Batch Size given Average Production Cost Calculator

✖The Number of Tools Used is the total number of tools used for manufacturing a batch of products.ⓘ Number of Tools Used [N_t]			+10% -10%
✖The Cost of a Tool is simply the cost of one tool being used for machining.ⓘ Cost of A Tool [C_t]			+10% -10%
✖Time to Change One Tool is the measure of time it takes to change one tool during machining.ⓘ Time to Change One Tool [t_c]			+10% -10%
✖Production Cost of Each Component is the total amount that it takes to produce a single component from scratch.ⓘ Production Cost of Each Component [C_pr]			+10% -10%
✖Setup Time of each component is the time required to load/unload the workpiece and position the tool for production for one component.ⓘ Setup Time [t_s]			+10% -10%
✖Machining Time is the time when a machine is actually processing something. Generally, machining time is the term used when there is a removal of unwanted material.ⓘ Machining Time [t_m]			+10% -10%

✖Batch Size is the count of similar kinds of products to be manufactured.ⓘ Batch Size given Average Production Cost [N_b]

⎘ Copy

👎

Formula

✖

Batch Size given Average Production Cost

Formula

`"N"_{"b"} = "N"_{"t"}*(("C"_{"t"}*"t"_{"c"})+"C"_{"t"})/("C"_{"pr"}-("C"_{"t"}*("t"_{"s"}+"t"_{"m"})))`

Example

`"2"="4.16129"*(("80"*"0.5min")+"80")/("15000"-("80"*("0.9min"+"1.15min")))`

Calculator

LaTeX

Reset

👍

Download Production Engineering Formula PDF PDF Image

Batch Size given Average Production Cost Solution

STEP 0: Pre-Calculation Summary

Formula Used

Batch Size = Number of Tools Used*((Cost of A Tool*Time to Change One Tool)+Cost of A Tool)/(Production Cost of Each Component-(Cost of A Tool*(Setup Time+Machining Time)))
N_b = N_t*((C_t*t_c)+C_t)/(C_pr-(C_t*(t_s+t_m)))
This formula uses 7 Variables

Variables Used

Batch Size - Batch Size is the count of similar kinds of products to be manufactured.
Number of Tools Used - The Number of Tools Used is the total number of tools used for manufacturing a batch of products.
Cost of A Tool - The Cost of a Tool is simply the cost of one tool being used for machining.
Time to Change One Tool - (Measured in Second) - Time to Change One Tool is the measure of time it takes to change one tool during machining.
Production Cost of Each Component - Production Cost of Each Component is the total amount that it takes to produce a single component from scratch.
Setup Time - (Measured in Second) - Setup Time of each component is the time required to load/unload the workpiece and position the tool for production for one component.
Machining Time - (Measured in Second) - Machining Time is the time when a machine is actually processing something. Generally, machining time is the term used when there is a removal of unwanted material.

STEP 1: Convert Input(s) to Base Unit

Number of Tools Used: 4.16129 --> No Conversion Required
Cost of A Tool: 80 --> No Conversion Required
Time to Change One Tool: 0.5 Minute --> 30 Second (Check conversion here)
Production Cost of Each Component: 15000 --> No Conversion Required
Setup Time: 0.9 Minute --> 54 Second (Check conversion here)
Machining Time: 1.15 Minute --> 69 Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N_b = N_t*((C_t*t_c)+C_t)/(C_pr-(C_t*(t_s+t_m))) --> 4.16129*((80*30)+80)/(15000-(80*(54+69)))

Evaluating ... ...

N_b = 1.99999984496124

STEP 3: Convert Result to Output's Unit

1.99999984496124 --> No Conversion Required

FINAL ANSWER

1.99999984496124 ≈ 2 <-- Batch Size

(Calculation completed in 00.007 seconds)

You are here -

Home » Engineering » Production Engineering » Metal Machining » Metal-Machining Economics » Production Cost » Average Production Cost » Batch Size given Average Production Cost

Credits

Created by Kumar Siddhant

Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur

Kumar Siddhant has created this Calculator and 400+ more calculators!

