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BigorU [14]
3 years ago
6

"Today you made a student loan of $10,000 with the 5.5% annual interest rate. You will be in school next four years and you do n

ot have any obligation to make payments until you graduate while the interest accumulates. How much will you owe in four years when you start making payments?"
Business
1 answer:
Artist 52 [7]3 years ago
8 0

Answer:

$12,388.25

Explanation:

The computation of the amount owed is shown below:

= Today value × (1 + annual rate of interest)^given number of years

where,

Today value = $10,000

Annual interest rate = 5.5%

Number of years = 4

Now placing the values

So, the amount owed equal to  

= $10,000 × (1 + 0.055)^4

= $10,000 × 1.2388246506

= $12,388.25

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(a):Annual demand = 10 packages per day*260 days per year = 2600 packages per year.

H = $1 and S = $10.

Thus Order quantity = (2*2600*10/1)^0.5 = 228 packages

(b): Total annual inventory control cost = Q/2*H + D/Q*S

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= 114 + 114.03

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(c): Yes both annual ordering costs and holding costs are equal at $114.

(d): In case of order quantity of 100 packages the cost will be = 100/2*1 + 2600/100*10

= 50 + 260

= 310.

Thus the cost figure of $310 in case of 100 packages is more than the cost of $228.03 when 228 packages are ordered. Hence I will recommend that the office manager use the optimal order quantity instead of 100 packages.

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