3. A small firm makes three products, Product X1, Product X2, and Product X3, which all follow the same three step process, which consists of priming, painting, and detailing. Product X1 requires 3 minutes of priming, 6 minutes of painting, and 4 minutes of detailing; Product X2 requires 4 minutes of priming, 1 minutes of painting, and 5 minutes of detailing; and Product X3 requires 3 minutes of priming, 2 minutes of painting, and 7 minutes of detailing. The department has 16 hours available during the next period for priming, 12 hours for painting, and 18 hours for detailing. Product X1 contributes $5 per unit to profit, Product X2 contributes $3 per unit, and Product X3 contributes $9 per unit.

(2 points) Is this a max or min problem?

(2 points) Write the equation for the objective function value:

(2 points) Write the equation for the priming constraint:

(2 points) Write the equation for the painting constraint:

(2 points) Write the equation for the detailing constraint: