Question

某企业的成本和收益函数分别为C=1100+5Q+1/10Q^2,R=200Q+1/20Q^2

Answer 1

C=1100+5Q+1/10Q^2,R=200Q+1/20Q^2 应该是 C=1100+5Q+(1/10)Q^2,R=200Q+(1/20)Q^2 吧?

利润P=R-C=-1100+195Q-(1/20)Q^2

1）边际成本C'=5-(1/5)Q

边际收益R'=200+(1/10)Q

边际利润P'=195-(1/10)Q

2）P(26)-P(25)=195-(1/20)51=193.45

3）最大利润 => 边际利润=0 => Q=1950