A customer has purchased $$25,000$ of a mutual fund. Over the past $5$ years, the fund has appreciated to $$46,000.$ At this point, the customer wants to buy another $$15,000$ of the fund. In the prospectus, the breakpoint schedule is:

Purchase Amount Sales Charge

$$0-$$$10,000,81\frac{1}{2}\%$

$>$$$10,000-$$$20,000,\frac{71}{2}\%$

$>$$$20,000-$$$45,000,\frac{61}{2}\%$

$>$$$45,000-$$$65,000,\frac{51}{2}\%$

$>$$$65,000,5\%$

On the $$15,000$ purchase, the customer will pay a sales charge of:

A $\frac{71}{2}\%$

$6\frac{\frac{1}{2}}{?}\%$

$5\frac{\frac{1}{2}}{\frac{1}{2}}$

$5\%$