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Concept explainers
(a)
To express: the revenue
(a)
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Answer to Problem 5AYU
The expression of the revenue
Explanation of Solution
Given:
Explanations:
Here it is given that price
Solve it for
Divide both sides by
Now as it is given that Revenue
So
This is the model that express the Revenue
Conclusion:
Hence the expression of the revenue
(b)
To find: the revenue if15 units are sold
(b)
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Answer to Problem 5AYU
So, the required total revenue is
Explanation of Solution
Given:
Explanations:
When the quantity sold
Total Revenue is,
So, the required total revenue is
Conclusion:
So, the required total revenue is
(c)
To find: the maximum revenue and the quantity
(c)
![Check Mark](/static/check-mark.png)
Answer to Problem 5AYU
Maximum revenue is
Explanation of Solution
Given:
Explanations:
As the square term in the given function is negative that shows that its graph opens down or it has a maximum value at its vertex only. Now for the quadratic function
As
As in given function of Revenue.
Here,
So,
That shows that
Now the value of
Or
Maximum revenue is
Conclusion:
Hence,
(d)
To find:price charged by the company to maximize revenue?
(d)
![Check Mark](/static/check-mark.png)
Answer to Problem 5AYU
Hence, maximum revenue is achieved when each item is sold at the rate of
Explanation of Solution
Given:
Explanations:
As given that
Now as formula for calculating revenue is
Now divide both sides by
Or, maximum revenue is achieved when each item is sold at the rate of
Conclusion:
Hence, maximum revenue is achieved when each item is sold at the rate of
(e)
To find: price charged by the company to earn at least
(e)
![Check Mark](/static/check-mark.png)
Answer to Problem 5AYU
Thus, the company should charge between
Explanation of Solution
Given:
Explanations:
Now again as
Now for revenue to be at least
Now divide both sides by
Thus, the company should charge between
Conclusion:
Thus, the company should charge between
Chapter 3 Solutions
Precalculus
Additional Math Textbook Solutions
Calculus and Its Applications (11th Edition)
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