An assembler orders two components from a single supplier. The assembler uses $250$ units of the

first component and $1250$ units of the second component. The fixed transportation cost is $$400.$

Also, the inspection and sorting costs is $$100$ for each component. The unit purchasing cost is

$$250$ for the first component and $$350$ for the second component. The carrying cost is $20\%.$ The

assembler is trying to come up with an ordering plan that minimizes total holding and ordering

costs. There are two possible options: $(1)$ The assembler order each component independently and

$(2)$ The assembler order jointly but not every order contains every component; that is$,$ each order

contains a selected subset of the components. Calculate the average number of orders and order

quantity for each component for both two options. Also, calculate the total holding and ordering

costs for both options. Which option would you choose?