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.
My answer so fat is:
(a)
Linear Programming model:
Define Variables:
Wf=Weekday full page ads
Sf=Sunday full page ads
Objective is:
Maximize Advertisement exposure
Z=26Wf+5Sf
Constraints:
Number of days: 8Wf+2Sf≥31 (1)
Cost of Ads: 2000Wf+8000Sf≤40000 (2)
Size of Ads: Wf+Sf≥3.5 (3)
Non-negativity: Wf≥0 and Sf≥0
Is this correct???