Question

A cottage industry produces a certain number of potteries in a day. It was found
that the cost of production of each article was 5 more than twice the number of
s* 168, find
potteries produced in a day. If the cost of production on that day was
the number of potteries produced.
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Answer 1

Hope it's useful

Answer 2

Answer:

$\huge \mathcal \colorbox{lavender}{ \pink{Question}}$

A cottage industry produces a certain number of potteries in a day. It was found

that the cost of production of each article was 5 more than twice the number of

s* 168, find

potteries produced in a day. If the cost of production on that day was

the number of potteries produced.

$\huge\fcolorbox {yellow}{orange}{Answer}$

Let there be x articles.

Then the production cost of each article =3+2x

Total production cost

=x(3+2x)=90

So, number of articles =6 and the cost of

➡${3x + 2x}^{2} = 90$

➡${2x }^{2} + 3x - 90 = 0$

➡${2x}^{2} + 15x - 12x - 90 = 0$

➡$2x(x - 6) + 15(x - 6) = 0$

➡$(2x + 15)(x - 6) = 0$

➡$x = 6 - \frac{15}{2}$

Number cannot be negative.

So, number of articles =6 and the cost of each article =Rs.15