b$)$ A new processing machine is available for Center $1$ that will increase the output to $1,900($Center One new output$)$ pieces a day, but this will increase an additional cost, which will be an overhead cost of $$175\mathrm{.}00$ per day. A&K will only install the new processing machine if it increases the multifactor productivity of Center $1$ by at least $10\%.$ Should A&K install the new processing machine? Justify your answer. Also, what is the percentage change in the multifactor productivity performance?

Before and after comparison formula

New productivity $$ old productivity$/$ old productivity $*100$

Before Multifactor