Q$2)$ TD$,$ a new advertising agency with $10$ employees, has received a contract to promote a

new product. The agency can advertise by radio and television. The following table gives the

number of people reached by advertisement and the cost and labour requirements.

Radio Television

Exposure $($in millions of

persons$)$

$48$

Cost $($in thousands of dollars$)824$

Assigned Employees $12$

The contract prohibits TD from using more than $6$ minutes of radio advertisement.

Additionally, radio and television advertisements need to reach at least $45$ million people

$($exposure goal$).$ TD has a budget goal of $$100,000$ for the project. How many minutes of radio

and television advertisements should TD use? TD assumes that the exposure goal is twice as

important as the budget goal.