Supreme Ventures Limited is a major gambling company in the Caribbean. Last year Supreme Ventures had budgeted up to $8.000 per week for local advertising. The money was allocated among four promotional media: tv spots, newspaper ads, and two types of radio advertisements. Supreme Ventures goal is to reach the largest possible high-potential audience through the various media at the lowest cost possible. The following table presents the number of potential gamblers reached by making use of an advertisement in each of the four media. It also provides the cost per advertisement placed and the maximum number of ads that can be purchased per week. Medium Audience Reached Cost Maximum Ads per Ad per Ad S per Week TV spot (1 min) 5,000 800 12 Daily newspaper (full-page ad) 8500 925 5 290 25 Radio spot (30 sec, primetime) 2400 Radio spot (1min afternoon) 2800 380 20 Supreme Ventures contractual arrangements require that at least 5 radio spots be placed each week. In addition, the firm wants to reach at least 67,000 persons through all media. Formulate a linear programming model that would determine the optimal solution. An

Supreme Ventures Limited is a major gambling company in the Caribbean. Last year Supreme Ventures had budgeted up to $8.000 per week for local advertising. The money was allocated among four promotional media: tv spots, newspaper ads, and two types of radio advertisements. Supreme Ventures goal is to reach the largest possible high-potential audience through the various media at the lowest cost possible. The following table presents the number of potential gamblers reached by making use of an advertisement in each of the four media. It also provides the cost per advertisement placed and the maximum number of ads that can be purchased per week. Medium Audience Reached Cost Maximum Ads per Ad per Ad S per Week TV spot (1 min) 5,000 800 12 Daily newspaper (full-page ad) 8500 925 5 290 25 Radio spot (30 sec, primetime) 2400 Radio spot (1min afternoon) 2800 380 20 Supreme Ventures contractual arrangements require that at least 5 radio spots be placed each week. In addition, the firm wants to reach at least 67,000 persons through all media. Formulate a linear programming model that would determine the optimal solution. An

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter6: Linear Systems

Section6.8: Linear Programming

Problem 5SC: If during the following year it is predicted that each comedy skit will generate 30 thousand and...

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