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Ksju [112]
3 years ago
5

Consider a university that purchases replacement chairs for its classrooms. The purchasing manager knows that the annual demand

for replacement chairs is 500. The pricing schedule is as follows: Use the following Excel solution to this quantity discount problem with constant carrying cost. Carrying cost = $ 15 Ordering cost = $ 200 Annual Demand = 500
Quantity Price Q Discount Q Total Cost
100 $130 115.47 115.47 $ 66,732.05
200 $122 115.47 200.00 $ 63,000.00
500 $120 115.47 500.00 $ 63,950.00
What is the inventory ordering cost using the economic order quantity?
A. $1,000
B. $866
C. $500
D. $200
Business
1 answer:
Ierofanga [76]3 years ago
8 0

Answer:

b. $866

Explanation:

Annual demand from the question = D = $500

the ordering cost = S = $200

then the cost of carrying H = $15

we have to calculate the <em><u>economic order quantity</u></em>

<em><u>=</u></em><em><u> </u></em><em><u>sqr</u></em><em><u>(</u></em><em><u>2</u></em><em><u>*</u></em><em><u>D</u></em><em><u>*</u></em><em><u>S</u></em><em><u>)</u></em><em><u>/</u></em><em><u>H</u></em>

<em><u>=</u></em><em><u> </u></em><em><u>sqr</u></em><em><u>(</u></em><em><u>2</u></em><em><u> </u></em><em><u>x</u></em><em><u> </u></em><em><u>5</u></em><em><u>0</u></em><em><u>0</u></em><em><u> </u></em><em><u>x</u></em><em><u> </u></em><em><u>2</u></em><em><u>0</u></em><em><u>0</u></em><em><u>)</u></em><em><u>/</u></em><em><u>2</u></em><em><u>5</u></em>

<em><u>=</u></em><em><u> </u></em><em><u>sqr</u></em><em><u>(</u></em><em><u>1</u></em><em><u>3</u></em><em><u>3</u></em><em><u>3</u></em><em><u>3</u></em><em><u>.</u></em><em><u>3</u></em><em><u>3</u></em><em><u>3</u></em><em><u>3</u></em><em><u>)</u></em>

<em><u>this</u></em><em><u> </u></em><em><u>equals</u></em><em><u> </u></em><em><u>1</u></em><em><u>1</u></em><em><u>5</u></em><em><u>.</u></em><em><u>4</u></em><em><u>6</u></em><em><u>9</u></em>

<em><u>whi</u></em><em><u>ch</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>app</u></em><em><u>roximately</u></em><em><u> </u></em><em><u>1</u></em><em><u>1</u></em><em><u>5</u></em><em><u>.</u></em><em><u>5</u></em>

<em><u>next</u></em><em><u> </u></em><em><u>we</u></em><em><u> </u></em><em><u>have</u></em><em><u> </u></em><em><u>to</u></em><em><u> </u></em><em><u>calc</u></em><em><u>ulate</u></em><em><u> </u></em><em><u>inven</u></em><em><u>tory</u></em><em><u> </u></em><em><u>orderi</u></em><em><u>ng</u></em><em><u> </u></em><em><u>cost</u></em>

<em><u>=</u></em><em><u> </u></em><em><u>(</u></em><em><u>D</u></em><em><u> </u></em><em><u>*</u></em><em><u> </u></em><em><u>S</u></em><em><u>)</u></em><em><u>/</u></em><em><u>EOQ</u></em>

<em><u>=</u></em><em><u> </u></em><em><u>2</u></em><em><u>0</u></em><em><u>0</u></em><em><u> </u></em><em><u>*</u></em><em><u>5</u></em><em><u>0</u></em><em><u>0</u></em><em><u>/</u></em><em><u>1</u></em><em><u>1</u></em><em><u>5</u></em><em><u>.</u></em><em><u>5</u></em>

<em><u>=</u></em><em><u> </u></em><em><u>8</u></em><em><u>6</u></em><em><u>5</u></em><em><u>.</u></em><em><u>5</u></em>

<em><u>When</u></em><em><u> </u></em><em><u>approximated</u></em><em><u> </u></em><em><u>becomes</u></em><em><u> </u></em><em><u>$</u></em><em><u>8</u></em><em><u>6</u></em><em><u>6</u></em>

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