最大利潤MR=MC
MR=20-2Q
MC=10+2Q
20-2Q=10+2Q
Q=2.5 , P=17.5
利潤=17.5 x 2.5 - (10 x 2.5 + 6.25)=12.5
獨占廠商 P > MR = MC
總成本TC=10Q+Q2
邊際成本 MC = 10 + 2Q
需求曲線 P=20-Q
總收入TR = P * Q = (20-Q) * Q = 20Q - Q2
邊際收入MR = 20 - 2Q
MR = MC = 10 + 2Q = 20 - 2Q
4Q = 10,Q = 2.5,P = 20-Q = 20 - 2.5 = 17.5
※ Q = 2.5,P = 17.5
TR = P * Q = 17.5 * 2.5 = 43.75
TC = 10Q+Q2 = 10*2.5 + (2.5)2 = 31.25
利潤 = TR - TC = 43.75 - 31.25 = 12.5
※ 利潤 = 12.5
只要記得 獨佔MR=MC
完競MR=MC=P
MR=MC MR=20-2Q MC=10+2Q 20-2Q=10+2Q 10=4Q Q=5/2 P=17.5 利潤=TR-TC = P*Q-10Q+Q^2 17.5*2.5-10*5/2+(5/2)^2
因為已知TC,故MC=dTC/dQ,用微分計算出MC=10+2Q
P=20-Q
TR=PxQ=(20-Q)Q=20Q-Q2
MR=20-2Q
(一) MR = 20 - 2Q;MC = 10 + 2Q → Q = 2.5, P = 17.5, π = 12.5