Tool Changing Time for Each Tool given Total Production Cost Solution

STEP 0: Pre-Calculation Summary
Formula Used
Time to Change One Tool = (Total Production Cost-Batch Size*Cost of A Tool*(Setup Time+Machining Time)-Number of Tools Used*Cost of A Tool)/(Cost of A Tool*Number of Tools Used)
tc = (TPC-Nb*Ct*(ts+tm)-Nt*Ct)/(Ct*Nt)
This formula uses 7 Variables
Variables Used
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.
Total Production Cost - Total Production Cost is the total amount that it takes to produce a batch of components from scratch.
Batch Size - Batch Size is the count of similar kinds of products to be manufactured.
Cost of A Tool - The Cost of a Tool is simply the cost of one tool being used for machining.
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.
Number of Tools Used - The Number of Tools Used is the total number of tools used for manufacturing a batch of products.
STEP 1: Convert Input(s) to Base Unit
Total Production Cost: 1185 --> No Conversion Required
Batch Size: 2 --> No Conversion Required
Cost of A Tool: 80 --> No Conversion Required
Setup Time: 0.9 Minute --> 54 Second (Check conversion here)
Machining Time: 1.15 Minute --> 69 Second (Check conversion here)
Number of Tools Used: 3 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
tc = (TPC-Nb*Ct*(ts+tm)-Nt*Ct)/(Ct*Nt) --> (1185-2*80*(54+69)-3*80)/(80*3)
Evaluating ... ...
tc = -78.0625
STEP 3: Convert Result to Output's Unit
-78.0625 Second -->-1.30104166666667 Minute (Check conversion here)
FINAL ANSWER
-1.30104166666667 -1.301042 Minute <-- Time to Change One Tool
(Calculation completed in 00.020 seconds)

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
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21 Total Production Cost Calculators

Machining Time for Each Product using Total Production Cost
Go Machining Time = (Total Production Cost For Production Method-Cost of A Tool*Batch Size*Setup Time-Number of Tools Used*(Cost of A Tool*Time to Change One Tool+Cost of A Tool))/(Cost of A Tool*Batch Size)
Setup Time for Each Product given Total Production Cost
Go Setup Time = (Total Production Cost-Cost of A Tool*Batch Size*Machining Time-Number of Tools Used*(Cost of A Tool*Time to Change One Tool+Cost of A Tool))/(Cost of A Tool*Batch Size)
Tool Changing Time for Each Tool given Total Production Cost
Go Time to Change One Tool = (Total Production Cost-Batch Size*Cost of A Tool*(Setup Time+Machining Time)-Number of Tools Used*Cost of A Tool)/(Cost of A Tool*Number of Tools Used)
Non-Productive Cost of Each Component given Total Production Cost
Go Non Productive Cost of Each Component = Total Production Cost-(Batch Size*Cost of A Tool*Machining Time+Number of Tools Used*((Cost of A Tool*Time to Change One Tool)+Cost of A Tool))
Machining and Operating Rate given Total Production Cost
Go Machining and Operating Rate = (Total Production Cost-(Number of Tools Used*Cost of A Tool))/(Batch Size*(Setup Time+Machining Time)+(Number of Tools Used*Tool Changing Time))
Tool Changing Cost of Each Tool using Total Production Cost
Go Cost of changing each Tool = (Total Production Cost-Batch Size*Cost of A Tool*(Setup Time+Machining Time)-Number of Tools Used*Cost of A Tool)/(Number of Tools Used)
Number of Tools used given Total Production Cost
Go Number of Tools Used = (Total Production Cost- Batch Size*Cost of A Tool*(Setup Time+Machining Time))/(Cost of A Tool*Time to Change One Tool+Cost of A Tool)
Total Production Cost
Go Total Production Cost = Batch Size*(Cost of A Tool*(Setup Time+Machining Time)+(Number of Tools Used)*((Cost of A Tool*Time to Change One Tool)+Cost of A Tool))
Total Tool Changing Time given Total Production Cost
Go Total Tool Changing Time = (Total Production Cost-(Total Cost of Tools Used+Total Machining And Operating Cost+Total Non-Productive Cost))/(Number of Tools Used*Cost of A Tool)
Total Tool Changing Cost using Total Production Cost
Go Total Tool Changing Cost = Total Production Cost-Batch Size*Cost of A Tool*(Setup Time+Machining Time)-Number of Tools Used*Cost of A Tool
Total Non-Productive Time using Total Production Cost
Go Non Productive Time = (Total Production Cost for Setup Time-(Total Machining And Operating Cost+Total Tool Changing Cost+Total Cost of Tools Used))/(Cost of A Tool)
Total Machining Time using Total Production Cost
Go Total Machining Time = (Total Production Cost-(Total Non-Productive Cost+Total Tool Changing Cost+Total Cost of Tools Used))/(Cost of A Tool)
Total Non-Productive Cost given Total Production Cost
Go Total Non Productive Cost = Total Production Cost-(Total Machining And Operating Cost+Total Tool Changing Cost+Total Cost of Tools Used)
Total Cost of Tools given Total Production Cost
Go Total Cost of Tools Used = Total Production Cost-(Total Machining And Operating Cost+Total Tool Changing Cost+Total Non Productive Cost)
Total Tool-Changing Cost
Go Total Tool Changing Cost = Total Tool Changing Time*Number of Tools Used
Time for Changing one Tool given Total Tool Changing Time
Go Time to Change One Tool = Total Tool Changing Time/Number of Tools Used
Total Tool Changing Time
Go Total Tool Changing Time = Number of Tools Used*Time to Change One Tool
Total Production Cost for given Batch Size
Go Total Production Cost = Batch Size*Production Cost of Each Component
Batch Size given Total Production Cost
Go Batch Size = Total Production Cost/Production Cost of Each Component
Cost of Tool given Total Cost of Tools
Go Cost of A Tool = Total Cost of Tools Used/Number of Tools Used
Total Cost of Tools Used
Go Total Cost of Tools Used = Number of Tools Used*Cost of A Tool

