Question #271580

Let the PPFs of the factories look like this:

1 plant: y = 40-x

2 plant: y = 100 - 4x

3 plant: y = 60 -2x

Find the maximum number of x if you want it to be exactly the same as y.


1
Expert's answer
2021-11-28T18:05:57-0500

The set of equations are as follows

y=50x...equation1y=50-x... equation 1

y=1004x...equation2y=100-4x... equation 2

y=602x...equation3y=60-2x... equation 3

Add the first two equations 1 and 2;

(y=40x)+(y=1004x)=(2y=1405x)(y=40-x )+(y=100-4x) =(2y=140-5x)

Add equation 2 and 3;

(y=1004x)+(y=602x)=(2y=1606x)(y= 100-4x)+(y=60-2x) =(2y=160-6x)

Such that you obtain two set of equations which are;

2y=1405x...equation42y=140-5x ... equation 4

2y=1606x...equation52y=160-6x... equation 5

Making y the subject from equation 4 you get;

y=702.5x....equation6y =70-2.5x....equation 6

Substituting for y in equation 5;

2(702.5x)=1606x2(70-2.5x)=160-6x

Where you get X=20X=20

Substituting for the value of x in equation 6;

y=70(2.520)=20y=70-(2.5*20) =20

Answer=20Answer = 20

Units of x needed to produce the same number of y are 20




Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!
LATEST TUTORIALS
APPROVED BY CLIENTS