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Contact [7]
4 years ago
12

A printing company orders paper from two different suppliers. Supplier X charges $25 per case. Supplier Y charges $20 per case.

The company needs to order at least 45 cases per day to meet demand and can order no more than 30 cases from Supplier X. The company needs no more than 2 times as many cases from Supplier Y as from Supplier X. Let x = the number of cases from Supplier X and y = the number of cases from Supplier Y. Complete the constraints on the system. y es002-1.jpg x x + y es003-1.jpg x es004-1.jpg
Mathematics
1 answer:
Lana71 [14]4 years ago
4 0
<span>Let x = the number of cases from Supplier X and
y = the number of cases from Supplier Y

From the statement "</span><span>The company needs to order at least 45 cases per day"
</span>x + y ≥<span> 45
From "</span><span>The company can order no more than 30 cases from Supplier X"
x </span>≤ 30
<span>From the statement "the company needs no more than 2 times as many cases from Supplier Y as from Supplier X". 
y </span>≤ 2x<span>
</span>
<span>

</span>
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<u>Finding the Slope:</u>

<u>Rise:</u>

We know that the rise of a line is its change in y-coordinate

So, rise of the given line = y₂ - y₁

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Rise = -4

<u>Run:</u>

We know that the run of a line is its change in x-coordinate

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Run = 2

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As we said before,

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<em>replacing the variables</em>

Slope = -4/2

Slope = -2

Hence, the slope of the given line is -2

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