How do you find a surface area of a rectangular prism?
1 answer:
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Answer: 387.93 units
Step-by-step explanation:
You have the following information given in the problem above:
- The sales had dropped 33% from one quarter to the next.
- The owner sold 579 units in the first quarter.
Thefore, to calculate the number of units she sold in the next quarter (which you can call x), you must can apply the following proccedure:
Then the answer is the following:
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.