Verified by Parul Keshav

National Institute of Technology (NIT), Srinagar

Parul Keshav has verified this Calculator and 400+ more calculators!

< 18 Average Production Cost Calculators

Total Non-Productive Time using Average Production Cost

Go Non Productive Time = (Batch Size*(Production Cost of Each Component-Cost of A Tool*Machining Time)-(Cost of A Tool*Number of Tools Used*Time to Change One Tool)-(Number of Tools Used*Cost of A Tool))/Cost of A Tool

Machining and Operating Rate given Average Production Cost of each Component

Go Machining and Operating Rate = (Production Cost of Each Component-(Number of Tools Used*Cost of A Tool/Batch Size))/(Setup Time+Machining Time+(Number of Tools Used*Tool Changing Time/Batch Size))

Tool Changing Time for Each Tool given Average Production Cost

Go Time to Change One Tool = (Batch Size*(Production Cost of Each Component-Cost of A Tool*(Setup Time+Machining Time))-Number of Tools Used*Cost of A Tool)/(Cost of A Tool*Number of Tools Used)

Total Machining Time using Average Production Cost

Go Total Machining Time = (Batch Size*(Production Cost of Each Component-Cost of A Tool*Setup Time)-Number of Tools Used*(Cost of A Tool*Time to Change One Tool+Cost of A Tool))/(Cost of A Tool)

Tool Changing Cost of Each Product using Average Production Cost

Go Cost of changing each Tool = (Batch Size*Production Cost of Each Component-Batch Size*Cost of A Tool*(Setup Time+Machining Time)-Number of Tools Used*Cost of A Tool)/(Number of Tools Used)

Machining Time for Each Product given Average Production Cost

Go Machining Time = (Production Cost of Each Component-Cost of A Tool*Setup Time-(Number of Tools Used/Batch Size)*(Cost of A Tool*Time to Change One Tool+Cost of A Tool))/Cost of A Tool

Setup Time for Each Product given Average Production Cost

Go Setup Time = (Production Cost of Each Component-Cost of A Tool*Machining Time-(Number of Tools Used/Batch Size)*(Cost of A Tool*Time to Change One Tool+Cost of A Tool))/Cost of A Tool

Non-Productive Cost of Component given Average Production Cost

Go Non Another Productive Cost of Each Component = Production Cost of Each Component-(Cost of A Tool*Machining Time+(Number of Tools Used/Batch Size)*((Cost of A Tool*Tool Changing Time)+Cost of A Tool))

Total Non-Productive Cost given Average Production Cost

Go Total Non Productive Cost = Batch Size*(Production Cost of Each Component-(Cost of A Tool*Machining Time))-(Number of Tools Used*((Cost of A Tool*Tool Changing Time)+Cost of A Tool))

Total Cost of Tools used given Average Production Cost

Go Total Cost of Tools Used = (Batch Size*(Production Cost of Each Component-Cost of A Tool*(Setup Time+Machining Time))-Cost of A Tool*Number of Tools Used*Time to Change One Tool)

Batch Size given Average Production Cost

Go Batch Size = Number of Tools Used*((Cost of A Tool*Time to Change One Tool)+Cost of A Tool)/(Production Cost of Each Component-(Cost of A Tool*(Setup Time+Machining Time)))

Total Tool Changing Time using Average Production Cost

Go Total Tool Changing Time = (Batch Size*(Production Cost of Each Component-Cost of A Tool*(Setup Time+Machining Time))-Number of Tools Used*Cost of A Tool)/(Cost of A Tool)

Number of Tools used given Average Production Cost

Go Number of Tools Used = Batch Size*(Production Cost of Each Component-Cost of A Tool*(Setup Time+Machining Time))/(Cost of A Tool*Time to Change One Tool+Cost of A Tool)

