Question $5(20$ points$)$

Costs have been compiled for a certain manufacturing company for the most recent year. The summary is shown in the table below. The company operates two different manufacturing plants, plus a corporate headquarters. Determine:

a$)$ the factory overhead rate for Plant $1$

b$)$ the factory overhead rate for Plant $2$

c$)$ the corporate overhead rate

$\backslash$table$[[$Expense Category,Plant $1($$$),$Plant $2($$$),$Corporate Headquarters $($$$)],[$Direct Labor,$1,000,000,1,750,000,],[$Materials$,3,500,000,4,000,000,],[$Factory Expense,$1,300,000,2,300,000,],[$Corporate Expense,,,$5,000,000$