# Question #96ecf

Feb 26, 2017

See explanation

#### Explanation:

This is one of those situations where you may substitute any value in either variable as long as it fits a rather 'wide' criterion (inequality)

Let the count of rattan chairs be $r$ at $220 each Let the count of plastic chairs be $p$at$150 each

Then we have

$220 r + 150 p > 3700$
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Or if you prefer:

Subtract $220 r$ from both sides

$150 p > 3700 - 220 r$

Divide both sides by 150

$p > \frac{74}{3} - \frac{22}{15} r$

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To plot
set $p$ as the equivalent of $y$ on the x,y plane
set $r$ as the equivalent of $x$ on the x,y plane

$p \to y$
$r \to x$