You place an order for $1,400$ units of inventory at a unit price of $$51.$ The supplier offers terms of $\frac{3}{20},$ net $45.$

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?

Note: 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?

Note: Enter your answer as a percent.

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

b$-3.$ If you do take the discount, how much should you remit?

Note: 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?

Note: 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?

Note: Do not round intermediate calculations and round your answer to the nearest whole number, e$.$g$.,32.$