1楼:匿名用户
求总收入
baidu, r(q) = 2q + 3/2*q^2 + c 。借助zhi r(0)=0 得到c = 0.所以,
总收入函dao数为
r(q) = 2q +1.5*q^2,
所以,平版均收入函数为r(q)/权q= 2+1.5*q
六、已知某产品的边际成本函数和边际收益函数分别为:c'(q)=3+1/3q(万元/百台)r'(q)
2楼:匿名用户
^1、c'(q)=3+1/3q
c(q)=∫
duc'(q)
=∫(3+1/3q)dq
=3q+1/6q^zhi2+c(0)
=3q+1/6q^2+1
总成本函数:daoc(q)=3q+1/6q^2+1r(q)=∫r'(q)
=∫(7-q)dq
=7q-1/2q^2+0
总收益函数:r(q)=7q-1/2q^2
l(q)=r(q)-c(q)
=7q-1/2q^2-(3q+1/6q^2+1)=-2/3q^2+4q-1
总利润函数:l(q)=-2/3q^2+4q-12、l(q)=-2/3q^2+4q-1
=-2/3(q^2-6q+9)-1+9
=-2/3(q-3)^2+8
当产回量q=3百台时答
,利润最大为:8万元