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1. The cumulative bar chart below gives us the production of four Products A, B, C and D for four years. It is known that the total production increases @20% over its value in the previous year. The difference between C's production in 2003 and A's production in 2001 is 2640 units.
Production of A, B, C and D.
If due to extra set up time required, the production in 2001 drops by 12.5% over that in 2000, what should be the growth rate of production in 2002 to maintain the compounded annual growth rate (CAGR) of 20% (Approx)?
Then,
0.2 × 17280 - 0.2 × 12000 = 1056
But this difference is given as 2640. Hence, the value of production will be; 25000, 30000, 36000, and 43200 respectively for the 4 years.
Growth rate of production
=
= 65% (approx)
Production of A, B, C and D.
If due to extra set up time required, the production in 2001 drops by 12.5% over that in 2000, what should be the growth rate of production in 2002 to maintain the compounded annual growth rate (CAGR) of 20% (Approx)?
Solution:
Assume the total production of the first year as 10000, second year becomes 12000, third year 14400 and fourth year 17280.Then,
0.2 × 17280 - 0.2 × 12000 = 1056
But this difference is given as 2640. Hence, the value of production will be; 25000, 30000, 36000, and 43200 respectively for the 4 years.
Growth rate of production
=
= 65% (approx)