Pat Darke has inherited $100,000 from a long lost relative. Being frugal, Pat has decided to invest the entire amount in a portfolio consisting of Government of Canada bonds (yield 4%), certificates of deposit (yield 5.5%), a low risk stock fund (yield 10%) and a high risk stock fund (yield 18%). Based on advice from his trusted financial advisor Ray Connolly, Pat has developed the following portfolio requirements:
1. The proportion of the portfolio invested in the low risk stock fund should be 15% or less.
2. The total funds invested in Government of Canada bonds and certificates of deposit should be at least 35% of the portfolio.
3. The funds invested in the high risk stock fund should not exceed the total funds invested in the low risk stock fund and the certificates of deposit.
Given these stipulations, what is the best distribution of PatÂ’s $100,000 inheritance if Pat wants to maximize?