1. a. Under free trade, China's peanuts domestic production will be 100 units (50 + 5 x 10).
b. Under free trade, China's peanuts import will be 200 units (300 - 100).
c. Under free trade, China's peanuts export will be negative 200 units (100 - 300).
d. Free trade ensures that domestic consumption is met because domestic manufacturers will produce 100 units while the remaining 200 units demanded by consumers will be met through imports.
2. a. With a quota limit of 200 units for peanuts import, peanuts production will still be 100 units (50 + 5 x 10).
b. Under the quota limit, China's peanuts import will be 200 units (300 - 100) since internal production is not more than 100 units.
c. Under the quota limit, China's peanuts export will be zero units.
d. The quota limit will still ensure that domestic consumption is met because the quota of 200 units plus 100 units of internal production will meet domestic demand for 300 units.
<h3>What are Free Trade and Quota?</h3>
Free trade implies the absence of any government-imposed limits on imports and exports. On the other hand, quota refers to the trade restriction imposed by governments.
<h3>Data and Calculations:</h3>
D = 400 - 10P
S = 50 + 5P
Where:
D = Demand
S = Domestic Supply
P = Price
Price = $10
a. The quantity demanded will be 300 units (400 - 10 x 10).
b. The quantity supplied (domestically) will be 100 units (50 + 5 x 10).
c. The import quantity will be 200 units (300 - 100).
c. Quota imposed on imports of peanuts = 200 units
Thus, <u>there will be no changes</u> in the welfare of consumers and manufacturers under the quota limit compared with free trade because the quota meets domestic demand.
Learn more import and export quota systems and free trade here: brainly.com/question/14913943 and brainly.com/question/10608502