In: Economics
In 2017 the U.S. imported approximately $14.5 billion in household appliances from China, including about 21 million washing machines.
1) The tariff imposed on Chinese washing machines increases its price. New price of washing machines in US will be P'=120P/100 =1.2P for first 1.2 million units. Above 1.2 million units, price becomes 1.5P.
As a result, imports falls.Let number of imports be imports be Q = 21 million initially and Q' is the number of units after tariff over 1.2 million units..
Then, 1.2P*1.2 + 1.5PQ' = PQ
or, 1.44P+1.5PQ'=PQ
or, 1.44+1.5Q'=21 million
or, Q'=(21-1.44)/1.5 = 13.04 million
Total imports = 13.04+1.2 million = 14.24 million washing machines.
As imports falls in US, exporting country China gets hurt as its export falls. This will lower net export of washing machines in China (21-14.24 = 6.76 million) . This will lead to lowering of China's GDP.
2) Now, with a tariff of 28% on US exports of soybeans to China , the new import of soybeans in China falls to (100-28)*12.4/100 = $8.9 billion. Thus, the export of soybeans from US falls by 12.4-8.9 = $3.5 billion.
This hurts US economy as its net exports falls by $3.5 billion thereby, lowering US GDP.