Linear Inequalities

A factory manufactures two articles $\mathit{X}$ and $\mathit{Y}$. To manufacture article $\mathit{X},$ 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 $\mathit{Y}$ 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 $\mathit{x}$ units of article $\mathit{X}$ and $\mathit{y}$ units of article $\mathit{Y}$ be produced, then the constrains are :