某企业投资100万元引进一条生产线,若不计保养,维修费,预计投产后每年可获利33万

2024-12-13 03:35:54
推荐回答(5个)
回答1:

(1)把x=1,y=2和x=2,y=4代入y=ax方+bx,得到一个方程组,解得,a=0,b=2,所以y=2x
(2)第x年实际上得到的钱是33x,保养费总计2x,所以获利33x-2x=31x只要它大于等于100就行了,容易知道x最小为4

回答2:

(1)由题意,
x=1时,y=2+4=6,分别代入 y=ax2+bx,得解得
所以y=x²+x

(2)设
g=33x-100-x2-x
则g=-x2+32x-100=-(x-16)2+156
由于当
1<=x<=16时,g随x的增大而增大,且当x=1,2,3时,
g的值均小于0,当x=4时,
g=-12^2+156>0
可知投产后该企业在第4年就能收回投资

回答3:

解:(1)当x=2时,y=2+4=6(万元);
(2)由x=1,y=2;x=2,y=6分别代入
得:
a+b=24a+2b=6
解得:
a=1b=1
∴y=x2+x.
(3)设第x年的盈利为w万元,则w=33x-y-100
∴w=33x-(x2+x)-100
∴w=-x2+32x-100,
当w=56时得:-x2+32x-100=56
∴x1=6,x2=26
答:投资生产6年后,该企业可盈利56万元.

回答4:

解:(1)当x=2时,y=2+4=6(万元);
(2)由x=1,y=2;x=2,y=6分别代入
得:

a+b=2
4a+2b=6

解得:

a=1
b=1

∴y=x2+x.
(3)设第x年的盈利为w万元,则w=33x-y-100
∴w=33x-(x2+x)-100
∴w=-x2+32x-100,
当w=56时得:-x2+32x-100=56
∴x1=6,x2=26
答:投资生产6年后,该企业可盈利56万元.

回答5:

y=x²+x
4年

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