economic questions...please help

2007-05-06 9:19 am
A broking firm is a monopolistic producer of two transactions. The prices are related to quantities Q(1) and Q(2) according to the demand equations
P(1)=50-Q(1)
P(2)=95-3Q(2)

If the total cost function is
TC=Q(1)^2 + 3Q(1)Q(2)+ Q(2)^2


find values of Q(1) and Q(2) which maximize profit and deduce the corresponding equilibrium prices.

回答 (1)

2007-05-06 11:01 am
✔ 最佳答案
∂TC/∂Q(1) = 2Q(1) + 3Q(2) = 0 --- (i)
∂TC/∂Q(2) = 3Q(1) + 2Q(2) = 0 --- (ii)

3(i) - 2*(ii) implies Q(2) = 0 and substituting into equation (i) and solving for Q(1) gives this value of Q(1) :
Q(1) = 0

Therefore,
P(1) = 50
P(2) = 95

PS: no production is better because it is a broking firm
參考: me


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