A company opens two new branches A and B in 2010. A and B make yearly profits in lakhs as P 1 ( y ) = 10 y − y 2 and P 2 ( y ) = y 2 − 6 y respectively, where y is the number of years after opening the branch. Let loss be represented as − v e of profit. Then choose the correct set of options from the following.
Answers
Step-by-step explanation:
A company opens two new branches A and B in 2010. A and B make yearly profits in lakhs as P 1 ( y ) = 10 y − y 2 and P 2 ( y ) = y 2 − 6 y respectively, where y is the number of years after opening the branch. Let loss be represented as − v e of profit. Then choose the correct set of options from the following.
Answer:
The range of profit made by branch B for the first 9 years is [-9, 27]
The range of profit made by branch A for the first 10 years is [0,25]
in 2018, both companies made the same profit
Going by the trajectory of branch A, 2020 is the suitable time to shut down the branch for avoiding a loss
Step-by-step explanation:
Year A B
1 9 -5
2 16 -8
3 21 -9
4 24 -8
5 25 -5
6 24 0
7 21 7
8 16 16
9 9 27
10 0 40