Problem $2\mathrm{.}3$

Tom and Sam are a hand$-$crafty couple. They recently made a deal with a small nearby grocery store called Trading$-$With$-$Joe. Every week they fill in two orders, decorative pots $(P)$ and jelly jars $(J).$ Since both goods retail and cost the same amount, their goal is to produce as much as possible.

Tom can either produce $35$ pots per day or $65$ jars per day.

Sam can either produce $45$ pots per day or $85$ jars per day.

$($a$)$ Who has an absolute advantage in producing pots?

$($b$)$ Who has an absolute advantage in producing jelly?

$($c$)$ Show or prove who has comparative advantage in producing pots?

$($d$)$ Who should produce what first and why?

Tom works $6$ days a week. Where: $6=L_P+L_J$

His production capabilities are: $P=35(L_P)$ and $J=65(L_J)$

$($e$)$ How much would Tom produce if he spent all $6$ days only producing pots and jars individually?

$($f$)$ Solve, graph, and label Tom's production frontier equation in terms of pots, or make $P$ as your $y-$axis.