a$.$ Give four differences between CPM and PERT.

b$.$ XYZ Inc. has two factories with weekly production rates of $40$ and $20$ widgets. These

widgets must be shipped to three warehouses that have a demand of $25,10$ and $25$ units.

The cost to ship between each location is known $($see the table below$).$

Which industry should produce and ship how many widgets to which warehouses to meet

demand at each location with minimal cost? Use the North$-$West Corner Method to

determine the minimal cost.

c$.$ Define the following terms as used in inventory control.

i$.$ Economic Order Quantity

ii$.$ Annual Ordering cost

iii. Order cycle

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d$.$ A manufacturer has to supply his customers with $1200$ units of his production per year.

The inventory carrying cost amounts to $$1\mathrm{.}2$ per unit. The set$-$up cost per run is $$160.$

Find the EOQ and the total cost of inventory per year.

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