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 1) State the decision variables and constraints in this problem. 2) What is the objective function in this problem? 3) Find the optimal solution. State the call plan and total cost. 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 1) State the decision variables and constraints in this problem. 2) What is the objective function in this problem? 3) Find the optimal solution. State the call plan and total cost. 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.
Chapter11: Simulation Models
Section: Chapter Questions
Problem 54P
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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.
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
1) State the decision variables and constraints in this problem.
1) State the decision variables and constraints in this problem.
2) What is the objective function in this problem?
3) Find the optimal solution. State the call plan and total cost.
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?
calling plan be?
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