Cooper's Bags Company manufactures cloth grocery bags to be sold to grocery stores and other retailers. Cooper's Bags Company sells the bags in cases of $700$

bags. The bags come in three sizes: Large, Medium, and Small. Currently, Cooper's Bags Company uses a single plant $-$ wide overhead rate to allocate its

$$8,616,000$ of annual manufacturing overhead. Of this amount, $$2,200,000$ is associated with the Large Bag line, $$3,416,000$ is associated with the Medium

Bag line, and $$3,000,000$ is associated with the Small Bag line. Cooper's Bags Company is currently running a total of $40,000$ machine hours: $14,000$ in the Large

Bag line, $14,700$ in the Medium Bag line, and $11,300$ in the Small Bag line. Cooper's Bags Company uses machine hours as the cost driver for manufacturing

overhead costs.

The plant $-$ wide manufacturing overhead rate would be closest to $($Round your final answer to the nearest cent.$)$

A$.$ $$232\mathrm{.}38$ per machine hour.

B$.$ $$215\mathrm{.}40$ per machine hour.

C$.$ $$55\mathrm{.}00$ per machine hour.

D$.$ $$157\mathrm{.}14$ per machine hour.