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.

(a) Formulate this as a linear program.

(b) Find a good or optimal integer solution part (a) by rounding off or making an educated guess at the answer.

(c) Solve this as an integer programming problem using a computer.