Tool Changing Time for Each Tool given Total Production Cost Formula

Time to Change One Tool = (Total Production Cost-Batch Size*Cost of A Tool*(Setup Time+Machining Time)-Number of Tools Used*Cost of A Tool)/(Cost of A Tool*Number of Tools Used)
tc = (TPC-Nb*Ct*(ts+tm)-Nt*Ct)/(Ct*Nt)

Significance of Total Tool Changing Time

The Total Tool Changing Time denotes the time being spent on an important but non-profitable process that is changing the Machining tool. This results in extra cost factors being accounted for as the operators are usually waged per hour or day. It is preferred that the Total Tool Changing Time in a Production Line is low so as there is a low expense on these non-profitable tasks.

How to Calculate Tool Changing Time for Each Tool given Total Production Cost?

Tool Changing Time for Each Tool given Total Production Cost calculator uses Time to Change One Tool = (Total Production Cost-Batch Size*Cost of A Tool*(Setup Time+Machining Time)-Number of Tools Used*Cost of A Tool)/(Cost of A Tool*Number of Tools Used) to calculate the Time to Change One Tool, Tool Changing Time for Each Tool given Total Production Cost is a method to determine the maximum time that can be spared on each tool to be spent for changing based on the total expense production. Time to Change One Tool is denoted by tc symbol.

How to calculate Tool Changing Time for Each Tool given Total Production Cost using this online calculator? To use this online calculator for Tool Changing Time for Each Tool given Total Production Cost, enter Total Production Cost (TPC), Batch Size (Nb), Cost of A Tool (Ct), Setup Time (ts), Machining Time (tm) & Number of Tools Used (Nt) and hit the calculate button. Here is how the Tool Changing Time for Each Tool given Total Production Cost calculation can be explained with given input values -> 0.011667 = (1185-2*80*(54+69)-3*80)/(80*3).

FAQ

What is Tool Changing Time for Each Tool given Total Production Cost?
Tool Changing Time for Each Tool given Total Production Cost is a method to determine the maximum time that can be spared on each tool to be spent for changing based on the total expense production and is represented as tc = (TPC-Nb*Ct*(ts+tm)-Nt*Ct)/(Ct*Nt) or Time to Change One Tool = (Total Production Cost-Batch Size*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 Production Cost is the total amount that it takes to produce a batch of components from scratch, Batch Size is the count of similar kinds of products to be manufactured, The Cost of a Tool is simply the cost of one tool being used for machining, 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 & The Number of Tools Used is the total number of tools used for manufacturing a batch of products.
How to calculate Tool Changing Time for Each Tool given Total Production Cost?
Tool Changing Time for Each Tool given Total Production Cost is a method to determine the maximum time that can be spared on each tool to be spent for changing based on the total expense production is calculated using Time to Change One Tool = (Total Production Cost-Batch Size*Cost of A Tool*(Setup Time+Machining Time)-Number of Tools Used*Cost of A Tool)/(Cost of A Tool*Number of Tools Used). To calculate Tool Changing Time for Each Tool given Total Production Cost, you need Total Production Cost (TPC), Batch Size (Nb), Cost of A Tool (Ct), Setup Time (ts), Machining Time (tm) & Number of Tools Used (Nt). With our tool, you need to enter the respective value for Total Production Cost, Batch Size, Cost of A Tool, Setup Time, Machining Time & Number of Tools Used 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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