Luminous Lamps produces three types of lamps - A, B, and C. These lamps are processed on three machines - X, Y, and Z. The full technology and input restrictions are given in the following table:
Product Machine X Machine Y Machine Z Profit per Unit
A 7 3 2 12
B 10 2 4 3
C 1 1 1 1
Find out a suitable product mix to maximize the profit using the simplex method.