1,设利润为Y(Q)=R(Q)-C(Q)=-2/3Q^3+10Q^2-32Q-3,
Y'=-2Q^2+20Q-32,
l令Y'=0,得Q1=2,Q2=8,
由题意的Q>=0,所以[0,2),(8,+无穷)为减区间,(2,8]为增区间,当Q=8时,Ymax=39.67,
产出水平8,价格4,利润39.67
2,由题意的Q>=0,
每件平均成本=C/Q=1/2Q+36+9800/Q>=36+2根号下(1/2Q * 9800/Q)=36+140=176,
当且仅当1/2Q =9800/Q,即Q=140时,每件成本价格最低为176