$.$ Why do we consider a business$-$cycle expansion different from long$-$run economic growth? Why do we care about the size of the long$-$run growth rate of real GDP relative to the size of the growth rate of the population?

Country $20072019$

Price of Big Mac $($in local currency$)$ Price of Big Mac $($in U$.$S$.$ dollars$)$ Price of Big Mac $($in local currency$)$ Price of Big Mac $($in U$.$S$.$ dollars$)$

Argentina peso$8\mathrm{.}25$ $$2\mathrm{.}65$ peso$120\mathrm{.}0$ $$2\mathrm{.}87$

Canada C$$3\mathrm{.}63$ $$3\mathrm{.}08$ C$$6\mathrm{.}77$ $$5\mathrm{.}16$

Euro area $2\mathrm{.}94$ $$3\mathrm{.}824\mathrm{.}08$ $$4\mathrm{.}58$

Japan $280$ $$2\mathrm{.}31390$ $$3\mathrm{.}59$

United States US$$3\mathrm{.}22$ $$3\mathrm{.}22$ US$$5\mathrm{.}74$ $$5\mathrm{.}74$

a$)$ Where was it cheapest to buy a Big Mac in U$.$S$.$ dollars in $2007?$

b$)$ Where was it cheapest to buy a Big Mac in U$.$S$.$ dollars in $2019?$

c$)$ Using the increase in the local currency price of the Big Mac in each country to measure the percent change in the overall price level from $2007$ to $2019,$ which nation experienced the most inflation? Did any of the nations experience deflation?