$4.$ Individual Problems $14-1$

Suppose Mattel, the producer of Barbie dolls and accessories $($sold separately$),$ has two types of consumers who purchase its dolls: low$-$value consumers and high$-$value consumers. Each of the low$-$value consumers tends to purchase one doll and one accessory, with a total willingness to pay of $$72.$ Each of the high$-$value consumers buys one doll and two accessories and is willing to pay $$139$ in total.

Mattel is currently considering two pricing strategies:

$$Strategy $1$: Sell each doll for $$36$ and each accessory for $$36$Strategy $2$: Sell each doll for $$5$ and each accessory for $$67$