A combine with a $40-$ft wide header is used to harvest a $500-$acre wheat field in Ohio. The combine operates for $14$ hours$/$day at the average speed and field efficiency given in the ASABE standards. The optimal yield for the field is $75$ bushels$/$acre and the optimal price is $$13/$bushel$.$ Harvest begins one week after the optimal date and continues until complete. What is the total timeliness cost for this harvest operation? Hint: Find out how many acres are harvested each day and calculate the timeliness cost for each day using the equation in section $8\mathrm{.}6$ of ASAE D$497\mathrm{.}7.$