6. The marketing manager of Hops Brewery must determine how many television spots and magazine ads to purchase within an advertising budget of $100,000. Each TV spot is expected to increase sales by 35,000 cases (each case contains 24 cans), whereas each magazine ad will cause an increase of 100,000 cases in sales. Hop's gross profit on sales is $2.00 per can. Each television spot costs $2,000. Each magazine ad requires an expenditure of $5,000. To have a balanced marketing program, the advertising budget must involve no more than $70,000 in magazine ads and no more than $50,000 in television spots. Determine how many TV spots and how many magazine ads should be purchased in order to maximize the net increase in beer profits.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter7: Nonlinear Optimization Models
Section: Chapter Questions
Problem 56P
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6. The marketing manager of Hops Brewery must determine how many
television spots and magazine ads to purchase within an advertising budget
of $100,000. Each TV spot is expected to increase sales by 35,000 cases
(each case contains 24 cans), whereas each magazine ad will cause an
increase of 100,000 cases in sales. Hop's gross profit on sales is $2.00 per
can. Each television spot costs $2,000. Each magazine ad requires an
expenditure of $5,000. To have a balanced marketing program, the
advertising budget must involve no more than $70,000 in magazine ads and
no more than $50,000 in television spots.
Determine how many TV spots and how many magazine ads should be
purchased in order to maximize the net increase in beer profits.
Transcribed Image Text:Data Types Sort Fiter Data Tools Forecast Outline G M. R. T. 6. The marketing manager of Hops Brewery must determine how many television spots and magazine ads to purchase within an advertising budget of $100,000. Each TV spot is expected to increase sales by 35,000 cases (each case contains 24 cans), whereas each magazine ad will cause an increase of 100,000 cases in sales. Hop's gross profit on sales is $2.00 per can. Each television spot costs $2,000. Each magazine ad requires an expenditure of $5,000. To have a balanced marketing program, the advertising budget must involve no more than $70,000 in magazine ads and no more than $50,000 in television spots. Determine how many TV spots and how many magazine ads should be purchased in order to maximize the net increase in beer profits.
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