Liz can raise at most $ 1100 in a month. To raise thát amount, sne should contact 6 church group(s) and 2 neighbornood groupP(S). (Type whole numbers.) (b) Explain what the values of the slack variables in the optimal solution mean in the context of the problem. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
Liz can raise at most $ 1100 in a month. To raise thát amount, sne should contact 6 church group(s) and 2 neighbornood groupP(S). (Type whole numbers.) (b) Explain what the values of the slack variables in the optimal solution mean in the context of the problem. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
Chapter7: Systems Of Equations And Inequalities
Section7.2: Systems Of Linear Equations: Three Variables
Problem 61SE: Last year, at Haven's Pond Car Dealership, for a particular model of BMW, Jeep, and Toyota, one...
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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 $100 from each church group and $250 from each neighborhood group,
and she has a maximum of 16 hours of letter-writing time and a maximum of 12 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 x, and x, represent the numbers of church groups and neighborhood groups, respectively, and let z be the total amount
of money raised.
Maximize
z= 100x1 +250x2
subject to
2x1 + 2x2 s
16
X1 + 3x2 s
12
X1 20, х2 20.
(Do not factor. Do not include the $ symbol in your answers.)
Liz can raise at most $ 1100 in a month. To raise that amount, she should contact 6 church group(s) and 2 neighborhood group(s).
(Type whole numbers.)
(b) Explain what the values of the slack variables in the optimal solution mean in the context of the problem. Select the correct choice below and, if necessary, fill in
the answer box(es) to complete your choice.
A. For Liz to raise the most possible in a month, she should use all of the available letter-writing time and all but
hour(s) of the available follow-up time.
(Type a whole number.)
B. For Liz to raise the most possible in a month, she should use all but
hour(s) of the available letter-writing time and all of the available follow-up time.
(Type a whole number.)
C. For Liz to raise the most possible in a month, she should use all of the available letter-writing time and all of the available follow-up time.
D. For Liz to raise the most possible in a month, she should use all but
follow-up time.
(Type whole numbers.)
hour(s) of the available letter-writing time and all but
hour(s) of the available
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