Q32Multiple correct5 Marks10 Jul 2022

Sandhya launches her new company in the year 2010, which makes yearly profit in lakhs as the polynomial function $z(x)=0.1x^2(x-1)(x-2)(x-3)^2(x-4)(x-9)$ for the first 12 years since the launch, where $x$ is the number of years since 2010. Let the loss be represented as negative profit. Which of the following options are correct?

A

Including the year in which the company was launched, it neither made profit nor loss six times in 12 years.

B

The company made profit in years $x\in\{7,8,10,11\}$.

C

The company made loss in years $x\in\{5,6,7,8\}$.

D

In the year 2022 (i.e., $x=12$) the company made profit.