Solve the newsperson problem.

Probability$0\mathrm{.}110\mathrm{.}180\mathrm{.}120\mathrm{.}190\mathrm{.}180\mathrm{.}22$Value$123456$

Purchase cost c $=20$

Selling price p $=30$

Salvage value v $=12$

What is the optimal order quantity?