Average Production Cost of each component

Go Production Cost of Each Component = Cost of A Tool*(Setup Time+Machining Time)+(Number of Tools Used/Batch Size)*((Cost of A Tool*Tool Changing Time)+Cost of A Tool)

Total Tool Changing Cost using Average Production Cost

Go Total Tool Changing Cost = Batch Size*(Production Cost of Each Component-Cost of A Tool*(Setup Time+Machining Time))-Number of Tools Used*Cost of A Tool

Average Production Cost of Each Component using Individual Costs

Go Production Cost of Each Component = (Total Non-Productive Cost+Total Machining And Operating Cost+Total Tool Changing Cost+Total Cost of Tools Used)/Batch Size

Number of Tools used given Average Production Time

Go Number of Tools Used = Batch Size*(Average Production Time-(Setup Time+Machining Time))/Time to Change One Tool

Average Production Cost of each Component given Total Production Cost

Go Production Cost of Each Component = Total Production Cost/Batch Size

Batch Size given Average Production Cost Formula

Average Production Cost of each component

The average Production Cost of each component is usually determined by taking an average over a defined batch of products. The reason for this is the extended costs such as the cost of tools and operating costs etc. This makes the Average Production Cost becomes quite higher for a single product than when measured over batch size.

How to Calculate Batch Size given Average Production Cost?

Batch Size given Average Production Cost calculator uses Batch Size = Number of Tools Used*((Cost of A Tool*Time to Change One Tool)+Cost of A Tool)/(Production Cost of Each Component-(Cost of A Tool*(Setup Time+Machining Time))) to calculate the Batch Size, The Batch Size given Average Production Cost is a method to determine the maximum that component that can be produced in a batch when the maximum allowed expense on one component is given. Batch Size is denoted by N_b symbol.

How to calculate Batch Size given Average Production Cost using this online calculator? To use this online calculator for Batch Size given Average Production Cost, enter Number of Tools Used (N_t), Cost of A Tool (C_t), Time to Change One Tool (t_c), Production Cost of Each Component (C_pr), Setup Time (t_s) & Machining Time (t_m) and hit the calculate button. Here is how the Batch Size given Average Production Cost calculation can be explained with given input values -> 2.004186 = 4.16129*((80*30)+80)/(15000-(80*(54+69))).

FAQ

What is Batch Size given Average Production Cost?

The Batch Size given Average Production Cost is a method to determine the maximum that component that can be produced in a batch when the maximum allowed expense on one component is given and is represented as N_b = N_t*((C_t*t_c)+C_t)/(C_pr-(C_t*(t_s+t_m))) or Batch Size = Number of Tools Used*((Cost of A Tool*Time to Change One Tool)+Cost of A Tool)/(Production Cost of Each Component-(Cost of A Tool*(Setup Time+Machining Time))). The Number of Tools Used is the total number of tools used for manufacturing a batch of products, The Cost of a Tool is simply the cost of one tool being used for machining, Time to Change One Tool is the measure of time it takes to change one tool during machining, Production Cost of Each Component is the total amount that it takes to produce a single component from scratch, Setup Time of each component is the time required to load/unload the workpiece and position the tool for production for one component & Machining Time is the time when a machine is actually processing something. Generally, machining time is the term used when there is a removal of unwanted material.

How to calculate Batch Size given Average Production Cost?

The Batch Size given Average Production Cost is a method to determine the maximum that component that can be produced in a batch when the maximum allowed expense on one component is given is calculated using Batch Size = Number of Tools Used*((Cost of A Tool*Time to Change One Tool)+Cost of A Tool)/(Production Cost of Each Component-(Cost of A Tool*(Setup Time+Machining Time))). To calculate Batch Size given Average Production Cost, you need Number of Tools Used (N_t), Cost of A Tool (C_t), Time to Change One Tool (t_c), Production Cost of Each Component (C_pr), Setup Time (t_s) & Machining Time (t_m). With our tool, you need to enter the respective value for Number of Tools Used, Cost of A Tool, Time to Change One Tool, Production Cost of Each Component, Setup Time & Machining Time and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search