The total production of $x_1,x_2$ and $x_3$ must be no more than $90$ units

The ratio of $x_1$ to $x_2$ can be no more than $7$ to $3.$

$x_1$ cannot be more than $40$ percent of the mix. The mix includes three components $x_1,x_2$ and $x_3$

The production of $x_1$ must be at least $6$ less than $x_2$

The quantity of $S$ must be no less than one$-$fourth as large as $T$ and $U$ combined.

$x_2$ must be at least $50$ percent of the mix. The mix includes three components $x_1,x_2,$ and $x_3$

The quantity of $Q$ must be at least as large as the sum of $R,S,$ and $T.$

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