a cottage industry produces a certain number of trees in a day it was found that the cost of production of each article was 5 rupees more than twice the number of potteries produced in a day it the cost of production on that day was rupees 168 find the number of potteries produced
Answers
Step-by-step explanation:
Answer
Let there be x articles.
Then the production cost of each article =3+2x
Total production cost =x(3+2x)=90
3x+2x2=902x2+3x−90=02x2+15x−12x−90=02x(x−6)+15(x−6)=0(2x+15)(x−6)=0x=6,−215
Number cannot be negative.
So, number of articles =6 and the cost of each article =Rs.15
Answer:
The number of trees produced in a day is 8
Step-by-step explanation:
Let the number of trees produced in a day be 'x'
the cost of one pot = (5+2x)
From the given condition,
x( 5+2x ) = 168
5x + 2x² = 168
2x²+5x - 168 = 0
2x² - 16x + 21x - 168 = 0
2x( x - 8 ) + 21( x - 8 ) = 0
( x - 8 ) ( 2x - 21 ) = 0
( x - 8 ) = 0 OR ( 2x + 21 ) = 0
x = 8 2x = -21
x = -21/2
But x = -21/2 is unacceptable as the number of trees cannot be ( -ve )
x = 8
Therefore, the number of trees produced in a day is 8
HOPE IT WILL HELP YOU
PLEASE MARK ME AS A BRAINLISTS