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.
Answer:
55.2° ≤ c ≤ 55.8°
Step-by-step explanation:
We know a + b + c = 180
Let's take the smallest value of a and b and find largest value of c:
51.3 + 72.9 + c = 180
c = 55.8
Now,
Let's take the largest value of a and b and find smallest value of c:
51.5 + 73.3 + c = 180
c = 55.2
Thus, we can say, range of c is:
55.2° ≤ c ≤ 55.8°
Answer:
N=-13
Step-by-step explanation:
Answer:
Length of diagonal of the rectangle=
√( length) ²+( breadth) ²
=√(20) ²+(12) ²
=√400+144
√544 m
. '. Length of fence= √544 m
Perimeter of the triangle formed by the diagonal of the rectangle =(12+20+√544)
=(32+√544) m