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katrin2010 [14]
4 years ago
8

the length of a rectangle is 6 meters more than its width. if the area of the rectangle is 135 square meters, find its dimension

s
Mathematics
1 answer:
Ira Lisetskai [31]4 years ago
5 0
Length is 15 and width would be 9
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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

\Rightarrow x=\frac{3.2}{0.008}

⇒ x = 400

P''(x)|_{x=400} = -0.008

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.

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3 years ago
(NEED ASAP PLEASE ILL MAKE YOU BRAINLIEST ANSWER (don’t give me the 0.2 units cause this is not the right math problem for that)
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