4. A company makes bicycles. It produces 450 bicycles a month. It buys the tires for bicycles from a supplier at a cost of $20 per tire. The company’s inventory carrying cost is estimated to be 15% of cost and the ordering is $50 per order. Calculate the Economic Order Quantity (EOQ). Then from this solution, also calculate the number of orders per year, and average annual ordering cost.
Answers
Answer:
Explanation:
a. The computation of the economic order quantity is shown below:
=
where,
Carrying cost = $20 × 15% = 3
And, the annual demand = 450 bicycles × 12 months × 2 tyres = 10,800
And, the ordering cost is $50
Now put these values to the above formula
So, the value would equal to
=
= 600 tires
b. The number of orders would be equal to
= Annual demand ÷ economic order quantity
= $10,800 ÷ 600 tires
= 18 orders
c. The average annual ordering cost would equal to
= Number of orders × ordering cost
= 18 orders × $50
= $900
Final answer:
The Economic Order Quantity for the company is around 240 units. This leads to an estimated 23 orders per year with an average annual ordering cost of $1150.
Explanation:
The Economic Order Quantity (EOQ) is calculated using the equation √((2DS)/H). In this example, D represents the demand rate which is the number of bicycles produced a year (450 per month times 12, totaling 5400). S represents the ordering cost ($50) and H represents the holding cost which is 15% of the tire cost ($20) per unit, totaling $3 per unit.
So if you substitute these values into the formula, the EOQ equals √((2 * 5400 * 50)/3), which results in approximately 240 units. From this solution, the number of orders per year would be the annual demand divided by the EOQ, i.e., 5400 / 240 giving approximately 22.5 orders (rounded upwards it means 23 orders per year). The average annual ordering cost would be the cost per order times the number of orders per year (23 * $50), resulting in $1150.
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Answer:
Please see attachment
Explanation:
Please see attachment