the tv show Agents of Shield averaged 8.0 million viewers its first season, 2013. The Big Bang Theory averaged 6.2 million viewers that same year. The marketing department Douse & Burnham was running the ad campaign for the Abacus Steam Powered Calculating Devices Corporating and they wanted to buy at least 30 commercial spots during episodes of Agents of Shield and The Big Bang Theory. The price for a 30 second spot during Shield cost $2000 while a 30 second spot during Big Bang cost $3000. The budget for the ad campaign was $70000 and they wanted at least 75% of the total number of spot to air during Shield. How many total spots should the marketing firm have purchased to reach the most viewers?
