Question

Assume that the quantity of X is measured on the horizontal axis, and the quantity of Y is measured on the vertical axis. Assume that the price of X is $60, the price of Y is $30 and Rafe has an weekly income of $180. Which of the following is true? He can afford 6 units of good Y. His budget line has a slope of 1/3. He can afford 6 units of good X. His budget line has a slope of −1/3.

Answer 1

True : He can afford 6 units of good Y'

Step-by-step explanation:

Budget Line is a combination of two goods, consumer can afford with entire given money income & prices.

Equation : p1 x1 +p2 x2 = m. Here p1 & p2 are prices of two goods, x1 & x2 are quantities of two goods, m is money income.

Intercept of budget line is max quantity of a good consumer can buy spending only on either good. Formula = m / p1 & m / p2

As : m = 180 , p1 (px) = 60 , p2 (py) = 30 . Intercepts (x & y) = 180 / 60 = 3 & 180 / 30 = 6 respectively.

So, 'He can afford 6 units of good Y' is True. 'He can afford 6 units of good X' is False.

Slope shows the trade off of goods, given money income & price. Formula = = p1 / p2 = px / py = 60 / 30 = (-) 2. 'His budget line slope = 1/3 or -1/3', both are False