For a single$-$period inventory problem, Cu$=$$$10$ and Co$=$$$5.$ The following is the discrete demand distribution:

demand $510152025$

Probaility $0\mathrm{.}10\mathrm{.}220\mathrm{.}360\mathrm{.}220\mathrm{.}1$

If the vendor orders $15$ units, what is the expected profit?