Class 12 Exam > Class 12 Questions > Manufacturer can sell x items at a price of R...
Start Learning for Free
Manufacturer can sell x items at a price of Rs(5-(x/100)) each. The cost price is Rs ((x/5) 500).Then, find the number of items he should sell for maximum profit.
PS: I believe question is wrong as profit is negative?
PS: I believe question is wrong as profit is negative?
Most Upvoted Answer
Manufacturer can sell x items at a price of Rs(5-(x/100)) each. The co...
Given:
- The selling price of each item is Rs(5-(x/100)).
- The cost price is Rs ((x/5) 500).
We need to find the number of items the manufacturer should sell for maximum profit.
Calculating the Profit:
To calculate the profit, we need to subtract the cost price from the selling price.
Profit = Selling Price - Cost Price
Calculating the Selling Price:
The selling price of each item is given by Rs(5-(x/100)).
Calculating the Cost Price:
The cost price is given by Rs ((x/5) 500).
Substituting the Selling Price and Cost Price in the Profit formula:
Profit = (5 - (x/100)) - ((x/5) 500)
Simplifying the Profit formula:
Profit = (5 - (x/100)) - (100x/5)
Profit = 5 - (x/100) - 20x
Profit = 5 - x/100 - 20x/1
Combining the like terms:
Profit = 5 - (20x + x)/100
Profit = 5 - 21x/100
Finding the Maximum Profit:
To find the maximum profit, we need to find the value of x that maximizes the profit function.
To do that, we can take the derivative of the profit function with respect to x and set it equal to zero.
d(Profit)/dx = 0
Taking the derivative of the profit function:
d(5 - 21x/100)/dx = 0
-21/100 = 0
Solving the equation, we get:
-21/100 = 0
Since the derivative is a constant, it can never be equal to zero. Therefore, there is no maximum profit for this function.
Conclusion:
Based on the given information, it seems that there is an error in the question. The provided profit function does not have a maximum as the derivative is a constant. It is possible that there is a mistake in the given equations or the problem statement itself.
- The selling price of each item is Rs(5-(x/100)).
- The cost price is Rs ((x/5) 500).
We need to find the number of items the manufacturer should sell for maximum profit.
Calculating the Profit:
To calculate the profit, we need to subtract the cost price from the selling price.
Profit = Selling Price - Cost Price
Calculating the Selling Price:
The selling price of each item is given by Rs(5-(x/100)).
Calculating the Cost Price:
The cost price is given by Rs ((x/5) 500).
Substituting the Selling Price and Cost Price in the Profit formula:
Profit = (5 - (x/100)) - ((x/5) 500)
Simplifying the Profit formula:
Profit = (5 - (x/100)) - (100x/5)
Profit = 5 - (x/100) - 20x
Profit = 5 - x/100 - 20x/1
Combining the like terms:
Profit = 5 - (20x + x)/100
Profit = 5 - 21x/100
Finding the Maximum Profit:
To find the maximum profit, we need to find the value of x that maximizes the profit function.
To do that, we can take the derivative of the profit function with respect to x and set it equal to zero.
d(Profit)/dx = 0
Taking the derivative of the profit function:
d(5 - 21x/100)/dx = 0
-21/100 = 0
Solving the equation, we get:
-21/100 = 0
Since the derivative is a constant, it can never be equal to zero. Therefore, there is no maximum profit for this function.
Conclusion:
Based on the given information, it seems that there is an error in the question. The provided profit function does not have a maximum as the derivative is a constant. It is possible that there is a mistake in the given equations or the problem statement itself.
|
Explore Courses for Class 12 exam
|
|
Similar Class 12 Doubts
Manufacturer can sell x items at a price of Rs(5-(x/100)) each. The cost price is Rs ((x/5) 500).Then, find the number of items he should sell for maximum profit.PS: I believe question is wrong as profit is negative?
Question Description
Manufacturer can sell x items at a price of Rs(5-(x/100)) each. The cost price is Rs ((x/5) 500).Then, find the number of items he should sell for maximum profit.PS: I believe question is wrong as profit is negative? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Manufacturer can sell x items at a price of Rs(5-(x/100)) each. The cost price is Rs ((x/5) 500).Then, find the number of items he should sell for maximum profit.PS: I believe question is wrong as profit is negative? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Manufacturer can sell x items at a price of Rs(5-(x/100)) each. The cost price is Rs ((x/5) 500).Then, find the number of items he should sell for maximum profit.PS: I believe question is wrong as profit is negative?.
Manufacturer can sell x items at a price of Rs(5-(x/100)) each. The cost price is Rs ((x/5) 500).Then, find the number of items he should sell for maximum profit.PS: I believe question is wrong as profit is negative? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Manufacturer can sell x items at a price of Rs(5-(x/100)) each. The cost price is Rs ((x/5) 500).Then, find the number of items he should sell for maximum profit.PS: I believe question is wrong as profit is negative? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Manufacturer can sell x items at a price of Rs(5-(x/100)) each. The cost price is Rs ((x/5) 500).Then, find the number of items he should sell for maximum profit.PS: I believe question is wrong as profit is negative?.
Solutions for Manufacturer can sell x items at a price of Rs(5-(x/100)) each. The cost price is Rs ((x/5) 500).Then, find the number of items he should sell for maximum profit.PS: I believe question is wrong as profit is negative? in English & in Hindi are available as part of our courses for Class 12.
Download more important topics, notes, lectures and mock test series for Class 12 Exam by signing up for free.
Here you can find the meaning of Manufacturer can sell x items at a price of Rs(5-(x/100)) each. The cost price is Rs ((x/5) 500).Then, find the number of items he should sell for maximum profit.PS: I believe question is wrong as profit is negative? defined & explained in the simplest way possible. Besides giving the explanation of
Manufacturer can sell x items at a price of Rs(5-(x/100)) each. The cost price is Rs ((x/5) 500).Then, find the number of items he should sell for maximum profit.PS: I believe question is wrong as profit is negative?, a detailed solution for Manufacturer can sell x items at a price of Rs(5-(x/100)) each. The cost price is Rs ((x/5) 500).Then, find the number of items he should sell for maximum profit.PS: I believe question is wrong as profit is negative? has been provided alongside types of Manufacturer can sell x items at a price of Rs(5-(x/100)) each. The cost price is Rs ((x/5) 500).Then, find the number of items he should sell for maximum profit.PS: I believe question is wrong as profit is negative? theory, EduRev gives you an
ample number of questions to practice Manufacturer can sell x items at a price of Rs(5-(x/100)) each. The cost price is Rs ((x/5) 500).Then, find the number of items he should sell for maximum profit.PS: I believe question is wrong as profit is negative? tests, examples and also practice Class 12 tests.
|
|
Explore Courses for Class 12 exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup