1. Andrew has a constant elasticity of substitution (CES) utility function,
U(x1, x2) = where and
Determine Andrew’s optimal bundle (x1, x2) in terms of his income m and prices of the two goods, p1 and p2.
2. Lynn has a Cobb-Douglas utility function
U(x1, x2) =
What share of her budget does she spend on x1 (recorded music tracks) and x2 (live music) in terms of her income m = $30, prices of the two goods, p1 = $0.5 and p2= $1?
3. Celine’s quasilinear utility function is
Her budget for these two goods is $10. Originally the prices are p1 = p2 = $1. However, the price of the first good rises to $2. Determine the substitution, income and total effect of this price change on the demand for x1.
If Ernie produced and Bert consumed one fewer bottle of water, what would happen to total surplus?
Consider an Economy in its medium run equilibrium. Now suppose that the government passes a stricter law against the exercise of market power leading to decline in mark-up over wages. Explain using IS-LM and AD-AS curves how it will affect price level, interest rate and output in the short run and in the medium run.