LO$24.$ Cash Discounts You place an order for $560$ units of Good X at a unit price of $586$ $$67.$ The supplier offers terms of $\frac{1}{10},$ net $30.$

a$.$ How long do you have to pay before the account is overdue? If you take the full period, how much should you remit?

b$.$ What is the discount being offered? How quickly must you pay to get the discount? If you do take the discount, how much should you remit?

c$.$ If you don't take the discount, how much interest are you paying implicitly?