Formulate and find the optimal solution for this problem.
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Elizabeth Bailey is the owner and general manager of Princess Brides, which provides a wedding planning service in Southwest Louisiana. She uses radio advertising to market her business. Two types of ads are available—those during prime-time hours and those at other times. Each prime-time ad costs $390 and reaches 8,200 people, while the off-peak ads each cost $240 and reach 5,100 people. Bailey has budgeted $1,800 per week for advertising. Based on comments from her customers, Bailey wants to have at least 2 prime time ads and no more than 6 off peak ads. Formulate and find the optimal solution for this problem.
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