A company makes two products , namely X and Y. Each product must be processed in 3 stages; welding , assembly and painting.

Each unit X takes 2 hours in welding, assembling 3 hours and 1 hour in painting.
Each unit Y takes 3 hours in welding, 2 hours assembling and 1 hours in painting.

The Total hours worked by employees for one month is 1500 hours for welding, 1500 hours for assembling and 550 hours for painting . The contribution to profits is IDR 1,000,000 for product X and IDR 1.200.000 for product Y

Determine :
a) The objective function (Z) to maximize the linear program.
b ) The constraint equations for an employee working hours welding in this linear program
c ) Find a solution to this linear programming problem (the value of X and Y ) if the company's profit is maximized . How much of IDR the maximum profit ?

Please help me..