TRUE$/$FALSE$.$ Write $\text{'}$T$\text{'}$ if the statement is true and $\text{'}$F$\text{'}$ if the statement is false$\mathrm{.}1)$A profit center is the responsibility center that isonlyresponsible for costs$\mathrm{.}1)2)$An example of management by exception occurs when a manager investigates a large variance in aperformance report to assign responsibility$\mathrm{.}2)3)$Decentralization allows top management to hire workers with expert knowledge in each businessunit.