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A cottage industry produces a certain number of pottery articles in a day. It was observed on a particular day that the cost of each article (in ₹) was 2 more than thrice the number of articles produced on that day. If the total cost of production on that day was ₹ 800, the number of articles produced was?
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A cottage industry produces a certain number of pottery articles in a ...
Problem Statement:
A cottage industry produces a certain number of pottery articles in a day. It was observed on a particular day that the cost of each article (in ₹) was 2 more than thrice the number of articles produced on that day. If the total cost of production on that day was ₹ 800, the number of articles produced was? Explain in details.
Solution:
Let us assume that the number of articles produced in a day be x and the cost of production of each article be y.
Given, the cost of each article is 2 more than thrice the number of articles produced on that day.
Therefore, y = 3x + 2.
Also, the total cost of production on that day was ₹ 800.
Therefore, xy = 800.
Substituting the value of y in the above equation, we get:
x(3x + 2) = 800
Expanding the above equation, we get:
3x² + 2x - 800 = 0
Using the quadratic formula, we get:
x = (-2 ± √(2² + 4(3)(800))) / (2(3))
x = (-2 ± √(6404)) / 6
x = (-2 ± 80) / 6
Therefore, x = 13.33 or x = -4.33.
As the number of articles produced cannot be negative, the number of articles produced in a day is 13.
Answer:
The number of articles produced in a day is 13.
Community Answer
A cottage industry produces a certain number of pottery articles in a ...
Total cost = variable coat + fixed cost
so as per question let articles produced to be x
now
800= 2 + 3x
so x=266
so as per question let articles produced to be x
now
800= 2 + 3x
so x=266
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A cottage industry produces a certain number of pottery articles in a day. It was observed on a particular day that the cost of each article (in ₹) was 2 more than thrice the number of articles produced on that day. If the total cost of production on that day was ₹ 800, the number of articles produced was?
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A cottage industry produces a certain number of pottery articles in a day. It was observed on a particular day that the cost of each article (in ₹) was 2 more than thrice the number of articles produced on that day. If the total cost of production on that day was ₹ 800, the number of articles produced was? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about A cottage industry produces a certain number of pottery articles in a day. It was observed on a particular day that the cost of each article (in ₹) was 2 more than thrice the number of articles produced on that day. If the total cost of production on that day was ₹ 800, the number of articles produced was? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cottage industry produces a certain number of pottery articles in a day. It was observed on a particular day that the cost of each article (in ₹) was 2 more than thrice the number of articles produced on that day. If the total cost of production on that day was ₹ 800, the number of articles produced was?.
A cottage industry produces a certain number of pottery articles in a day. It was observed on a particular day that the cost of each article (in ₹) was 2 more than thrice the number of articles produced on that day. If the total cost of production on that day was ₹ 800, the number of articles produced was? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about A cottage industry produces a certain number of pottery articles in a day. It was observed on a particular day that the cost of each article (in ₹) was 2 more than thrice the number of articles produced on that day. If the total cost of production on that day was ₹ 800, the number of articles produced was? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cottage industry produces a certain number of pottery articles in a day. It was observed on a particular day that the cost of each article (in ₹) was 2 more than thrice the number of articles produced on that day. If the total cost of production on that day was ₹ 800, the number of articles produced was?.
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