a) Magnate Ventures an advertising agency is preparing an advertising campaign for a group of agencies. These agencies have decided that their target customers should have the following characteristics with importance (weightage) as given below.
25 – 45 years
Above Sh. 80,000
The agency has made a careful analysis of three media and has compiled the following data:
Data Item Media
Magazine Radio Television
Audience size (‘000)
Cost per advertisement (Sh.)
Min. no. of advertisements allowed
Max. no. of advertisements allowed
Age 25 – 45 years
Annual income above Sh. 80,000
The advertising agency has earmarked a budget of Sh. 1000,000 for this purpose.
Formulate the Linear programming model for the problem to maximize the total expected
effective exposure. (12marks)
b) Find the local maximum and local minimum values, if any, of the function:
y = (8marks
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