The yield column represents each investment’s annual yield. the maturity column indicates the number of years funds must be placed in each investment. the risk column indicates an independent financial analyst’s assessment of each investment’s risk. in general, the trust officer wants to maximize the weighted average yield on the funds placed in these investments while minimizing the weighted average maturity and the weighted average risk.

The management of a supermarket wants to adopt a new promotional policy of giving a free gift to every customer who spends more than a certain amount per visit at this supermarket. the expectation of the management is that after this promotional policy is advertised, the expenditures for all customers at this supermarket will be normally distributed with a mean of $95 and a standard deviation of $20. if the management wants to give free gifts to at most 10% of the customers, what should the amount be above which a customer would receive a free gift?