Q1. Ish's Butter Cookies sells large tins of butter cookies and small tins of butter cookies. The factory can prepare at most 200 tins of cookies a day. Each large tin of cookies requires 2 pounds of butter, and each small tin requires 1 pound of butter. There is a maximum of 300 pounds of butter available each day. The profit from each day's cookie production is: $6 for the large tin and $4.80 for the small tin. Find the maximum profit that can be expected in a day.
Q2. An investor has $12,000 to invest into two different funds. Fund A, which is a high-risk fund yields an average return of 14%. Fund B, which is a low-risk fund, yields an average return of 6%. To reduce the risk, the investor wants the amount in fund B to be at least twice the amount in fund A. How much should be invested in each fund to maximize the return? What is the maximum return?