Liz is working to raise money for breast cancer research. She discovered that each church group requires 2 hours of letter writing and 1 hour of follow-up, while each neighborhood group needs 2 hours of letter writing and 3 hours of follow-up. Liz can raise $125 from each church group and $175 from each neighborhood group, and she has a maximum of 12 hours of letter-writing time and a maximum of 14 hours of follow-up time available per month. Use the simplex method to complete parts (a) and (b). (a) Determine the most profitable mixture of groups Liz should contact and the most money she can raise in a month. Set up the linear programming problem. Let x1 and x2 represent the numbers of church groups and neighborhood groups, respectively, and let z be the total amount of money raised z= 125x, + 175x2 Maximize 2x1 +2x2 subject to 12 X1 +3x2 S 14 X1 20, X2 20 (Do not factor Do not include the $ symbol in your answwers neighborhood group(s) church group(s) and in a month. To raise that amount, she should contact Liz can raise at most 3 (Type whole numbers

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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.