Case 2: A marketing research professor is conducting a telephone survey and needs to contact at least 160 wives, 140 husbands, 110 single adult males, and 120 single adult females. It costs $2 to make a daytime call and $4 (because of higher labor costs) to make an evening call. The table shown below lists the expected results. For example, 10% of all daytime calls are answered by a single male, and 15% of all evening calls are answered by a single female. Because of a limited staff, at most half of all phone calls can be evening calls. Determine how to minimize the cost of completing the survey. Percentages Daytime Evening Wife 25% 25% Husband 15% 30% Single male 10% 25% Single female 15% 15% None 35% 5% Develop a Report for the following using the Solver application in Excel 4) Obtain a sensitivity report for the reported solution. Which constraints are binding? 5) If the professor could cut the cost of evening calls from $4 to $3, what would the new calling plan be?

Case 2: A marketing research professor is conducting a telephone survey and needs to contact at least 160 wives, 140 husbands, 110 single adult males, and 120 single adult females. It costs $2 to make a daytime call and $4 (because of higher labor costs) to make an evening call. The table shown below lists the expected results. For example, 10% of all daytime calls are answered by a single male, and 15% of all evening calls are answered by a single female. Because of a limited staff, at most half of all phone calls can be evening calls. Determine how to minimize the cost of completing the survey. Percentages Daytime Evening Wife 25% 25% Husband 15% 30% Single male 10% 25% Single female 15% 15% None 35% 5% Develop a Report for the following using the Solver application in Excel 4) Obtain a sensitivity report for the reported solution. Which constraints are binding? 5) If the professor could cut the cost of evening calls from $4 to $3, what would the new calling plan be?

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter6: Optimization Models With Integer Variables

Section: Chapter Questions

Problem 61P

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Case 2: A marketing research professor is conducting a telephone survey and needs to contact atleast 160 wives, 140 husbands, 110 single adult males, and 120 single adult females. It costs $2 tomake a daytime call and $4 (because of higher labor costs) to make an evening call. The table shownbelow lists the expected results. For example, 10% of all daytime calls are answered by a single male,and 15% of all evening calls are answered by a single female. Because of a limited staff, at most halfof all phone calls can be evening calls. Determine how to minimize the cost of completing thesurvey. Percentages Daytime Evening Wife 25% 25% Husband 15% 30% Single male 10% 25% Single female 15% 15% None 35% 5% Develop a Report for the following1) State the decision variables and constraints in this problem. 2) What is the objective function in this problem?…
Case 2: A marketing research professor is conducting a telephone survey and needs to contact atleast 160 wives, 140 husbands, 110 single adult males, and 120 single adult females. It costs $2 tomake a daytime call and $4 (because of higher labor costs) to make an evening call. The table shownbelow lists the expected results. For example, 10% of all daytime calls are answered by a single male,and 15% of all evening calls are answered by a single female. Because of a limited staff, at most halfof all phone calls can be evening calls. Determine how to minimize the cost of completing thesurvey. Percentages Daytime Evening Wife 25% 25% Husband 15% 30% Single male 10% 25% Single female 15% 15% None 35% 5% Develop a Report for the following using the Solver application on Excel 1) State the decision variables and constraints in this problem. 2) What is…
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