Question

5. A cottage industry produces a certain number of pottery articles in a day. It was observed
on a particular day that the cost of production of each article (in rupees) was 3 more than
twice the number of articles produced on that day. If the total cost of production on that
day was ? 90, find the number of articles produced and the cost of each article.​

Answer 1

Answer:

Number of articles = 6

Cost per article = 15

Step-by-step explanation:

Let the number of articles produced that day = n

Cost of production per article = 2n + 3

Total cost of production = n X (2n + 3) = 90

⇒ 2n² + 3n = 90

⇒ 2n² + 3n - 90 = 0

Solving the quadratic equation,

(2n + 15) X (n - 6) = 0

n = 6 OR n = $\frac{- 15}{2}$

Since, the number of articles produced cannot be a fraction.

n = 6

Cost per article = (2 X 6) + 3 = 15

Answer 2

Answer:

It is the correct answer.

Step-by-step explanation:

Hope this attachment helps you.