American Motor Works produces SUVs and Trucks at the same plant. Each SUV requires 4 minutes on the body assembly line, 5 minutes in the paint booth, 8 minutes on the interior installation line and 3 minutes to install the luxury trim. The factory sells SUVs to dealerships for $18665. each truck requires 3 minutes on the body assembly line, 6 minutes in the paint booth, 3 minutes on the interior assembly line and 8 minutes to apply bed-lining. The trucks sell for $13315. For one two-week pay period, American has trained labor available to operate the body line for 110 hours, the interior line for 174 hours, the paint booth for 193 hours, the bed-lining booth for 220 hours and the luxury trim station for 3510 minutes. The body line and paint both each cost $34500 per hour to run, the interior line costs $52800 per hour to run, bed-lining costs $22500 per hour to install, and luxury trim costs $69,000 per hour to install.
a. Determine the profit on each variable and an equation for the total profit this pay-period.
b. Create a resource chart and determine the constraints
c. Graph the feasable regions.