Machining and Operating Rate given Average Production Cost of each Component Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
M = (Cpr-(Nt*Ct/Nb))/(ts+tm+(Nt*T/Nb))
This formula uses 8 Variables
Variables Used
Machining and Operating Rate - Machining and operating rate refers to the speed at which material is removed from a workpiece during a machining operation.
Production Cost of Each Component - Production cost of each component involves accounting for various factors, including material costs, labor, machine operating costs, tool costs, overhead, and other related expenses.
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 - 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.
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 refers to the total time required to complete a specific machining operation on a workpiece.
Tool Changing Time - (Measured in Second) - Tool changing time referred to as tool change time, is the duration required to remove a used tool and replace it with a new one.
STEP 1: Convert Input(s) to Base Unit
Production Cost of Each Component: 11400 --> No Conversion Required
Number of Tools Used: 3 --> No Conversion Required
Cost of a Tool: 80 --> No Conversion Required
Batch Size: 2 --> No Conversion Required
Setup Time: 0.45 Minute --> 27 Second (Check conversion ​here)
Machining Time: 1.15 Minute --> 69 Second (Check conversion ​here)
Tool Changing Time: 0.2 Minute --> 12 Second (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
M = (Cpr-(Nt*Ct/Nb))/(ts+tm+(Nt*T/Nb)) --> (11400-(3*80/2))/(27+69+(3*12/2))
Evaluating ... ...
M = 98.9473684210526
STEP 3: Convert Result to Output's Unit
98.9473684210526 --> No Conversion Required
FINAL ANSWER
98.9473684210526 98.94737 <-- Machining and Operating Rate
(Calculation completed in 00.020 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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Average Production Cost Calculators

Total Non-Productive Time using Average Production Cost
​ LaTeX ​ 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
Setup Time for Each Product given Average Production Cost
​ LaTeX ​ 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
Number of Tools used given Average Production Cost
​ LaTeX ​ 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)
Number of Tools used given Average Production Time
​ LaTeX ​ Go Number of Tools Used = Batch Size*(Average Production Time-(Setup Time+Machining Time))/Time to Change One Tool

Machining and Operating Rate given Average Production Cost of each Component Formula

​LaTeX ​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))
M = (Cpr-(Nt*Ct/Nb))/(ts+tm+(Nt*T/Nb))

Significance of Machining and Operating Costs

The Machining and Operating Cost basically helps in determining the count of components that can be manufactured in the given resources. If this calculated cost is lower than the actual cost based on machining time, it means that the production planning has failed, as the total number of the components that are to be produced becomes lower than the starting batch size.

How to Calculate Machining and Operating Rate given Average Production Cost of each Component?

Machining and Operating Rate given Average Production Cost of each Component calculator uses 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)) to calculate the Machining and Operating Rate, The Machining and Operating Rate given Average Production Cost of each Component is a method to determine the maximum expense rate that can be afforded on machines and operators when based on the expense it took to manufacture a single component. Machining and Operating Rate is denoted by M symbol.

How to calculate Machining and Operating Rate given Average Production Cost of each Component using this online calculator? To use this online calculator for Machining and Operating Rate given Average Production Cost of each Component, enter Production Cost of Each Component (Cpr), Number of Tools Used (Nt), Cost of a Tool (Ct), Batch Size (Nb), Setup Time (ts), Machining Time (tm) & Tool Changing Time (T) and hit the calculate button. Here is how the Machining and Operating Rate given Average Production Cost of each Component calculation can be explained with given input values -> 98.94737 = (11400-(3*80/2))/(27+69+(3*12/2)).

FAQ

What is Machining and Operating Rate given Average Production Cost of each Component?
The Machining and Operating Rate given Average Production Cost of each Component is a method to determine the maximum expense rate that can be afforded on machines and operators when based on the expense it took to manufacture a single component and is represented as M = (Cpr-(Nt*Ct/Nb))/(ts+tm+(Nt*T/Nb)) or 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)). Production cost of each component involves accounting for various factors, including material costs, labor, machine operating costs, tool costs, overhead, and other related expenses, The Number of Tools Used is the total number of tools used for manufacturing a batch of products, 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, 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 refers to the total time required to complete a specific machining operation on a workpiece & Tool changing time referred to as tool change time, is the duration required to remove a used tool and replace it with a new one.
How to calculate Machining and Operating Rate given Average Production Cost of each Component?
The Machining and Operating Rate given Average Production Cost of each Component is a method to determine the maximum expense rate that can be afforded on machines and operators when based on the expense it took to manufacture a single component is calculated using 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)). To calculate Machining and Operating Rate given Average Production Cost of each Component, you need Production Cost of Each Component (Cpr), Number of Tools Used (Nt), Cost of a Tool (Ct), Batch Size (Nb), Setup Time (ts), Machining Time (tm) & Tool Changing Time (T). With our tool, you need to enter the respective value for Production Cost of Each Component, Number of Tools Used, Cost of a Tool, Batch Size, Setup Time, Machining Time & Tool Changing Time 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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