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AlekseyPX
3 years ago
5

The donaldson furniture company produces three types of rocking​ chairs: the​ children's model, the standard​ model, and the exe

cutive model. each chair is made in three​ stages: cutting,​ construction, and finishing. stage ​children's standard executive cutting 5 hr 4 hr 7 hr construction 3 hr 2 hr 5 hr finishing 2 hr 2 hr 4 hr the time needed for each stage of each chair is given in the chart. during a specific week the company has available a maximum of 152152 hours for​ cutting, 9292 hours for​ construction, and 7474 hours for finishing. determine how many of each type of chair the company should make to be operating at full capacity.
Mathematics
1 answer:
kirza4 [7]3 years ago
5 0
<span>the question is 3 variable equation solution the three equation will be 5x+4y+7z=152 3x+2y+5z=92 2x+2y+4z=74 solving by elimination we get x=11,y=12,z=7</span>
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Method 1
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Since the numerators are the same, the smaller the denominators, the greater the fraction is.

Arranging from the least to the greatest
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Method 2
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Lets change all to the same denominators 

\dfrac{2}{4}  =  \dfrac{2 \times 3}{4 \times 3}  =  \dfrac{6}{12}

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\dfrac{2}{6}  =  \dfrac{2 \times 2}{6 \times 2}  =  \dfrac{4}{12}

Now that all the denominators are the same, we can arrange the fractions by comparing the numerators. The bigger the numerators, the greater the fraction.

Arranging from the least to the greatest
\dfrac{2}{6} \  , \   \dfrac{2}{4}  \ , \   \dfrac{2}{3}
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