Description of this paper

Survey Sciences Inc (SSI) . SSI is a marketing research firm that-(Answered)

Description

Question

Survey Sciences Inc (SSI).? SSI is a marketing research firm that does market surveys on behalf of its clients.? It has been recently contacted by a client to perform a survey for a new product line that will be targeted to the US population overall, but with a special niche market for Hispanic Americans.? The client has agreed to compensate SSI in full for the actual costs of the survey but has specified the following requirements for the survey.?

At least 2,300 U.S. households must be surveyed.

At least 1,000 households whose heads are ? 30 years old must be surveyed.

At least 600 households whose heads are between 31 and 50 must be surveyed.

Ensure that at least 15% of those surveyed live in a state that borders Mexico

Ensure that no more than 20% of those surveyed who are 51 years of age or over live in a state that borders Mexico

Because SSI conducts all its surveys in person, survey costs are high.? The cost accountants at SSI estimate of the costs of reaching people in each age and region category are as follows:

 COST PER PERSON SURVEYED (\$) REGION AGE ? 30 AGE 31-50 AGE ? 51 State bordering Mexico \$7.50 \$6.80 \$5.50 State not bordering Mexico \$6.90 \$7.25 \$6.10

Since SSI would like to get this surveying project from this client, its goal is to design a survey plan that minimizes the total cost of conducting the survey.? Formulate this decision problem for SSI as a linear program. Your answer must consist of

5 points (i) Formulate the above as a linear program.? Indicate clearly the decision variables, constraints and the objective function.

5 points (ii) Solve the linear program in (i) by using MS Excel.?? Submit a printed copy of the spreadsheet you used to model the program showing the optimal solution you obtained

5 points (iii) State your results as a table which summarizes the optimal survey plan and presents the results in the following format.

 Survey Demographic Group Number Surveyed In Optimal Survey Plan Cost Of Surveying The Demographic Group 30 or younger and in a border state 31-50 and in a border state 51 or older and in a border state 30 or younger and in a non-border state 31-50 and in a non-border state 51 or older and in a non-border state Totals

(15 points) Question 2: Survey Sciences Inc (SSI). SSI is a marketing research firm that does market

surveys on behalf of its clients. It has been recently contacted by a client to perform a survey for a new

product line that will be targeted to the US population overall, but with a special niche market for

Hispanic Americans. The client has agreed to compensate SSI in full for the actual costs of the survey but

has specified the following requirements for the survey.

1.

2.

3.

4.

5.

At least 2,300 U.S. households must be surveyed.

At least 1,000 households whose heads are ? 30 years old must be surveyed.

At least 600 households whose heads are between 31 and 50 must be surveyed.

Ensure that at least 15% of those surveyed live in a state that borders Mexico

Ensure that no more than 20% of those surveyed who are 51 years of age or over live in

a state that borders Mexico

Because SSI conducts all its surveys in person, survey costs are high. The cost accountants at SSI

estimate of the costs of reaching people in each age and region category are as follows:

COST PER PERSON SURVEYED (\$)

REGION

AGE ? 30

AGE 31-50

AGE ? 51

State bordering Mexico

\$7.50

\$6.80

\$5.50

State not bordering Mexico

\$6.90

\$7.25

\$6.10

Since SSI would like to get this surveying project from this client, its goal is to design a survey plan that

minimizes the total cost of conducting the survey. Formulate this decision problem for SSI as a linear

5 points (i) Formulate the above as a linear program. Indicate clearly the decision variables,

constraints and the objective function.

5 points (ii) Solve the linear program in (i) by using MS Excel. Submit a printed copy of the

spreadsheet you used to model the program showing the optimal solution you obtained

5 points (iii) State your results as a table which summarizes the optimal survey plan and presents

the results in the following format.

Survey Demographic

Group

Number Surveyed In

Optimal Survey Plan

Cost Of Surveying

The Demographic

Group

30 or younger and in a

border state

31-50 and in a border

state

51 or older and in a

border state

30 or younger and in a

non-border state

31-50 and in a nonborder state

MBA-701-Course-Proejct-4????.1

51 or older and in a

non-border state

Totals

MBA-701-Course-Proejct-4????.2

Paper#9210347 | Written in 27-Jul-2016

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