Replica Products $($RP$)$ manufactures miniature models of airplanes, trains and

automobiles as promotional items for corporate customers. A newly formed airline

has approached RP to make $500$ models of its new livery $($logo design$)$ on a model

Boeing $737,$ which it will send to travel agencies to serve as a marketing tool. RPs

current per unit cost on Boeing $737$ models is direct materials $$9$; direct labour $$6$;

variable manufacturing overhead $$3$; fixed manufacturing overhead $$6.$ Such

models are normally priced at $$35\mathrm{.}00/$unit$.$ Incorporating the new airline's livery

into the production will require an additional cost of $$733.$ As the newly formed

airline is rather cash poor, it is asking RP to make this one$-$time production run for

$$\frac{27}{?}$ unit. Assuming RP has the capacity and other orders would not be affected,

how much total profit would RP earn from this special order?

a$.$ $$767$

b$.$ $$4,500$

c$.$ $$3,767$

d$.$ $$5,000$