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: k=-6
-6=k+0
Step-by-step explanation:
What we know:
-volume of 10,000 drops is 10 fluid ounces
Step 1: Divide 10,000 by 10 (to find how much we need to divide 10 by to get our answer)
10,000/10=1,000
Step 2: Divide 10 by 1,000 (to find our answer)
10/1,000=0.01
Our answer is 0.01. The volume of 10 drops of liquid is 0.01 fluid ounces.
Yes it is when you graph it it makes a linear line