User The Cleaning Fairy uses raw materials I and II to produce two household cleaning solutions A and B. The daily available quantities of raw materials I and II are 15 and 14 pounds, respectively. One pound of solution A consumes 0.5 pounds of raw material I and 0.6 pounds of raw material II, and one pound of solution B consumes 0.5 pounds of raw material I and 0.4 pounds of raw material II. The profits per pound of solutions A and B are $8 and $10, respectively. The daily demand for solution A is between 3 and 15 pounds, and the daily demand for solution B is between 4 and 20 pounds. Find the optimal production volume for A and B