A carpenter makes three types of cabinets: provincial x1, colonial x2, and modern x3. The provincial model

Question:

A carpenter makes three types of cabinets: provincial x1, colonial x2, and modern x3. The provincial model requires 8 hours for fabricating, 5 hours for sanding, and 6 hours for staining. The colonial model requires 6 hours for fabricating, 4 for sanding, and 2 for staining. The modern model requires 5 hours for fabricating, 2 for sanding, and 4 for staining. The carpenter has 96 hours for fabricating, 44 for sanding, and 58 for staining. Profit margins are $38, $26, and $22 on x1, x2, and x3, respectively. Express the data in mathematical form suitable for finding the optimal output mix. image text in transcribed