You place an order for $400$ units of inventory at a unit price of $$205.$ The supplier offers terms of $\frac{1}{12},$ net $90.$

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

Days until overdue $$ days

a$-2.$ If you take the full period, how much should you remit? $($Omit $"$$$"$ sign in your response.$)$

Remittance $ $$

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

Discount offered $\%$

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

Number of days $$ days

b$-3.$ If you do take the discount, how much should you remit? $($Omit $"$$$"$ sign in your response.$)$

Remittance $ $$

c$-1.$ If you don't take the discount, how much interest are you paying implicitly? $($Omit $"$$$"$ sign in your response.$)$

Implicit interest $ $$

c$-2.$ How many days' credit are you receiving?

Days' credit $$ days