Suppose on $4/9/2024$ a U$.$S$.$ MNC wishes to minimize the $ payable for Mex $$50,000,000$ it will pay in $4$ months. The U$.$S$.$ MNC is concerned that the Mex $ will increase in value relative to the $ and the U$.$S$.$ MNC will end up paying more in $$\text{'}$s$.$ Answer the following questions on how the U$.$S$.$ MNC would set up a futures hedge? Assume the hedge is set up at time $t.($Initial margin is $$1,430/$contract; Maintenance margin is $$1,\frac{300}{?}$ contract$).$ The closing prices are below:

$\backslash$table$[[($contract size $=$ Mex $$500,000,],[\frac{4}{9}\frac{?}{24(t)},$$$\frac{0\mathrm{.}05026}{?}$ Mex$$],[\frac{4}{10}\frac{?}{24(t+1)},$$$\frac{0\mathrm{.}05003}{?}$ Mex$$],[\frac{4}{11}\frac{?}{24(t+2)},$$$\frac{0\mathrm{.}04991}{?}$ Mex$$],[\frac{4}{12}\frac{?}{24(t+3)},$$$\frac{0\mathrm{.}05058}{M}ex$$