1. as discussed in class, what is the definition of supply?\n2. suppose that a certain two - good economy…

1. as discussed in class, what is the definition of supply?\n2. suppose that a certain two - good economy produces apples and oranges.\nin 2011, this economy produces 20 apples and 30 oranges.\nin 2012, this economy produces 50 apples and 70 oranges.\nin 2011, the price of an apple is $1 and the price of an orange is $3.\nin 2012, the price of an apple is $2 and the price of an orange is $8.\nwhat is the formula for the gdp deflator in terms of apples and oranges? (3 points)
Answer
Explanation:
Step1: Recall GDP deflator formula
The formula for the GDP deflator is $\text{GDP deflator}=\frac{\text{Nominal GDP}}{\text{Real GDP}}\times100$. In a two - good economy with goods $A$ (apples) and $B$ (oranges), nominal GDP is calculated as the sum of the current - price value of all goods produced in the current year. So, $\text{Nominal GDP}=\sum_{i = A,B}P_{i,t}\times Q_{i,t}$, where $P_{i,t}$ is the price of good $i$ in year $t$ and $Q_{i,t}$ is the quantity of good $i$ produced in year $t$. Real GDP is calculated as the sum of the base - year price value of all goods produced in the current year. So, $\text{Real GDP}=\sum_{i = A,B}P_{i,b}\times Q_{i,t}$, where $P_{i,b}$ is the price of good $i$ in the base year and $Q_{i,t}$ is the quantity of good $i$ produced in year $t$.
Answer:
$\text{GDP deflator}=\frac{\sum_{i = \text{apples},\text{oranges}}P_{i,\text{current}}\times Q_{i,\text{current}}}{\sum_{i = \text{apples},\text{oranges}}P_{i,\text{base}}\times Q_{i,\text{current}}}\times100$