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Sergio [31]
3 years ago
14

Imagine you have some workers and some handheld computers that you can use to take inventory at a warehouse. There are diminishi

ng returns to taking inventory. If one worker uses one computer, he can inventory 125 items per hour. Two workers sharing a computer can together inventory 175 items per hour. Three workers sharing a computer can together inventory 185 items per hour. And four or more workers sharing a computer can together inventory fewer than 185 items per hour. Computers cost $100 each and you must pay each worker $25 per hour.
Business
1 answer:
skad [1K]3 years ago
6 0

Answer:

a. The cost of inventorying a single item is $1.00 per item.

b. The cost of inventorying a single item is $0.86 per item.

c. The cost of inventorying a single item is $0.95 per item.

d. The cost of inventorying a single item is $1.08 per item.

e. You should assign two workers per computer in order to minimize the cost of inventory per single item.

Explanation:

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

Imagine you have some workers and some handheld computers that you can use to take inventory at a warehouse. There are diminishing returns to taking inventory. If one worker uses one computer, he can inventory 125 items per hour. Two workers sharing a computer can together inventory 175 items per hour. Three workers sharing a computer can together inventory 185 items per hour. And four or more workers sharing a computer can together inventory fewer than 185 items per hour. Computers cost $100 each and you must pay each worker $25 per hour.

a. If you assign one worker per computer, what is the cost of inventorying a single item? Instructions: Round your answer to two decimal places. $ _____ per item

b. If you assign two workers per computer, what is the cost of inventorying a single item? Instructions: Round your answer to two decimal places. $ _____ per item

c. If you assign three workers per computer, what is the cost of inventorying a single item? Instructions: Round your answer to two decimal places. $_____ per item

d. If you assign four workers per computer, what is the cost of inventorying a single item? Instructions: Round your answer to two decimal places. $_____ per item.

e. How many workers per computer should you assign if you wish to minimize the cost of inventory per single item? _____ worker(s) per computer

The explanation to the answer is now provided as follows:

Note: See the attached excel file for all the calculations.

a. If you assign one worker per computer, what is the cost of inventorying a single item? Instructions: Round your answer to two decimal places. $ _____ per item

The cost of inventorying a single item is <u>$1.00 per item.</u>

b. If you assign two workers per computer, what is the cost of inventorying a single item? Instructions: Round your answer to two decimal places. $ _____ per item

The cost of inventorying a single item is <u>$0.86 per item.</u>

c. If you assign three workers per computer, what is the cost of inventorying a single item? Instructions: Round your answer to two decimal places. $_____ per item

The cost of inventorying a single item is <u>$0.95 per item.</u>

d. If you assign four workers per computer, what is the cost of inventorying a single item? Instructions: Round your answer to two decimal places. $_____ per item.

The cost of inventorying a single item is <u>$1.08 per item.</u>

e. How many workers per computer should you assign if you wish to minimize the cost of inventory per single item? _____ worker(s) per computer

To minimize the cost of inventory per single item, you should assign the number of workers at a point where the cost inventorying a single item is the lowest.

From from parts a to d above, the <u>lowest cost of $0.86 per item </u>of inventorying a single item is obtained in part b when you assign two workers per computer.

Therefore, you should assign two workers per computer in order to minimize the cost of inventory per single item.

Download xlsx
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Answer:

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a-2. Percentage change in the price of Bond Ted = -21.12%

b-1. Percentage change in the price of Bond Bill = 8.94%

b-1. Percentage change in the price of Bond Ted = 30.77%

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Explanation:

The price of each bond can be calculated using the following excel function:

Bond price = -PV(YTM, NPER, PMT, FV) ........... (1)

Where;

a-1. If interest rates suddenly rise by 2 percent, what is the percentage change in the price of Bond Bill?

