Question

A department store chain has up to $26,000 to spend on television advertising for an upcoming sale. All of the advertisements will be placed with one television station, where a 30 second ad costs $1,000 on daytime TV and is viwed by 11,000 potential customers, $2,000 on prime-time TV and is viewed by 24.000 potential customers, and $1,500 on late-night TV and is viewed by 18.000 potential customers. The television station will not accept more than 20 ads during all three viewing times from the department store The following linear programming problem statement represents the department store's need to determine how many ads should be placed during each viewing time in order to maximize the number of potential customers who will see the ads.

Answer 1

The constraints are 1000, + 2000x2 + 1500x3 26000 since both inegualities are 3 type we need to add some quantiy on left hand side called slace variable to make them equal let s, and s2 are slack varaibles such that 100여 + 2000x2 + 1500x3 +s,-26000..(1) 0(2) 1) and (2) are requied linear equations by introducin slace variables