In Product Mix Example $("$T$-$shirt$/$sweatshirt manufacturing company" example on slides #$3-9),$ if the number dozen blank sweatshirts and T$-$shirts each in stock has been changed from $500$ to $400,$ at the optimal solution, front$-$only t$-$shirt should be how many boxes?

$400$

$175\mathrm{.}56$

$177\mathrm{.}78$

$500$