You work at an advertising firm and you're managing the account of a client. You're helping them plan their advertising for the next month. They have a budget of $30,000 and want you to design an ad campaign that: · Includes at least 10 TV commercials · Reaches at least 50,000 people · Allocates no more than $18,000 to TV ads · Maximizes the total Exposure Quality Units The following table shows the number of people reached per ad, the cost per ad, the number of available ads, and the Exposure Quality Units (which measures the ad's effectiveness) per ad for the five available types of media. Reach Cost Available Exposure Quality Units Daytime TV 1000 $1,500 15 65 Evening TV 2000 $3,000 10 90 Daily Paper 1500 $400 25 40 Sunday Paper 2500 $1,000 4 60 Radio 300 $100 30 20 Question: 1:Write out the formulation of a linear optimization model to help you determine the number of each type of ad to purchase in order to maximize the total Exposure Quality Units of the campaign.