The objective function is to maximize profits if profit equals P4X + P2Y. Given the objective function and constraints , what is the most profitable number of units of X and Y, respectively, to manufacture?

Koliz Inc. manufactures two products, X and Y. Each product must be processed in each of three departments: machining, assembling, and finishing. The hours needed to produce one unit of product per department and the maximum possible hours per department are provided below:

Maximum Capacity

Production Hours per Unit In Hours

Department X Y

Machining 2 2 420

Assembling 2 2 500

Finishing 2 3 600

Other Instructions follow:

X = 50

Y = 50