Question

A manufacturre of TV sets produced 6000 units in the third year and 7000 units in the seventh year. Assuming that the production increases uniformaly by fixed number every year, find the production increases uniformly, by a fixed number every year, find the production (i) in the first year, (ii) in the 10th year, (iii) in 7 years.

Answer 1

Correct Answer - (i) 5500 (ii) 7750 (iii) 43750
Let th productionin first year be a,w increasing uniformly at the rate of d per year.
Then,
a+2d = 6000 and a+6d = 7000
On solving , we get a = 5500 and d = 250
(i) production in the 1st year =a=5500
(ii) production in the 10th year = (a+9d) = ( 5500 + 9 xx 250)
(iii) production in 7 years = `7/2 xx [2a +(7-1) d] 7/2 xx [2 xx 5500 +6xx 250]`