Use the following utility function:
UA (f, g) = f0.8g0.2
The price of f is $2 per unit and g is $1 per unit. Consumer A's income equals $300.
a) Take the natural log of this function and calculate the problem again using the Langrange multiplier method. Is the answer the same as before? Explain.
b) Multiply the utility function by 10. Is the answer the same as the prior part? Explain.