A$.$ Inventory management

Problem $1$

A firm has $1,000$A$$ items $($which it counts every week, i$.$e$.,5$ days$),4,000$B$$ items $($counted every $40$

days$),$ and $8,000$C$$ items $($counted every $100$ days$).$ How many items should be counted per day?

Problem $2$

Assume you have a product with the following parameters:

Demand: $360$ units

Holding cost per year: $$1\mathrm{.}00$ per unit

Order cost: $$100$ per order

What is the EOQ?

B$.$ Supply chain management

Problem $3$

Phil Carter, President of Carter Computer Components, Corp. has the option of shipping computer

transformers from its Singapore plant via container ship or airfreight. The typical shipment has a value of

$$75,000.$ A container ship takes $24$ days and costs $$5,000$; airfreight takes $1$ day and costs $$8,000.$

Holding cost is estimated to be $40\%$ in either case.

a$)$ What is the total landed cost via container ship?

b$)$ What is the total landed cost via airfreight?

c$)$ How should shipments be made? Make your assumptions and explain your recommendation.