Single plantwide factory overhead rate

Platzer Instruments Inc. makes three musical instruments: flutes, clarinets, and oboes. The budgeted factory overhead cost is $$110,880.$ Overhead is allocated to the three products on the basis of direct labor hours. The products have the following budgeted production volume and direct labor hours per unit:

$\backslash$table$[[,\backslash$table$[[$Budgeted$],[$Production$],[$Volume$]],\backslash$table$[[$Direct Labor$],[$Hours Per Unit$]]],[$Flutes$,2,300$ units,$0\mathrm{.}4],[$Clarinets$,400,1\mathrm{.}5],[$Oboes$,1,300,1\mathrm{.}2]]$

If required, round all per unit answers to the nearest cent.

a$.$ Determine the single plantwide overhead rate.

$$,$ per direct labor hour

b$.$ Use the overhead rate in $($a$)$ to determine the amount of total and per$-$unit overhead allocated to each of the three products,