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.
The set of equations are as follows
Add the first two equations 1 and 2;
Add equation 2 and 3;
Such that you obtain two set of equations which are;
Making y the subject from equation 4 you get;
Substituting for y in equation 5;
Where you get
Substituting for the value of x in equation 6;
Units of x needed to produce the same number of y are 20
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