急求解两道微观经济学题目~~~答出有追加！！！！！

来源：百度知道 编辑：UC知道 时间：2024/06/11 06:47:38
1.A budget motel chain owns hotels in Australia and New Zealand. The marginal cost for hotel rooms is a constant $20 per unit in both countries. The company has fixed costs of $500. (All monetary values are in Australian dollars.) The (inverse) demand for rooms in
Australia is:
pA = 100 − qA
and in New Zealand it is:
pN = 50 − 0.5qN.

(a) Derive the marginal revenue curves for Australia and New Zealand. [2 marks]
(b) Assuming that the firm is able to price-discriminate, find the profit-maximizing output levels for Australia and New Zealand.

2.The only bakery in a small town has a market demand curve given by:
P = 10 − 0.01Q
where P is the price of a loaf of bread and Q is the quantity demanded. The bakery has
a constant marginal cost of 4 per loaf, i.e., MC = ATC = 4.
(a) Solve for the bakery’s marginal revenue. Determine its output and price. [4 marks]
(b) Determine the profit of the bakery.

1. (a)Because these demand curves are linear,
so the marginal revenue curve for Australia is,
MRA=100-2qA
and the marginal revenue curve for New Zealand is,
MRN=50-qN
(b)If the firm is able to price-discriminate, that means P=MC. So pA =100−qA=20, then qA=80, this is the profit-maximizing output level for Australia. And pN=50−0.5qN=20, so qN=60, this is the profit-maximizing output level for New Zealand.

2. (a) It is similar to the last problem, so the marginal revenue curve is,
MR=10-0.02Q,
Accoring to MR=MC, 10-0.02Q=4, so,
Q=300, P=7.
(b)profit=TR-TC=PQ-TC=300*7-4*300=900.
(c)If the price is $5, so 5=10-0.01Q, then Q=500, that means there will be 500 not 300 loaves of bread will sell now, so,
profit=TR1+TR2-TC=P1*Q1+P2*Q2-TC=3*7+497*5-4*500=506