Suppose the Japanese yen exchange rate is $70\mathrm{.}47=$$$1,$ and the British pound exchange rate is $$1=$$$1\mathrm{.}50.$

$0.$ What is the cross$-$rate in terms of yen per pound?

Note: Do not include the yen sign $().$ Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$

b$.$ Suppose the cross$-$rate is $109=1.$ What is the arbitrage profit per dollar?

Note: Do not round intermediate calculations and round your answer to $4$ decimal places, e$.$g$.,32\mathrm{.}1616.$

$\backslash$table$[[$a$.$ Cross$-$rate$],[$b$.$ Arbitrage profit per dollar$]]$