The owner of Michael's Flower Shoppe needs to determine a fair price for wedding bouquets, but the store records only show the total number of flowers. In order to cost the bouquets correctly, the owner needs to know the number of each type of flower used. In December, The Shoppe special ordered 420 flowers for weddings. They ordered carnations for $1.50 each, roses for $5.75 each, and miniature lilies for $2.60 each, and spent $1,206.60 in total. They ordered 40 more roses than lilies. Let x = the number of carnations, y = the number of roses, and z = the number of lilies. In this problem you need to: 1. Complete the system of equations needed to solve the problem. 2. Find the matrices for the formula AB = X. 3. Find the inverse of A, and solve for X. (Use your calculator.)