LM$.91$ XYZ Company is rethinking the way it ships to its $52$ customers in another city $224$ miles away.

Current Shipping$/$Delivery Method

They currently hire an LTL $($less$-$than$-$truckload$)$ carrier to pick up and deliver these shipments. Each customer order shipped via LTL carrier costs $$181.$

Alternate Shipping$/$Delivery Method

A $3$PL $($third$-$party logistics provider$)$ has approached XYZ Company and suggested that they make full truckload $($TL$)$ shipments from their facility to the $3$PL$\text{'}$s

warehouse in the customers' city. The $3$PL would then break the bulk shipment $($TL or truckload shipment$)$ into individual customer orders to be shipped

locally by an LTL carrier. The relative data for this alternate shipping method are as follows:

Full TL shipment cost $(224$ miles$)=$$$685$

Average weight per customer order $=530lbs.$

Warehouse break$-$bulk fee $($per $100$ lbs$.,$ a$.$k$.$a$.$ per "hundred weight"$)=$$$10$

Local LTL delivery fee $($per customer order$)=$$$39$

What is the total cost of delivering to all customers via LTL carrier $($current method$)?($Display your answer as a whole number.$)$

How much money would XYZ company save by using the alternate shipping$/$delivery method for delivery to all customers? $($Display your answer as a whole

number.$)$

At what number of customers would the cost of these two methods be the same? $($Display your answer as a whole number.$)$