Consider a firm that sells its product in both the U$.$S$.$ and the U$.$K$.$ U$.$S$.$ demand is $11,000$ units, and the U$.$S$.$ production capacity is $16,000$ units. Demand in the U$.$K$.$ is $10,000$ units, and the U$.$K$.$ production capacity is $12,000$ units. Production cost in the U$.$S$.$ is $$3\mathrm{.}8,$ and production cost in the U$.$K$.$ is $6.$ The current exchange rate is $$1\mathrm{.}22=1.$ The shipping cost is $$1\mathrm{.}1$ per unit for any units shipped between the two countries. Sales prices equate to $$105$ in each country.

a$)$ How many should be made in each country?

b$)$ How much is the profit for each country?

U$.$S$.$ Profit $=$$$,($round your response to the nearest dollar$).$

U$.$K$.$ Profit $=$$$,($round your response to the nearest dollar$).$