YTM = (6.2% + 2%) / Number of semiannuals in a year = 8.2% / 2 = 4.1%

NPER = Number of semiannuals to maturity = 5 * 2 = 10

PMT = Payment = Coupon rate * Face value = (6.2% / Number of semiannuals in a year) * 1000 = (6.2% / 2) * 1000 = $31

FV = Face value = Initial price of Bond Bill = $1,000

Substituting all the values into equation (1), we have:

New price of Bond Bill = -PV(4.1%, 10, 31, 1000)

Inputting =-PV(4.1%, 10, 31, 1000) in a cell in an excel file (Note: As done in the attached excel file), we have:

New price of Bond Bill = $919.29

Percentage change in the price of Bond Bill = ((New price of Bond Bill - Initial price of Bond Bill) / Initial price of Bond Bill) * 100 = (($919.29 - $1,000) / $1,000) * 100 = -8.07%

a-2. If interest rates suddenly rise by 2 percent, what is the percentage change in the price of Bond Ted?

YTM = (6.2% + 2%) / Number of semiannuals in a year = 8.2% / 2 = 4.1%

NPER = Number of semiannuals to maturity = 25 * 2 = 50

PMT = Payment = Coupon rate * Face value = (6.2% / Number of semiannuals in a year) * 1000 = (6.2% / 2) * 1000 = $31

FV = Face value = Initial price of Bond Ted = $1,000

Substituting all the values into equation (1), we have:

New price of Bond Ted = -PV(4.1%, 50, 31, 1000)

Inputting =-PV(4.1%, 50, 31, 1000) in a cell in an excel file (Note: As done in the attached excel file), we have:

New price of Bond Ted = $788.81

Percentage change in the price of Bond Ted = ((New price of Bond Ted - Initial price of Bond Bill Ted) / Initial price of Bond Ted) * 100 = (($788.81 - $1,000) / $1,000) * 100 = -21.12%

b-1. If rates were to suddenly fall by 2 percent instead, what would the percentage change in the price of Bond Bill be then?

YTM = (6.2% - 2%) / Number of semiannuals in a year = 4.2% / 2 = 2.1%

NPER = Number of semiannuals to maturity = 5 * 2 = 10

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FV = Face value = Initial price of Bond Bill = $1,000

Substituting all the values into equation (1), we have:

New price of Bond Bill = -PV(2.1%, 10, 31, 1000)

Inputting =-PV(2.1%, 10, 31, 1000) in a cell in an excel file (Note: As done in the attached excel file), we have:

New price of Bond Bill = $1,089.36

Percentage change in the price of Bond Bill = ((New price of Bond Bill - Initial price of Bond Bill) / Initial price of Bond Bill) * 100 = (($1,089.36 - $1,000) / $1,000) * 100 = 8.94%

b-2. If rates were to suddenly fall by 2 percent instead, what would the percentage change in the price of Bond Ted be then?

rate = new YTM = (6.2% - 2%) / Number of semiannuals in a year = 4.2% / 2 = 2.1%

NPER = Number of semiannuals to maturity = 25 * 2 = 50

PMT = Payment = Coupon rate * Face value = (6.2% / Number of semiannuals in a year) * 1000 = (6.2% / 2) * 1000 = $31

FV = Face value = Initial price of Bond Ted = $1,000

Substituting all the values into equation (1), we have:

New price of Bond Ted = -PV(2.1%, 50, 31, 1000)

Inputting =-PV(2.1%, 50, 31, 1000) in a cell in an excel file (Note: As done in the attached excel file), we have:

New price of Bond Ted = $1,307.73

Percentage change in the price of Bond Ted = ((New price of Bond Ted - Initial price of Bond Bill Ted) / Initial price of Bond Ted) * 100 = (($1,307.73 - $1,000) / $1,000) * 100 = 30.77%

c. Illustrate your answers by graphing bond prices versus YTM.

Note: See the attached excel file for the graph.

d. What does this problem tell you about the interest rate risk of longer-term bonds?

It tells us that the longer the term of a bond, the greater will be its interest rate risk.

Download xlsx
6 0
2 years ago
When preparing a merchandise purchases budget, the required purchases in units equals: Select one: a. budgeted unit sales + begi
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Answer:

b. Budgeted unit sales - beginning merchandise inventory + desired merchandise ending inventory.

Explanation:

Since, the total purchases in units means the number of units that the company needs to buy after maintaining the necessary closing inventory to meet the budgeted sales. The total units required should therefore be equal to the total of the budgeted sales units and the units for the closing of inventory.

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Therefore to reach the required purchase unit we need to add budgeted unit sales and desired merchandise ending inventory and deduct the beginning merchandise inventory.

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