Number of Tools used given Average Production Time Calculator

✖Batch Size is the count of similar kinds of products to be manufactured.ⓘ Batch Size [N_b]			+10% -10%
✖Average Production Time is the time taken to produce a single component out of a lot of produced batches.ⓘ Average Production Time [t_p]			+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%
✖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%

✖The Number of Tools Used is the total number of tools used for manufacturing a batch of products.ⓘ Number of Tools used given Average Production Time [N_t]

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Formula

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Number of Tools used given Average Production Time

Formula

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

Example

`"3"="6"*("2.8min"-("0.9min"+"1.15min"))/"1.5min"`

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Number of Tools used given Average Production Time Solution

STEP 0: Pre-Calculation Summary

Formula Used

Number of Tools Used = Batch Size*(Average Production Time-(Setup Time+Machining Time))/Time to Change One Tool
N_t = N_b*(t_p-(t_s+t_m))/t_c
This formula uses 6 Variables

Variables Used

Number of Tools Used - The Number of Tools Used is the total number of tools used for manufacturing a batch of products.
Batch Size - Batch Size is the count of similar kinds of products to be manufactured.
Average Production Time - (Measured in Second) - Average Production Time is the time taken to produce a single component out of a lot of produced batches.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Batch Size: 6 --> No Conversion Required
Average Production Time: 2.8 Minute --> 168 Second (Check conversion here)
Setup Time: 0.9 Minute --> 54 Second (Check conversion here)
Machining Time: 1.15 Minute --> 69 Second (Check conversion here)
Time to Change One Tool: 1.5 Minute --> 90 Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N_t = N_b*(t_p-(t_s+t_m))/t_c --> 6*(168-(54+69))/90

Evaluating ... ...

N_t = 3

STEP 3: Convert Result to Output's Unit

3 --> No Conversion Required

FINAL ANSWER

3 <-- Number of Tools Used

(Calculation completed in 00.005 seconds)

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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

Number of Tools used given Average Production Time Formula

Number of Tools Used = Batch Size*(Average Production Time-(Setup Time+Machining Time))/Time to Change One Tool
N_t = N_b*(t_p-(t_s+t_m))/t_c

Why there is a need to change the Tool?

Due to Wear during the cutting operation, the sharpness of the Cutting edge of the tool is lost which leads to roughness and tolerances at the surface. To tackle this, the tool is usually sharpened rather than completely changed.

How to Calculate Number of Tools used given Average Production Time?

Number of Tools used given Average Production Time calculator uses Number of Tools Used = Batch Size*(Average Production Time-(Setup Time+Machining Time))/Time to Change One Tool to calculate the Number of Tools Used, Number of Tools used given Average Production Time is method to determine maximum number of Tools that should be used for producing batch of components when total time available for production is known. Number of Tools Used is denoted by N_t symbol.

How to calculate Number of Tools used given Average Production Time using this online calculator? To use this online calculator for Number of Tools used given Average Production Time, enter Batch Size (N_b), Average Production Time (t_p), Setup Time (t_s), Machining Time (t_m) & Time to Change One Tool (t_c) and hit the calculate button. Here is how the Number of Tools used given Average Production Time calculation can be explained with given input values -> 10 = 6*(168-(54+69))/90.

FAQ

What is Number of Tools used given Average Production Time?

Number of Tools used given Average Production Time is method to determine maximum number of Tools that should be used for producing batch of components when total time available for production is known and is represented as N_t = N_b*(t_p-(t_s+t_m))/t_c or Number of Tools Used = Batch Size*(Average Production Time-(Setup Time+Machining Time))/Time to Change One Tool. Batch Size is the count of similar kinds of products to be manufactured, Average Production Time is the time taken to produce a single component out of a lot of produced batches, 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 & Time to Change One Tool is the measure of time it takes to change one tool during machining.

How to calculate Number of Tools used given Average Production Time?

Number of Tools used given Average Production Time is method to determine maximum number of Tools that should be used for producing batch of components when total time available for production is known is calculated using Number of Tools Used = Batch Size*(Average Production Time-(Setup Time+Machining Time))/Time to Change One Tool. To calculate Number of Tools used given Average Production Time, you need Batch Size (N_b), Average Production Time (t_p), Setup Time (t_s), Machining Time (t_m) & Time to Change One Tool (t_c). With our tool, you need to enter the respective value for Batch Size, Average Production Time, Setup Time, Machining Time & Time to Change One Tool 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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