Maximum Inventory Purchase Model Solution

STEP 0: Pre-Calculation Summary
Formula Used
Maximum Inventory Purchase Model = sqrt(2*Demand per Year*Order Cost/Carrying Cost*(Shortage Cost/(Shortage Cost+Carrying Cost)))
Qpurch = sqrt(2*D*C0/Cc*(Cs/(Cs+Cc)))
This formula uses 1 Functions, 5 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Maximum Inventory Purchase Model - The maximum inventory purchase model is based on the number of units you expect to sell during the replenishment lead time, and the demand and supply variation.
Demand per Year - Demand per Year is the number of goods that consumers are willing and able to purchase at various prices during a given year.
Order Cost - Order Cost is the expenses incurred to create and process an order to a supplier.
Carrying Cost - Carrying Cost is the total of all expenses related to storing unsold goods, and refers to the total cost of holding inventory.
Shortage Cost - The Shortage Cost is called the associate cost and is equal to the product's contribution margin.
STEP 1: Convert Input(s) to Base Unit
Demand per Year: 10000 --> No Conversion Required
Order Cost: 200 --> No Conversion Required
Carrying Cost: 4 --> No Conversion Required
Shortage Cost: 25 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Qpurch = sqrt(2*D*C0/Cc*(Cs/(Cs+Cc))) --> sqrt(2*10000*200/4*(25/(25+4)))
Evaluating ... ...
Qpurch = 928.476690885259
STEP 3: Convert Result to Output's Unit
928.476690885259 --> No Conversion Required
FINAL ANSWER
928.476690885259 928.4767 <-- Maximum Inventory Purchase Model
(Calculation completed in 00.020 seconds)

Credits

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Created by Suman Ray Pramanik
Indian Institute of Technology (IIT), Kanpur
Suman Ray Pramanik has created this Calculator and 50+ more calculators!
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Verified by Team Softusvista
Softusvista Office (Pune), India
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Maximum Inventory Purchase Model Formula

​LaTeX ​Go
Maximum Inventory Purchase Model = sqrt(2*Demand per Year*Order Cost/Carrying Cost*(Shortage Cost/(Shortage Cost+Carrying Cost)))
Qpurch = sqrt(2*D*C0/Cc*(Cs/(Cs+Cc)))

What is maximum inventory purchase model?

The maximum inventory purchase model is based on the number of units you expect to sell during the replenishment lead time, and the demand and supply variation. the maximum level of inventory you should hold is equal to the sum of Expected sales, demand variation safety stock, and supply variation safety stock.

How to Calculate Maximum Inventory Purchase Model?

Maximum Inventory Purchase Model calculator uses Maximum Inventory Purchase Model = sqrt(2*Demand per Year*Order Cost/Carrying Cost*(Shortage Cost/(Shortage Cost+Carrying Cost))) to calculate the Maximum Inventory Purchase Model, The maximum inventory purchase model is based on the number of units you expect to sell during the replenishment lead time, and the demand and supply variation. Maximum Inventory Purchase Model is denoted by Qpurch symbol.

How to calculate Maximum Inventory Purchase Model using this online calculator? To use this online calculator for Maximum Inventory Purchase Model, enter Demand per Year (D), Order Cost (C0), Carrying Cost (Cc) & Shortage Cost (Cs) and hit the calculate button. Here is how the Maximum Inventory Purchase Model calculation can be explained with given input values -> 928.4767 = sqrt(2*10000*200/4*(25/(25+4))).

FAQ

What is Maximum Inventory Purchase Model?
The maximum inventory purchase model is based on the number of units you expect to sell during the replenishment lead time, and the demand and supply variation and is represented as Qpurch = sqrt(2*D*C0/Cc*(Cs/(Cs+Cc))) or Maximum Inventory Purchase Model = sqrt(2*Demand per Year*Order Cost/Carrying Cost*(Shortage Cost/(Shortage Cost+Carrying Cost))). Demand per Year is the number of goods that consumers are willing and able to purchase at various prices during a given year, Order Cost is the expenses incurred to create and process an order to a supplier, Carrying Cost is the total of all expenses related to storing unsold goods, and refers to the total cost of holding inventory & The Shortage Cost is called the associate cost and is equal to the product's contribution margin.
How to calculate Maximum Inventory Purchase Model?
The maximum inventory purchase model is based on the number of units you expect to sell during the replenishment lead time, and the demand and supply variation is calculated using Maximum Inventory Purchase Model = sqrt(2*Demand per Year*Order Cost/Carrying Cost*(Shortage Cost/(Shortage Cost+Carrying Cost))). To calculate Maximum Inventory Purchase Model, you need Demand per Year (D), Order Cost (C0), Carrying Cost (Cc) & Shortage Cost (Cs). With our tool, you need to enter the respective value for Demand per Year, Order Cost, Carrying Cost & Shortage Cost and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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