John's Locomotive Works manufactures a model locomotive. It comes in two versions--a standard (S), and a deluxe (D). The standard version locomotive (S) generates $150 profit per unit. The deluxe version locomotive (D) generates $450 profit per unit.
One constraint on John's production is labor hours. He only has 40 hours per week of available labor. The standard version requires 8 hours per unit, while the deluxe version requires 4 hours per unit.
John's milling machine is also a constraint. There are only 60 hours a week available for the milling machine. The standard version requires 1 hour per unit, while the deluxe version requires 2 hours per unit.
Assume (S,D >= 0). John's goal is to maximize profit.
Refer to Scenario 3. The constraint equation for Labor is:
1S + 2D ≥ 60
8S + 4D ≤ 40
1S + 2D ≤ 60
8S + 4D ≥ 40
The equation for maximisation of profit will go as this Max Z = 150S + 450D Constraints to the above... View the full answer