You place an order for $390$ units of inventory at a unit price of $$180.$ The supplier offers terms of $\frac{3}{15},$ net $60.$

a$-1.$ How long do you have to pay before the account is overdue?

a$-2.$ If you take the full period, how much should you remit? $($Do not round intermediate calculations and round your answer to the nearest whole number, e$.$g$.,32.)$

b$-1.$ What is the discount being offered?

b$-2.$ How quickly must you pay to get the discount?

b$-3.$ If you do take the discount, how much should you remit? $($Do not round intermediate calculations and round your answer to the nearest whole number, e$.$g$.,32.)$

c$-1.$ If you don't take the discount, how much interest are you paying implicitly? $($Do not round intermediate calculations and round your answer to the nearest whole number, e$.$g$.,32.)$

c$-2.$ How many days' credit are you receiving? $($Do not round intermediate calculations and round your answer to the nearest whole number, e$.$g$.,32.)$

$\backslash$table$[[$a$-1.$ Days until overdue,,days$],[$a$-2.$ Remittance,,$],[$b$-1.$ Discount offered,,$\%$