A factory manufactures two articles X and Y. To manufacture article X, a certain machine has to be worked for 1.5 hours and in addition, a craftsman has to work for 2 hours. To manufacture the article Y the machine has to be worked for 2.5 hours and in addition, the craftsman has to work for 1.5 hours. In a week, the factory can avail of 80 hours of machine and 70 hours of the craftsman's time. Let x units of article X and y units of article Y be produced, then the constrains are :

Question

Examsnet · Accepted Answer

Correct Answer is : 1.5x+2.5y≤801.5 x+2.5 y ≤ 801.5x+2.5y≤80 2x+1.5y≤702 x+1.5 y ≤ 702x+1.5y≤70 x≥0;y≥0x ≥ 0 ; y ≥ 0x≥0;y≥0

Linear Inequalities