1. A consumer has $300 to spend on goods X and Y. The market prices of these two goods are Px $15 and Py $5.

a. What is the market rate of substitution between goods X and Y?

b. Show how the consumer's opportunity set changes if income increases by $300. How does the $300 increase in income alter the market rate of substitution between goods X and Y?

2. A consumer must divide $ 600 between the consumption of product X and product Y. The relevant market prices are Px = $10 and Py = $40.

a. Write the equation for the consumer's budget line.

b. Show how the consumer's opportunity set changes when the price of good X increases to $ 20. How does this change alter the market rate of substitution between goods X and Y?