The Wood Valley Dairy makes cheese to supply to stores in its area. The dairy can make 250 pounds of cheese per day (365 days per year), and the demand at area stores is 180 pounds per day. Each time the dairy makes cheese, it costs $125 to set up the production process. The annual cost of carrying a pound of cheese in a refrigerated storage area is $12. Determine the optimal order size and the minimum total annual inventory cost.

1. 1170 units

2. $14039

Explanation:

The optimal order size will be:

= ✓2AO/C

where,

A = Annual demand = 180 × 365 days = 65,700

O = Ordering cost = 125

C = Carrying cost = 12

EOQ = ✓(2AO/C)

= ✓(2 × 65700 × 125/12)

= ✓ 1368750

= 1170 units

Therefore, the optimal order size is 1170 units.

2. The minimum total annual inventory cost will be calculated as:

C = (Q /2)(H) +(D/Q)(S)

where,

Q = 1170 pounds

H = holding cost = $12

D = annual demand = 65,700

S =set up cost = $125

Therefore, the minimum total annual inventory cost will be:

C = (Q /2)(H) +(D/Q)(S)

C = {(1170) /2] × 12} + {(65,700 /1170) × 125}

= 7020 +7019

= 14,039

Therefore, the minimum total annual inventory cost is $14,039.

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