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?

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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.