初三 数学应用题 100
1个回答
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1、(1)涨价:y=300-10(x-50)
y=800-10x (50<x<80)
(2)降价:y=300+20(50-x)
y=1300-20x(40<x<50)
2、(1)涨价:
W=(X-40)[300-10(x-50)]
W=-10x²+1200x-32000
(2)降价:
W=(50-x)[300+20(50-x)]
W=20x²-2300x+65000
3、(1)涨价:
W=-10x²+1200x-32000
=-10(X²-120X+3600)+4000
=-10(X-60)²+4000
X=60时,有最大值4000
∵x≤56 (40+40×40%=56元)
∴x=56的利润:
W=-10(56-60)²+4000
=3840元
(2)降价:
W=20x²-2300x+65000
=20(x²+115x+13335/4)-66125+65000
=20(x+115/4)²-1125
无最大值,
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