Famous Face Dolls Company manufactures and sells custom dolls through a network of specialty stores. The face of each doll is hand$-$painted by a highly skilled craftsperson in the image of a popular public figure. Large dolls $(75-80$ cm$)$ sell for $$150$ each and have a unit variable cost of $$90.$ Each large doll requires $30$ minutes of painting time. Small dolls $(40-45$ cm$)$ sell for $$100$ and have a unit variable cost of $$64\mathrm{.}00.$ Each small doll requires $15$ minutes of painting time. Typical demand is $200$ large dolls and $500$ small dolls per month. Due to upcoming vacations, the amount of available face$-$painting time is limited to $180$ hours for the next month.

To achieve the greatest contribution margin within the stated constraints, Famous Face Dolls should manufacture:

Question $10$ Answer

a$.$

$400$ small dolls and $160$ large dolls

b$.$

$500$ small dolls and $110$ large dolls

c$.$

$500$ small dolls and $200$ large dolls

d$.$

$320$ small dolls and $200$ large dolls