A particular raw material is available to a company at three different prices, depending on the size of the order: Less than 100 pounds $ 25 per pound 100 pounds to 3,999 pounds $ 24 per pound 4,000 pounds or more $ 23 per pound The cost to place an order is $40. Annual demand is 2,700 units. Holding (or carrying) cost is 25 percent of the material price. What is the economic order quantity to buy each time, and its total cost

EOQ = 201 units

total cost = $66,007.35

Explanation:

we can calculate the EOQ using 2 different prices (it makes no sense to use $23 since the minimum order size is larger than annual demand):

EOQ = √[(2 x S x D) / H]

$25 per unit

S = $45

D = 2,700

H = $25 x 25% = $6.25

EOQ = √[(2 x 45 x 2,700) / 6.25] = 197.18

$24 per unit

S = $45

D = 2,700

H = $24 x 25% = $6

EOQ = √[(2 x 45 x 2,700) / 6] = 201.25 ≈ 201 units

since both EOQs are higher than 100 units, then we must use $24 per unit

you have to make 2,700 / 201 = 13.43

total cost = (13.43 x $45) + (2,700 x $24) + (201 x $6 x 0.5) = $604.35 + $64,800 + $603 = $66,007.35