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gogolik [260]
2 years ago
9

Lila Battle has determined that the annual demand for number 6 screws is 100,000 screws. Lila, who works in her brother’s hardwa

re store, is in charge of purchasing. She estimates that it costs $10 every time an order is placed. This cost includes her wages, the cost of the forms used in placing the order, and so on. Furthermore, she estimates that the cost of carrying one screw in inventory for a year is one-half of 1 cent. Assume that the demand is constant throughout the year.
a. How many number 6 screws should Lila order at a time if she wishes to minimize total inventory cost?
b. How many orders per year would be placed? What would the annual ordering cost be?
c. What would the average inventory be? What would the annual holding cost be?
Business
1 answer:
yan [13]2 years ago
3 0

Answer:

a) Order size= 20,000 units

b) No of orders= 5.

    Annual ordering cost = $50

c) Average inventory = 10,000 units

  Annual holding cost= $50

Explanation:

To minimize total inventory cost, the company would have to place order equal to the Economic Order Quantity(EOQ)

EOQ = √2× Co× D/Ch

EOQ - economic order quantity , Co- ordering cost per order, Ch- carrying cost per unit per year, D- Annual demand

EOQ =√ (2× 10× 100,000)/0.005= 20,000 units

No of orders to place = Annual demand/EOQ

                                    = 100,000/ 20,000

                                     = 5 orders

Annual ordering cost = 5 × $10 = $50

Average inventory = Minimum stock + order quantity/2

                              = 20,000/2 = 10,000 units

Annual holding cost = average inventory × holding cost per unit

                                  = 10,000 × 0.005= $50

Order size= 20,000 units

No of orders= 5.

Annual ordering cost = $50

Average inventory = 10,000 units

Annual holding cost= $50

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Find out what people buy and then proceed to survey how the prices of those items change 
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A seller (or provider) of goods or services to a business organization, usually a manufacturer or wholesaler, is known as a:
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(a) What amount should be deposited in a fund at the end of each quarter at 7% compounded quarterly so that there will be enough
gizmo_the_mogwai [7]

Answer:

(a) The deposit should be <u>$168.06 </u>quarterly.

(a) The deposit should be <u>$145.32 </u>quarterly.

Explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

An investor needs $11,000 in 19 years.

(a) What amount should be deposited in a fund at the end of each quarter at 7% compounded quarterly so that there will be enough money in the fund?

(b) Find the investors quarterly deposit if the money is deposited at 9.4% compounded quarterly.

The explanations to the answers are now given as follows:

(a) What amount should be deposited in a fund at the end of each quarter at 7% compounded quarterly so that there will be enough money in the fund?

Since the amount should be deposited in a fund at the end of each quarter, the formula for calculating the Future Value (FV) of an Ordinary Annuity is used as follows:

FV = M * {[(1 + r)^n - 1] / r} ................................. (1)

Where,

FV = Future value of the amount needed in 19 years = $11,000

M = Quarterly deposit = ?

r = Quarterly interest rate = 7% / 4 = 0.07 / 4 = 0.0175

n = number of quarters the deposits will be made = 11 * 4 = 44

Substituting the values into equation (1) and solve for M, we have:

11,000 = M * {[(1 + 0.0175)^44 - 1] / 0.0175}

11,000 = M * 65.4531536741798

M = 11,000 / 65.4531536741798

M = $168.06

(b) Find the investors quarterly deposit if the money is deposited at 9.4% compounded quarterly.

We make use of equation (1) in part (a) as follows:

Where,

FV = Future value of the amount needed in 19 years = $11,000

M = Quarterly deposit = ?

r = Quarterly interest rate = 9.4% / 4 = 0.094 / 4 = 0.0235

n = number of quarters the deposits will be made = 11 * 4 = 44

Substituting the values into equation (1) and solve for M, we have:

11,000 = M * {[(1 + 0.0235)^44 - 1] / 0.0235}

11,000 = M * 75.6957891651599

M = 11,000 / 75.6957891651599

M = $145.32

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