06.09.2021 Views

International Trade - Theory and Policy, 2010a

International Trade - Theory and Policy, 2010a

International Trade - Theory and Policy, 2010a

SHOW MORE
SHOW LESS

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

A simple method to solve these equations follows.<br />

First, multiply the second equation by (−2) to get<br />

2QC + 3QS = 120<br />

<strong>and</strong><br />

−2QC − 8QS = −240.<br />

Adding these two equations vertically yields<br />

0QC − 5QS = −120,<br />

which implies QS=−120−5=24. Plugging this into the first equation above (any equation will do) yields<br />

2QC + 3∗24 = 120. Simplifying, we get QC=120−722=24. Thus the solutions to the two equations are QC =<br />

24 <strong>and</strong> QS = 24.<br />

Next, suppose the capital endowment, K, increases to 150. This changes the capital constraint but leaves<br />

the labor constraint unchanged. The labor <strong>and</strong> capital constraints now are the following:<br />

Labor constraint: 2QC + 3QS = 120<br />

Capital constraint: QC + 4QS = 150<br />

Follow the same procedure to solve for the outputs in the new full employment equilibrium.<br />

First, multiply the second equation by (−2) to get<br />

2QC + 3QS = 120<br />

<strong>and</strong><br />

−2QC − 8QS = −300.<br />

Saylor URL: http://www.saylor.org/books<br />

Saylor.org<br />

198

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!