A marketing research professor is conducting a telephone survey and needs to contact at least 160...

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A marketing research professor is conducting a telephone surveyand needs to contact at least 160 wives, 140 husbands, 110 singleadult males, and 120 single adult females. It costs $2 to make adaytime call and $4 (because of higher labor costs) to make anevening call. The table shown below lists the expected results. Forexample, 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 beevening 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%
Q. Develop a Report for the following
Find the optimal solution. State the call plan and totalcost?

Answer & Explanation Solved by verified expert

3.6 Ratings (284 Votes)

ANSWER Let w1 and w2 are the number of daytime and evening calls are made to wives Let h1 and h2 are the number of daytime and evening calls are made to husbands Let m1 and m2 are See Answer

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Percentages	Daytime	Evening
Wife	25%	25%
Husband	15%	30%
Single male	10%	25%
Single female	15%	15%
None	35%	5%