A company in Dubai manufactures two products X and Y. Each product has to be processed in three departments: welding, assembly and painting (see table below). Each unit of X spends 2 hours in the welding department, 3 hours in assembly and 1 hour in painting. The corresponding times for a unit of Y are 3, 2 and 1 hours respectively. The employee hours available in a month are 1,500 for the welding department, 1,500 in assembly and 550 in painting. The contribution to profits are AED 100 per unit of product X and AED 120 per unit of product Y.

Constraints (Hours required)	Hours requirements per unit		Amount of hours available for production
	X	Y
Welding	2	3	1500
Assembly	3	2	1500
Painting	1	1	550

What is the objective function to be maximized in this linear programming problem?

Select one:

a. Profit = 100X + 120Y

b. Profit = 2X + 3Y

c. Profit = 120X + 100Y

d. Profit = 1500X + 1500Y

What is the solution to this linear programming problem in terms of the respective quantities of X and Y to be produced if profits are to be maximized?

Select one:

a. X = 150, Y = 400

b. X = 230, Y = 120

c. X = 400, Y = 150

d. X = 200, Y = 350