QAT1 Task 3 309
Competency 309.3.1: Decision Making Models
A – A1. Economic Order Quantity Model (EOQ)
The Economic Order Quantity Model will allow an organization to determine the optimal volume of inventory to order at a given time. The EOQ model provides the most optimized approach to inventory ordering as it considers, demand, ordering cost, and holding costs; to develop the volume of inventory to be ordered to maintain to minimum annual cost (Render, 2012). Equation:
Variables:
Q* = optimal number to order
D = annual demand in units
Co = ordering cost
Ch = holding cost
Process Description:
Q or Q* meaning the optimal order of pieces per order, is equal to the square root of the equation of annual demand (D), multiplied by 2, then multiplied by the ordering cost (Co), which is then divided by the holding cost (Ch). The end result of the equation provides the optimal order of pieces per order or Q*. Company A:
Demand (D) = 670,000 units per year
Ordering Costs (Co) = $320 per order
Per Unit Cost of inventory = $375
Holding cost rate = 5.5%
Holding cost (Ch) = $375 (5.5) = $20.62
*Holding cost is the per unit cost of inventory multiplied by the holding cost rate
Step 1: Input variables into the equation
Step 2: Follow mathematical order of operations: simplify and solve for numerator 2(670000)(320) = 428800000=20795344.3258972
Step 3: Follow mathematical order of operations: Divide numerator by denominator 428800000/20.62
Step 4: Square roots your quotient and get your final result of the equation = 4560
Step 5: Round up to the nearest Unit to get you final answer. In order to minimize total cost, the order size should be 4560 when company A orders new inventory.
B – B1. Economic Production Lot Model
The Economic Production Lot Model is a variation of the EOQ model that allows businesses to determine optimal replenishment lot size. This model provides the most optimized approach this form of ordering as it considers, demand, available production, ordering cost, set
A – A1. Economic Order Quantity Model (EOQ)
The Economic Order Quantity Model will allow an organization to determine the optimal volume of inventory to order at a given time. The EOQ model provides the most optimized approach to inventory ordering as it considers, demand, ordering cost, and holding costs; to develop the volume of inventory to be ordered to maintain to minimum annual cost (Render, 2012). Equation:
Variables:
Q* = optimal number to order
D = annual demand in units
Co = ordering cost
Ch = holding cost
Process Description:
Q or Q* meaning the optimal order of pieces per order, is equal to the square root of the equation of annual demand (D), multiplied by 2, then multiplied by the ordering cost (Co), which is then divided by the holding cost (Ch). The end result of the equation provides the optimal order of pieces per order or Q*. Company A:
Demand (D) = 670,000 units per year
Ordering Costs (Co) = $320 per order
Per Unit Cost of inventory = $375
Holding cost rate = 5.5%
Holding cost (Ch) = $375 (5.5) = $20.62
*Holding cost is the per unit cost of inventory multiplied by the holding cost rate
Step 1: Input variables into the equation
Step 2: Follow mathematical order of operations: simplify and solve for numerator 2(670000)(320) = 428800000=20795344.3258972
Step 3: Follow mathematical order of operations: Divide numerator by denominator 428800000/20.62
Step 4: Square roots your quotient and get your final result of the equation = 4560
Step 5: Round up to the nearest Unit to get you final answer. In order to minimize total cost, the order size should be 4560 when company A orders new inventory.
B – B1. Economic Production Lot Model
The Economic Production Lot Model is a variation of the EOQ model that allows businesses to determine optimal replenishment lot size. This model provides the most optimized approach this form of ordering as it considers, demand, available production, ordering cost, set