Solve x5 + 13x4 + 62x3 + 134x2 + 129x + 45 = 0

Q: Solve for x

Q: Two cyclists start biking from a trail’s start 3 hours apart. The second cyclist travels at 10 miles…

A: Let it will take x hours The first cyclist started 3 hours earlier. So, he is going on for (x+3)…

Q: 4 X x^ = 64

Concept explainers

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.

Topic Video

Question

Please solve last three sub-parts

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
k. Test each vertex in the profit equation.
1.
Write a statement to Cute Cakes Bakery
about how many of each item should be
made in order to maximize the profit?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Algebraic Operations$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Similar questions

At the Pizza Dude restaurant, a 12-in. pizza costs 5.40 to make, and the manager wants to make at least 4.80 from the sale of each pizza. If the pizza will be sold by the slice and each pizza is cut into 6 pieces, what is the minimum charge per slice?
In your own words, explain the advantages and disadvantages of solving a system of equations by graphing.
Can a linear system of three equations have exactly two solutions? Explain why or why not
If you are performing a break-even analysis for a business and their cost and revenue equations are dependent, explain what this means for the company's profit margins.
When Gloria spent 15 minutes on the elliptical trainer and then did circuit training for 30 minutes, her fitness app says she burned 435 calories. When she spent 30 minutes on the elliptical trainer and 40 minutes circuit training she burned 690 calories. Solve the system {15e+30c=43530e+40c=690 for e, the number of calories she burns for each minute on the elliptical trainer, and c, the number of calories she burns for each minute of circuit training.
Three coworkers work for the same employer. Their jobs are warehouse manager, office manager, and truck driver. The sum of the annual salaries of the warehouse manager and office manager is $82,000. The office manager makes $4,000 more than the truck driver annually. The annual salaries of the warehouse manager and the truck driver total $78,000. What is the annual salary of each of the co-workers?