Question #96ecf

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Question #96ecf

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Answer 1 · 2017-02-26T10:24:13

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

Then we have

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

Subtract $220 r$ $220r$ from both sides

$150 p > 3700 - 220 r$ $150p>3700-220r$

Divide both sides by 150

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

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

$p \to y$ $p->y$
$r \to x$ $r->x$

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Question #96ecf

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