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mash [69]
3 years ago
8

The annual demand for an item is 10,000 units. The cost to process an order is $75 and the annual inventory holding cost is 20%

of item cost.
Quantity Price
1 - 9 $2.95 per unit
10 - 999 $2.50 per unit
1,000 - 4,999 $2.30 per unit
5,000 or more $1.85 per unit

What is the correct ordering policy (give optimal order quantity), given the following price breaks for purchasing the item? What price should the firm pay per unit? What is the total annual cost at the optimal behavior?
Business
1 answer:
Vilka [71]3 years ago
5 0

Answer:

or ordering quantity 1-9,

EOQ = sqrt((2*annual demand*ordering cost)/holding cost per unit per year) = sqrt((2*10000*75)/(20%*2.95)) = 1594.48201

Optimal ordering quantity will not be in this range as calculated EOQ is beyond the range

For ordering quantity 10-999,

EOQ = sqrt((2*annual demand*ordering cost)/holding cost per unit per year) = sqrt((2*10000*75)/(20%*2.5)) = 1732.050808

Optimal ordering quantity will not be in this range as calculated EOQ is beyond the range

For ordering quantity 1000-4999,

EOQ = sqrt((2*annual demand*ordering cost)/holding cost per unit per year) = sqrt((2*10000*75)/(20%*2.3)) = 1805.787796

Total annual cost = ordering cost + holding cost + purchase cost = (10000/1805.787796)*75+(1805.787796/2)*(20%*2.3)+10000*2.3 = 23830.66239

For ordering quantity 5000 or more,

EOQ = sqrt((2*annual demand*ordering cost)/holding cost per unit per year) = sqrt((2*10000*75)/(20%*1.85)) = 2013.468166

EOQ is adjusted upwards to 5000 to avail the discount

Total annual cost = ordering cost + holding cost + purchase cost = (10000/5000)*75+(5000/2)*(20%*1.85)+10000*1.85 = 19575

So, optimal ordering quantity = 5000

Firm should pay $1.85 per unit

Annual cost at the optimal behavior = 19575

Explanation:

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Craftwell Inc. pays a​ $0.75 dividend every quarter and will maintain this policy forever. What price should you pay for one sha
Advocard [28]

Answer:

Quarterly dividend (D) = $0.75

Annual return (Ke) = 10.5% = 0.105

Quarterly return = 0.105/4 = 0.02625

Current market price = <u>Quarterly dividend</u>

                                       Quarterly return

                                   =<u> $0.75</u>

                                       0.02625

                                  = $28.57

Explanation:

Current market price is the ratio of quarterly dividend paid divided by quarterly return.

3 0
3 years ago
Assume that a consumer has a given budget or income of $24 and that she can buy only two goods, apples or bananas. The price of
Sindrei [870]

Answer:

12 bananas or 8 apples are needed to purchased

Explanation:

The computation of the number of bananas or the apples is shown below:

Since the income is $24

And, the price of an apple and the price of banana is $3 and $2 respectively

So, the number of bananas is

= $24 ÷ $2

= 12 bananas

And, the number of apples is

= $24 ÷ 3

= 8 apples

Therefore 12 bananas or 8 apples are need to purchased

7 0
3 years ago
_____ planning is short-range, detailed planning that is based on long-range planning. It typically has a time frame that is les
PolarNik [594]

Answer: Tactical planning

Explanation:

In tactical planning, a company's strategic plan is planned and ways are generated to achive the objectives of a company by using short-term actions.

Tactical plans are required to help teams to accomplish their goals by utilizing the steps that are clearly defined through short term outcomes and it is usually less than a year.

7 0
3 years ago
The Back Room just paid an annual dividend of $1.50 a share. The firm expects to pay dividends forever and to increase the divid
umka2103 [35]

Answer:

$26.05

Explanation:

according to the constant dividend growth model

price = d1 / (r - g)

d1 = next dividend to be paid = d0 x (1 + growth rate)

d0 = dividend that was just paid

r = cost of equity

g = growth rate

1.5 x (1.045^6) / 12 - 4.5 = $26.05

6 0
3 years ago
You have just won the state lottery and have two choices for collecting your winnings. You can collect $100,000 today or receive
WINSTONCH [101]

Answer:

The present value Option 1 = $100,000

The present value Option 2 =$97.368,57‬

Explanation:

The formula to calculate Present Values is equal to:

Present Value = FV / (1+r) ∧n

Let´s calculate Present Value for Option 2:

PV1 =   $20,000 / (1+0,10) ∧ 1= $18,181.82

PV2 =  $20,000 / (1+0,10) ∧ 2= $16,528.92

PV3 =  $20,000 / (1+0,10) ∧ 3= $15,026.29

PV4 =  $20,000 / (1+0,10) ∧ 4= $13,660.26

PV5 =  $20,000 / (1+0,10) ∧ 5= $12,418.42

PV6 =  $20,000 / (1+0,10) ∧ 6=  $11,289.47

PV7 =  $20,000 / (1+0,10) ∧ 7= $10,263.16

PV1 + PV2 +PV3 +PV4 + PV5 + PV6 + PV7 = $97.368,57‬

3 0
3 years ago
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