Answer:
<em>(D). x = 2 , y = - 5</em>
Step-by-step explanation:
A = - 8 + 48 = 40
= -76 + 156 = 80
= 104 - 304 = - 200
<em>x =</em> = <em>2</em>
<em>y =</em> = <em>- 5</em>
<u><em>( 2, - 5 )</em></u>
Thực hiện phép tính:5x^2(x-2)
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Answer:
The number of elephant ears that must be sold to maximize profit is 400.
Step-by-step explanation:
Given that,
The profit that a vendor makes per day is given by
P(x)= - 0.004x² +3.2 x -200
where x is number of elephant ears.
P(x)= - 0.004x² +3.2 x -200
Differentiating with respect to x
P'(x)= - 0.008x+3.2
Again differentiating with respect to x
P''(x) = -0.008
For maximum or minimum P'(x)=0
- 0.008x+3.2=0
⇒0.008x=3.2
⇒ x = 400
Since at x=400, P''(x)<0, the profit is maximize.
P(400) = -0.004×400²+3.2×400-200
=440
The number of elephant ears that must be sold to maximize profit is 400.