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Uni-ad, an advertising company, is planning an advertise campaign for a new product recently introduced in the market. It decided to insert advertisements in four
Uni-ad, an advertising company, is planning an advertise campaign for a new product recently introduced in the market. It decided to insert advertisements in four leading magazines. The readership profile of these four magazines is as follows: Redership Profile I-weekly 70% Media Y-times 80% S-dust 40% S-style 50% 80% 60% 50% 40% Reader's age (20-45) Education level (Graduation and above) Income (RM 2000 and above) Audience size 60% 70% 40% 20% 3,200,000 500,000 200,000 400,000 The cost per advertisement in I-weekly is RM 1000, in Y-times RM 700, in S-dust RM 500, and in S-style is RM 600. The company has taken a policy decision in respect of maximum and minimum number of advertisements it would like to insert in these media. The details are as follows: Media Max no. of ads Min no. of ads I-weekly 50 20 Y-times 40 10 S-dust 30 5 S-style 20 10 The relative importance of the characteristics mentioned in the readership profile are 0.4.0.4 and 03 respectively for age, education and income. The advertisement budget allocated is RM 50,000. The company is wondering as to how many advertisements it should insert so as to maximize the total effective exposure. The effective exposure is equal to "coefficient multiplied by audience size, where coefficient is a weighted average of readership characteristics. Formulate the above problem into a linear programming problem. Uni-ad, an advertising company, is planning an advertise campaign for a new product recently introduced in the market. It decided to insert advertisements in four leading magazines. The readership profile of these four magazines is as follows: Redership Profile I-weekly 70% Media Y-times 80% S-dust 40% S-style 50% 80% 60% 50% 40% Reader's age (20-45) Education level (Graduation and above) Income (RM 2000 and above) Audience size 60% 70% 40% 20% 3,200,000 500,000 200,000 400,000 The cost per advertisement in I-weekly is RM 1000, in Y-times RM 700, in S-dust RM 500, and in S-style is RM 600. The company has taken a policy decision in respect of maximum and minimum number of advertisements it would like to insert in these media. The details are as follows: Media Max no. of ads Min no. of ads I-weekly 50 20 Y-times 40 10 S-dust 30 5 S-style 20 10 The relative importance of the characteristics mentioned in the readership profile are 0.4.0.4 and 03 respectively for age, education and income. The advertisement budget allocated is RM 50,000. The company is wondering as to how many advertisements it should insert so as to maximize the total effective exposure. The effective exposure is equal to "coefficient multiplied by audience size, where coefficient is a weighted average of readership characteristics. Formulate the above problem into a linear programming
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