Please show formula!

3. Optimization (30 pts) Your company has tasked you with determining how to invest $1,000 for advertising this month. You have the choice between two different options: Newspaper and Radio Ads. For every $1 you spend on Newspaper, you earn 50 Exposure Points. For every $1 you spend on Radio, you earn 80 exposure points. Your boss also mentions you must follow the following rules: Va. You must spend at least $250 on Newspaper Ads You must spend at least $250 on Radio Ads You must spend at least twice as much on Newspaper ads as you did for Radio (ie Newspaper >= 2* Radio) Your objective is to determine how much money ($) to spend on both Newspaper and Radio ads in order to maximize your exposure points. Answer: Newspaper $666.67 Radio: $333.33