Cj- Si= ¡= B= N= unit cost of item/ cost per order placed for item/ inventory carrying charge as a percentage of the cost per unit the maximum amount of investment in goods number of items In the objective function, the first term is the annual cost of goods, the second is the annual ordering cost (D)/Q) is the number of orders) and the last term is the annual inventory holding cost (Q/2 is the average amount of inventory). Set up a spreadsheet model for the following data: Item Item 1 2 2000 2000 Item 3 1.500 Annual Demand Item Cost Order Cost B-$25,000 /= 0.3 Solve the problem using Excel Solver. Hint: You will need to start with decision variable values that are greater than O for Solver to find a solution. If required, round your answers to two decimal places. Optimal Solution: $80 $50 $70 $160 $135 $125 Q2= 03- If required, round your answer to the nearest dollar. Total cost = $

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The Economic Order Quantity (EOQ) model is a classical model used for controlling inventory and satisfying demand. Costs included in the model are holding cost per unit, ordering cost and the cost of goods ordered. The assumptions for that model are: only a single
item is considered; the entire quantity ordered arrives at one time; the demand for the item is constant over time, no shortages are allowed.
Suppose we relax the first assumption and allow for multiple items which are independent except for a budget restriction. The following model describes this situation:
Let Di= annual demand for item /
unit cost of item /
cost per order placed for item /
inventory carrying charge as a percentage of the cost per unit
the maximum amount of investment in goods
Ci=
Sj=
1=
B=
N=
number of items
In the objective function, the first term is the annual cost of goods, the second is the annual ordering cost (Dj/Qjis the number of orders) and the last term is the annual inventory holding cost (Q)/2 is the average amount of inventory).
Set up a spreadsheet model for the following data:
Annual
Demand
Item Cost
Order Cost
B= $25,000
i= 0.3
Item Item
1 2
2,000 2,000
Item
3
1,500
$80 $50 $70
$160 $135
$125
Solve the problem using Excel Solver. Hint: You will need to start with decision variable values that are greater than O for Solver to find a solution.
If required, round your answers to two decimal places.
Optimal Solution:
Q1 =
Q2 =
Q3 =
If required, round your answer to the nearest dollar.
Total cost = $
Transcribed Image Text:The Economic Order Quantity (EOQ) model is a classical model used for controlling inventory and satisfying demand. Costs included in the model are holding cost per unit, ordering cost and the cost of goods ordered. The assumptions for that model are: only a single item is considered; the entire quantity ordered arrives at one time; the demand for the item is constant over time, no shortages are allowed. Suppose we relax the first assumption and allow for multiple items which are independent except for a budget restriction. The following model describes this situation: Let Di= annual demand for item / unit cost of item / cost per order placed for item / inventory carrying charge as a percentage of the cost per unit the maximum amount of investment in goods Ci= Sj= 1= B= N= number of items In the objective function, the first term is the annual cost of goods, the second is the annual ordering cost (Dj/Qjis the number of orders) and the last term is the annual inventory holding cost (Q)/2 is the average amount of inventory). Set up a spreadsheet model for the following data: Annual Demand Item Cost Order Cost B= $25,000 i= 0.3 Item Item 1 2 2,000 2,000 Item 3 1,500 $80 $50 $70 $160 $135 $125 Solve the problem using Excel Solver. Hint: You will need to start with decision variable values that are greater than O for Solver to find a solution. If required, round your answers to two decimal places. Optimal Solution: Q1 = Q2 = Q3 = If required, round your answer to the nearest dollar. Total cost = $
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