Liz is working to raise money for breast cancer research. She discovered that each church group requires 2 hours of lett

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Liz Is Working To Raise Money For Breast Cancer Research She Discovered That Each Church Group Requires 2 Hours Of Lett 1 (57.68 KiB) Viewed 47 times

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 $200 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 x₂ represent the numbers of church groups and neighborhood groups, respectively, and let z be the total amount of money raised. z= subject to 2x₁ + 2x₂ X₁ + 3x₂ x₁ ≥ 0, X₂ ≥ 0. (Do not factor. Do not include the $ symbol in your answers.) Liz can raise at most $ in a month. To raise that amount, she should contact church group(s) and 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. O A. For Liz to raise the most possible in a month, she should use all but (Type a whole number.) OB. For Liz to aise the most possible i (Type a whole number.) month buld hour(s) of the available letter-writing time and all of the available follow-up time. of the available letter-writing hour(s) (…) the available follow-up O C. For Liz to raise the most possible in a month, she should use all but (Type whole numbers.) O D. 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. hour(s) of the available letter-writing time and all but hour(s) of the available follow-up time.