Print Media Advertising (PMA) has been given a contract to market BuzzCola via newspaper ads in a major Southern newspaper. Full-page ads in theweekday editions (Monday through Saturday) cost $2000 per day, whereas onSunday a full-page ad costs $8000. Daily circulation of the newspaper is 30,000on weekdays and 80,000 on Sunday.
PMA has been given a $40,000 advertising budget for the month ofAugust. The experienced advertising executives at PMA feel that both weekdayand Sunday newspaper ads are important; hence, they wish to run the equivalentof at least eight weekday and at least two Sunday ads during August. (Assumethat a fraction al ad would simply mean that a smaller ad is placed on one ofthe days; that is, 3.5 ads would mean three full-page ads and one one-half pagead. Also assume that smaller ads reduce exposure and cost proportionately.)This August has 26 weekdays and 5 Sundays.
If the objective is to maximize cumulative total exposure (as measuredby circulation) for the month of August, answer the following questions :
a) Writethe linear programming model for this problem. Define the variables precisely.
PMA has been given a $40,000 advertising budget for the month ofAugust. The experienced advertising executives at PMA feel that both weekdayand Sunday newspaper ads are important; hence, they wish to run the equivalentof at least eight weekday and at least two Sunday ads during August. (Assumethat a fraction al ad would simply mean that a smaller ad is placed on one ofthe days; that is, 3.5 ads would mean three full-page ads and one one-half pagead. Also assume that smaller ads reduce exposure and cost proportionately.)This August has 26 weekdays and 5 Sundays.
If the objective is to maximize cumulative total exposure (as measuredby circulation) for the month of August, answer the following questions :
a) Writethe linear programming model for this problem. Define the variables precisely.