The TTK Company has recently developed a new karaoke machine and has $150,000 to spend on advertising. The product is to be initially test-marketed in the Philadelphia area. The money is to be spent on a TV advertising blitz during one weekend (consisting of Saturday and Sunday) in April. There are three options available on both Saturday and Sunday: morning advertising, afternoon advertising, and evening news advertising. A mixture of one-minute TV spots is desired. The goal of the campaign is to maximize the total audience reached while staying within budget.
Estimated Audience Reached Cost per Ad
Morning Ad 3000 $4000
Afternoon Ad 500 $800
Evening Ad 5000 $6000
TTK wants to take out at least one ad of each type (morning, afternoon, and evening ten daytime (-morning and afternoon) spots available on both Saturday and Sunday. There are four evening spots available on Saturday. Further, there are only three Sunday evening ad spots available. TTK wants to have at least 3 ads per day, but spend no more than $70,000 on Saturday and no more than $100,000 on Sunday.
Define the following decision variables for the problem and answer the questions based upon this information:
MSA number of morning ads on Saturday
ASA- number of afternoon ads on Saturday
ESA number of evening ads on Saturday
MSU number of morning ads on Sunday
ASU number of afternoon ads on Sunday
ESU number of evening ads on Sunday