A manufacturer purchases three components $($A$,$ B$,$ C$)$ from three different suppliers. The annual demand and cost of components are as follows:

Component

Annual Demand

Cost

A

$240000$

$$3\mathrm{.}00$

B

$30000$

$$4\mathrm{.}17$

C

$10800$

$$7\mathrm{.}40$

Annual hong cost is $20$ of the cost of component. Ordering cost is mainly transport and it is $$500$ pickup. Right now, the three components are ordered according to their economic order quantity and the pickups are separate for each component at $$500$ a run. The pickup logistics person says they can pickup components from B and C when the pickup and will charge additional $$250$ for each stop, instead of paying separate $$500$ for each pickup. That is they will first load component A from supplier A$,$ then load component from supplier B$,$ and then stop at C to pickup component C in the same run. The total cost $$500+$$$250+$$$250=$ $$1000.$ Will you take up the deal based on cost$?$ How does holding and ordering cost change for B and C$?$