In: Economics
I ONLY NEED PARTS E, F, G!
5. Christina likes only spare ribs, R (measured in slabs), and fried chicken, C (measured in chickens). Her utility function is
U = 10RC2.
Christina has $600 income and she pays $5 for a slab of ribs and $10 for a chicken.
A. (2 points) Set up the Lagrangian for Christina's constrained utility maximization problem.
B. (9 points) Using differential calculus and algebra, find how much of each good she should buy if he wishes to maximize his utility subject to the constraints on her purchasing power using the Lagrangian method.
C. (2 points) What is the value and interpretation of the Lagrange multiplier for this problem?
D. (2 points) How much utility is attained with the original utility maximizing amounts of ribs and chicken?
E. (8 points) Suppose that the price of ribs increases to $10 per slab with the price of chicken and income constant. Find the new utility maximizing amounts of ribs and chicken. (You need not use the Lagrangian method)
F. (8 points) Determine the decomposition basket for the substitution effect due to the change in the price of ribs.
G. (4 points) Find the numerical values of the income and substitution effects of the change in the price of ribs measured in terms of slabs of ribs.