please tell this question it is very urgent
manufacturer of sports goods produced 10000 kits in 5 year 18000 in 9 year assuming the production increases uniformly by a fixed number every year
(a)find the production in 12 Year
(b) which year the production will be 28000
Answers
Answer:
(a) 24000
(b) 14th year
Step-by-step explanation:
Let the goods produced in 1st year be 'a' and increase in production be 'd'.
(i)
Given that goods produced in 5th year = 10000.
a + 4d = 10000.
(ii)
Given that goods produced in 9th year = 18000.
a + 8d = 18000.
On solving (i) & (ii), we get
a + 4d = 10000
a + 8d = 18000
----------------------
-4d = -8000
d = 2000.
Substitute d = 2000 in (i), we get
⇒ a + 4d = 10000
⇒ a + 4(2000) = 10000
⇒ a + 8000 = 10000
⇒ a = 2000.
(a)
Production in 12th year:
a + 11d
⇒ 2000 + 11(2000)
⇒ 2000 + 22000
⇒ 24000.
Therefore, Production in 12th year = 24000.
(b)
Let the year be n.
a + (n - 1) * d = 28000
⇒ 2000 + (n - 1) * 2000 = 28000
⇒ 2000 + 2000n - 2000 = 28000
⇒ 2000n = 28000
⇒ n = 28000/2000
⇒ n = 14.
Therefore, In 14th year the production will be 28000.
Hope it helps!