As Part of a Campaign to Promote Its Annual Clearance

Essay

As part of a campaign to promote its annual clearance sale, a company decided to buy television-advertising time on a TV station. Company's television-advertising budget is $102,000. Morning time costs $3,000/minute, afternoon time costs $1,000/minute, and evening (prime) time costs $12,000/minute. Because of previous commitments, the station cannot offer the company more than 7 min of prime time or more than a total of 25 min of advertising time over the 3 wk in which the commercials are to be run. The station estimates that morning commercials are seen by 160,000 people, afternoon commercials are seen by 80,000 people, and evening commercials are seen by 480,000 people. How much morning, afternoon, and evening advertising time should the company buy to maximize exposure of its commercials?
__________ min of morning advertising time,
__________ min of afternoon advertising time,
__________ min of evening advertising time
What is the maximum number of viewers? Round your answer to two decimal places, if necessary.
__________ million viewers