Answer:
$52
$ 1.33
- consumer price will increase
- consumer surplus will decrease
- import will decrease
- reduced export
- portends gloom for the general outlook for the economy
Explanation:
Given domestic demand curve, S(p) = 20p⁻⁰°⁵
the domestic supply curve S(p)= 5p⁰°⁵
world price is $7.00
using calculus to determine the changes in consumer surplus
by consumer surplus means in this case supply exceeds demand
we establish the equilibrium point where the supply and demand functions meet or are equal
solving 20p⁻⁰°⁵ = 5p⁰°⁵
20/5 = p⁰°⁵/p⁻⁰°⁵
4 = p⁰°⁵⁺⁰°⁵
4= p = q which is the quantity produced
consumer surplus = maximum price willing to pay - Actual price
= ∫⁴₀ dp dp - p* q
= ∫⁴₀20p⁻⁰°⁵ dp- 7* 4
= 20∫⁴₀p⁻⁰°⁵ dp -28
= 20/0.5 p⁰°⁵- 28
= 40 *4⁰°⁵ - 28 = $52
producer surplus = it is a measure of producer welfare. It is measured as the difference between what producers are willing and able to supply a good for and the price they actually receive
thus producer surplus = p* q - ∫⁴₀ d(s) dp
= 7 * 4 - ∫⁴₀ 5p⁰°⁵ dp
= 28 - 5 ∫⁴₀ p⁰°⁵ dp
= 28 -5 *2/3 p¹°⁵
= 28 -5 *2/3 4¹°⁵
=$ 1.33
welfare from eliminating free trade
- consumer price will increase
- consumer surplus will decrease
- import will decrease
- reduced exports
- portends gloom for the general outlook for the economy
