The Shirt Works sells a large variety of tee shirts and sweatshirts. Steve Hooper, the owner, is thinking of expanding his sales high school students, on a commission basis, to sell sweatshirts bearing the name and mascot of the local high school.

These sweatshirts would have to be ordered from the manufacturer six weeks in advance and could not be returned becaus unique printing required. The sweatshirts would cost Hooper $$23\mathrm{.}00$ each with a minimum order of $227$ sweatshirts. Any ado sweatshirts would have to be ordered in increments of $227.$

Because Hooper's plan would not require any additional facilities, the only costs associated with the project would be the sweatshirts and the costs of the sales commissions. The selling price of the sweatshirts would be $$46\mathrm{.}00$ each. Hooper wou students a commission of $$7\mathrm{.}00$ for each shirt sold.

Required:

What level of unit sales and dollar sales is needed to attain a target profit of $$14,528?$

Assume that Hooper places an initial order for $227$ sweatshirts. What is his break$-$even point in unit sales and dollar sale Note: Round your intermediate calculations, round "Break$-$even point in unit sales" up to the nearest whole unit and "Break$-$even point in dollar sales" to the nearest whole dollar.

How many sweatshirts would Hooper need to sell to earn a target profit of $$16,344?$

Note: Round final answer up to the nearest whole unit.

$\backslash$table$[[1.$ Unit sales needed to attain the target profit,,sweatshirts$],[1.$ Dollar sales needed to attain the target profit,,$],[2.$ Break$-$even point in unit sales,,sweatshirts$],[2.$ Break$-$even point in dollar sales,,$]]$