$(4$ points$)$ XYZ Corporation is considering building a large or anall crows$-$dock thectity for the of fre yars of production. If they build a small facility, the operating costs will be $$250,000$ peryear if the exchange rate is favorable and $$400,000$ per year if the exchange rate is unfavorable. Aor a large facility, the operating costs will be $$450,000$ per year if the exchange rate is favorable and $$600,000$ per year if the exchange rate is unfavorable, XYZ Corporation extimates that the probability of a favorable exchange rate is $0\mathrm{.}6.$ Determine the expected cost of operating the large and small facility for the next two years.