Solve the newsvendor problem.

$\backslash$table$[[$Probability$,0\mathrm{.}24,0\mathrm{.}14,0\mathrm{.}10,0\mathrm{.}23,0\mathrm{.}13,0\mathrm{.}16],[$Value$,1,2,3,4,5,6]]$

Purchase cost $c=37$

Selling price $p=45$

Salvage value $v=20$

What is the optimal order quantity?

Optimal order quantity