A company manufactures a product in the United States and sells it in England. The unit cost of manufacturing is $$52.$ The current exchange rate $($dollars per pound$)$ is $1\mathrm{.}213.$ The demand function, which indicates how many units the company can sell in England as a function of price $($in pounds$)$ is of the power type, with constant $27556733$ and exponent $-2\mathrm{.}5.$ A$)$ Develop a model for the company's profit $($in dollars$)$ as a function of the price it charges $($in pounds$).$ Then use a data table to find the profit$-$maximizing price to the nearest pound. Assume that the price ranges from $45$ to $100$ in increments of $1.$ Round your answer for the maximum profit to the nearest dollar and your answer for the best price to the nearest pound. Maximum profit: $$\_\_\_\_\_\_$

Best price: $\_\_\_\_\_\_$