Elektra Inc. advertises its products on both radio and television (TV). Each minute of radio and TV advertisement costs $150 and $3000, respectively, and Elektra's advertisement budget is limited to $100,000 per month. Elektra always advertises on radio at least twice as much as TV. In the meantime, it is not practical to purchase more than 400 minutes of radio advertisement a month. Media research estimates that the audience for TV advertisement is 25 times the size of the audience for radio advertisement. How many minutes of radio and TV advertisement should Elektra purchase monthly in order to reach the largest audience possible? Formulate a mathematical programming model for this decision