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生产x个某种产品的边际收人函数为MR=100/(x+100)
2
+4000.求:(1)生产x个单位时的总收人函数;(2)该产品相应的价格.
分类:
高等数学(一)(00020)
发表:2024年09月10日 02时09分14秒
作者:
admin
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(11)
生产x个某种产品的边际收人函数为MR=100/(x+100)
2
+4000.求:(1)生产x个单位时的总收人函数;(2)该产品相应的价格.
【正确答案】:(1)总收入函数为:R=∫[100/(x+100)
2
+4000]dx=-[100/(1+100)]+4000x+R
0
,由x=0时,R=0,求出R
0
=1,所以R=1-(100)/(x+100)+4000x=x/(x+100)+4000x.(2)由R=px得价格为P=R/x=1/(x+100)+4000.
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