Baran Incorporated can purchase component M from $3$ potential suppliers. Supplier A

charges a fee of $$7\mathrm{.}50$ per component. Supplier B charges $$3000$ per order plus $$3\mathrm{.}00$

per component ordered. Supplier C charges $$6\mathrm{.}00$ per component, and requires the

buyer to pay for at least $400$ components $($even if the order size is less than $400).$

$4.$ What is the full range of order sizes where each supplier is optimal?

$5.$ Baran decided to buy $700$ units of component M from supplier B$.$ How

much money could the company have saved if it purchased the $700$ units

from supplier C instead of supplier B$?$

$6.$ Next week supplier B will be running a $14\%$ off special. What equation

represents the new Total Cost for supplier B during the sale?

The new equation should provide a cost that is $14\%$ less than the original.