Example of Gains of Specialization

Example of Gains of Specialization

<p> EXAMPLE OF GAINS OF SPECIALIZATION</p><p>SMITH PRODUCTIVITY (=ΔQ/ΔL, Q=output, L=labor)</p><p>U.S. MEXICO</p><p>CORN 3 bu./hr. 1 bu./hr.</p><p>AVOCADOS 1 bu./hr. 2 bu./hr</p><p>RICARDO PRODUCTIVITY PRODUCTION BEFORE PRODUCTION AFTER & (=ΔQ/ΔL, Q=output, SPECIALIZATION SPECIALIZATION CURRENT L=labor)</p><p>U.S. MEXICO U.S. MEXICO Total U.S. MEXICO TOTAL</p><p>CORN 3 bu./hr. 1 bu./hr. 1500 bu. 1100 bu. 2600 3000 0 3000</p><p>AVOCADOS 2 bu./hr. 1 bu./hr 1000 bu. 1100 bu. 2100 0 2200 2200</p><p>MC 3/2 bu. 1bu. Corn (avocados) Corn</p><p>LABOR 1000 Hrs. 2200 Hrs. 500 Hrs. 1100 Hrs. ALL ALL TO TO EACH TO TO AVOCADOS EACH CORN</p><p>CONSUMPTION AFTER CONSUMPTION AFTER TRADE</p><p>TRADE ( @PA = 1.25C) (@ PA=1.4C) of 1050A for 1312.5C of 1050A FOR 1470C</p><p>U.S. MEXICO Total U.S. MEXICO Total</p><p>CORN 1687.5 1312.5 3000 1530 1470 3000</p><p>AVOCA 1050 1150 2200 1050 1150 2200</p><p>NOTE: THE SPECIALIZATION PATTERN WILL OCCUR IF CORN PRICE IS LOWER IN THE US AND HIGHER IN MEXICO (AND REVERSE FOR AVOCADOS) FOR EXAMPLE:</p><p>MARKET PRICES (HOME CURRENCY) MARKET PRICES (in U.S $) BEFORE TRADE (P = MC = wΔL/ΔQ, BEFORE TRADE where ΔL/ΔQ = reciprocal of productivity) EXCHANGE RATE = 5 PESOS/$1</p><p>US MEXICO US MEXICO</p><p>WAGE $10 20 PESOS WAGE $10 $4</p><p>PRICE OF $3.33 20 PESOS PRICE OF $3.33 $4 CORN CORN</p><p>PRICE OF $5 20 PESOS PRICE OF $5 $4 AVOCADOS AVOCADO S</p><p>Note: After trade, prices measured in the same currency will be the same. For example, if the world price of avocados is 1.25 bu. of corn/ bu. of avocados, then, the U.S. price of corn could rise in the U.S. (fall in Mexico) to, e.g., $3.50 and the price of avocados would be 3.50x1.25 = $4.375 (= fall in the US and rise in Mexico).</p>

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