In six months, a cereal company plans to sell $20,000$ boxes of "Wheat Crisps" for $$3\mathrm{.}00$ per box and will need to buy $10,000$ bushels of wheat to do so$.$ In doing so$,$ it also incurs non$-$wheat costs of $$3,000.$ The current spot price of wheat is $$5\mathrm{.}30$ per bushel, and the six$-$month forward price is $$5\mathrm{.}62.$ The company will hedge by buying wheat forward. What total profit would be earned if the market price of wheat in six months is $$4\mathrm{.}70,$ $$5\mathrm{.}10,$$$5\mathrm{.}50,$ and $$5\mathrm{.}90,$ respectively?

$$2,262$;$$-1,738$;$$-2,738$;$$-2,738$

Correct Answer Is $$800$;$$800$;$$800$;$$800$

$$10,000$;$$6,000$;$$2,000$;$$-2,000$

$$12,738$;$$12,738$;$$9,738$;$$5,738$

$$2,926$;$$2,926$;$$-1,074$;$$-1,074$

Please show all calculations $-$ correct answer shown in photo.