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.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

See similar textbooks

Related questions

Concept explainers

Question

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?

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.

Similar questions