Question

A cottage industry produces a certain number of potteries in a day. It was found that the cost of production of each article RS. 5 more than twice the number of potteries produced in a day. If the cost of production on that day RS. 168, find the number of potteries produced.

Answer 1

Answer:

Number of articles = 8

Cost per article = 21

Step-by-step explanation:

Let the number of articles produced that day = n

Cost of production per article = 2n + 5

Total cost of production = n X (2n + 5) = 168

⇒ 2n² + 5n = 168

⇒ 2n² + 5n - 168 = 0

Solving the quadratic equation,

(2n + 21) X (n - 8) = 0

n = 8 OR n = $\frac{- 21}{2}$

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

n = 8

Cost per article = (2 X 8) + 5 = 21