Setup Time for Each Product given Total Production Cost Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
ts = (Ctp-C*N*t-Nt*(C*tc+C))/(C*N)
This formula uses 7 Variables
Variables Used
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.
Total Production Cost - Total Production Cost involves summing up various cost components associated with the machining process.
Cost of a Tool - Cost of a tool is a multifaceted consideration that includes the initial purchase price, maintenance costs, tool life, and the impact on overall production costs.
Batch Size - Batch size refers to the number of identical parts produced in a single production run or cycle.
Machining Time - (Measured in Second) - Machining time refers to the total time required to complete a specific machining operation on a workpiece.
Number of Tools Used - The Number of Tools Used is the total number of tools used for manufacturing a batch of products.
Time to Change One Tool - (Measured in Second) - Time to change one tool often referred to as tool change time, includes the duration taken to remove the used tool and install a new one.
STEP 1: Convert Input(s) to Base Unit
Total Production Cost: 30000 --> No Conversion Required
Cost of a Tool: 80 --> No Conversion Required
Batch Size: 2 --> No Conversion Required
Machining Time: 87 Second --> 87 Second No Conversion Required
Number of Tools Used: 3 --> No Conversion Required
Time to Change One Tool: 30 Second --> 30 Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ts = (Ctp-C*N*t-Nt*(C*tc+C))/(C*N) --> (30000-80*2*87-3*(80*30+80))/(80*2)
Evaluating ... ...
ts = 54
STEP 3: Convert Result to Output's Unit
54 Second --> No Conversion Required
FINAL ANSWER
54 Second <-- Setup Time
(Calculation completed in 00.004 seconds)

Credits

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Created by Kumar Siddhant
Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur
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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-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 Time to Change One Tool = (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-(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)
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
Total Tool-Changing Cost
​ Go Tool Changing Cost = Total Tool Changing Time*Number of Tools Used
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

Setup Time for Each Product given Total Production Cost Formula

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)
ts = (Ctp-C*N*t-Nt*(C*tc+C))/(C*N)

Significance of Total Non-Productive Time

The Total Non-Productive Time helps the concerned to determine the resource of the industry being wasted due to time lapse in important but non-profitable processes of the production line. It also helps in determining the required measures to be taken to increase the productivity of the plant which generally includes steps to decrease the Total Non-Productive Cost.

How to Calculate Setup Time for Each Product given Total Production Cost?

Setup Time for Each Product given Total Production Cost calculator uses 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) to calculate the Setup Time, The Setup Time for Each Product given Total Production Cost is a method to determine the maximum time that can be spent to load/unload the workpiece and reposition the tool for the manufacturing of a single product based on the total production cost. Setup Time is denoted by ts symbol.

How to calculate Setup Time for Each Product given Total Production Cost using this online calculator? To use this online calculator for Setup Time for Each Product given Total Production Cost, enter Total Production Cost (Ctp), Cost of a Tool (C), Batch Size (N), Machining Time (t), Number of Tools Used (Nt) & Time to Change One Tool (tc) and hit the calculate button. Here is how the Setup Time for Each Product given Total Production Cost calculation can be explained with given input values -> 54 = (30000-80*2*87-3*(80*30+80))/(80*2).

FAQ

What is Setup Time for Each Product given Total Production Cost?
The Setup Time for Each Product given Total Production Cost is a method to determine the maximum time that can be spent to load/unload the workpiece and reposition the tool for the manufacturing of a single product based on the total production cost and is represented as ts = (Ctp-C*N*t-Nt*(C*tc+C))/(C*N) or 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). Total Production Cost involves summing up various cost components associated with the machining process, Cost of a tool is a multifaceted consideration that includes the initial purchase price, maintenance costs, tool life, and the impact on overall production costs, Batch size refers to the number of identical parts produced in a single production run or cycle, Machining time refers to the total time required to complete a specific machining operation on a workpiece, The Number of Tools Used is the total number of tools used for manufacturing a batch of products & Time to change one tool often referred to as tool change time, includes the duration taken to remove the used tool and install a new one.
How to calculate Setup Time for Each Product given Total Production Cost?
The Setup Time for Each Product given Total Production Cost is a method to determine the maximum time that can be spent to load/unload the workpiece and reposition the tool for the manufacturing of a single product based on the total production cost is calculated using 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). To calculate Setup Time for Each Product given Total Production Cost, you need Total Production Cost (Ctp), Cost of a Tool (C), Batch Size (N), Machining Time (t), Number of Tools Used (Nt) & Time to Change One Tool (tc). With our tool, you need to enter the respective value for Total Production Cost, Cost of a Tool, Batch Size, Machining Time, Number of Tools Used & 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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