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
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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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How do you find the final simplex tableau?
Transcribed Image Text: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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