YLL討論網

感謝guevara4900幫忙,謝謝!!

raytso 寫到:<DIV><DIV>問題二:</DIV><DIV>一產品的需求函數為Q=65-5p。總固定成本為$30,原料成本為$2。</DIV><DIV>a.找出總收入及總成本函數</DIV><DIV>b.以數學方法找出當生產達至某一數量而不產生任何利潤的平衡點(break-even point)</DIV></DIV>

#ed_op#DIV#ed_cl##ed_op#DIV#ed_cl#(a)#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#總收入=P*Q=65P-P#ed_op#SUP#ed_cl#2#ed_op#/SUP#ed_cl##ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#總成本=30+2P#ed_op#/DIV#ed_cl##ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl# #ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl##ed_op#DIV#ed_cl#(b)#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#總收入=總成本#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#65P-P#ed_op#SUP#ed_cl#2#ed_op#/SUP#ed_cl#=30+2P#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#P#ed_op#SUP#ed_cl#2#ed_op#/SUP#ed_cl#-63P+30=0#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl##ed_op#SPAN class=TEXT style="FONT-SIZE: 12pt"#ed_cl#P=[63+#ed_op#SPAN class=TEXT style="FONT-SIZE: 12pt"#ed_cl#√(3369)]/10 或 [63-#ed_op#SPAN class=TEXT style="FONT-SIZE: 12pt"#ed_cl#√(3369)]/10 #ed_op#/SPAN#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl##ed_op#SUP#ed_cl# #ed_op#/DIV#ed_cl##ed_op#/DIV#ed_cl##ed_op#/SUP#ed_cl#

raytso 寫到:<DIV>問題二:</DIV><DIV>一產品的需求函數為Q=65-5p。總固定成本為$30,原料成本為$2。</DIV><DIV>a.找出總收入及總成本函數</DIV><DIV>b.以數學方法找出當生產達至某一數量而不產生任何利潤的平衡點(break-even point)</DIV></DIV>

#ed_op#DIV#ed_cl#(a)#ed_op#DIV#ed_cl##ed_op#DIV#ed_cl#總收入=P*Q=65P-P#ed_op#SUP#ed_cl#2#ed_op#/SUP#ed_cl##ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#總成本=30+2P#ed_op#/DIV#ed_cl##ed_op#/DIV#ed_cl##ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl# #ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#(b)#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl##ed_op#DIV#ed_cl#沒有利潤#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#總收入=總成本#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl##ed_op#DIV#ed_cl##ed_op#DIV#ed_cl##ed_op#DIV#ed_cl#65P-5P#ed_op#SUP#ed_cl#2#ed_op#/SUP#ed_cl#=30+2P#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl##ed_op#DIV#ed_cl#5P#ed_op#SUP#ed_cl#2#ed_op#/SUP#ed_cl#-63P+30=0#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#P=[63+(3369)#ed_op#SUP#ed_cl#0.5#ed_op#/SUP#ed_cl#]/10 或 [63-(3369)#ed_op#SUP#ed_cl#0.5#ed_op#/SUP#ed_cl#]/10#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl# #ed_op#/DIV#ed_cl##ed_op#/DIV#ed_cl##ed_op#/DIV#ed_cl##ed_op#/DIV#ed_cl##ed_op#/DIV#ed_cl##ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl##ed_op#/DIV#ed_cl#

另希望各位大大繼續幫忙研究一下"問題2",多謝!!

謝謝"aaddfg"熱心幫忙,感激!!!!!!

1.a
Y=a(X-20)^2+10000......(a<0)
X=0時Y=0
0=a*400+10000
a=-25
1.b
0=-25(X-20)^2+10000
X-20=20或-20
X=40或0