Number of Tools used given Total Production Cost Calculator

✖Total Production Cost involves summing up various cost components associated with the machining process.ⓘ Total Production Cost [C_tp]			+10% -10%
✖Batch size refers to the number of identical parts produced in a single production run or cycle.ⓘ Batch Size [N]			+10% -10%
✖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.ⓘ Cost of a Tool [C]			+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 refers to the total time required to complete a specific machining operation on a workpiece.ⓘ Machining Time [t]			+10% -10%
✖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.ⓘ 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 Total Production Cost [N_t]

⎘ Copy

👎

Formula

✖

Number of Tools used given Total Production Cost

Formula

N t = \frac{C tp - N \cdot C \cdot (t s + t)}{C \cdot t c + C}

Example

3 = \frac{30000 - 2 \cdot 80 \cdot (54 s + 87 s)}{80 \cdot 30 s + 80}

Calculator

LaTeX

Reset

👍

Download Production Engineering Formula PDF PDF Image

Number of Tools used given Total Production Cost Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
N_t = (C_tp-N*C*(t_s+t))/(C*t_c+C)
This formula uses 7 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.
Total Production Cost - Total Production Cost involves summing up various cost components associated with the machining process.
Batch Size - Batch size refers to the number of identical parts produced in a single production run or cycle.
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.
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.
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
Batch Size: 2 --> No Conversion Required
Cost of a Tool: 80 --> No Conversion Required
Setup Time: 54 Second --> 54 Second No Conversion Required
Machining Time: 87 Second --> 87 Second No Conversion Required
Time to Change One Tool: 30 Second --> 30 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N_t = (C_tp-N*C*(t_s+t))/(C*t_c+C) --> (30000-2*80*(54+87))/(80*30+80)

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 00.004 seconds)

You are here -

Home » Engineering » Production Engineering » Metal Machining » Metal Machining Economics » Production Cost » Total Production Cost » Number of Tools used given Total 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!

< Total Production Cost Calculators

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))

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 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 Production Cost for given Batch Size

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

Number of Tools used given Total Production Cost Formula

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)
N_t = (C_tp-N*C*(t_s+t))/(C*t_c+C)

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 Total Production Cost?

Number of Tools used given Total Production Cost calculator uses 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) to calculate the Number of Tools Used, The Number of Tools used given Total Production Cost is a method to determine the maximum number of Tools that can be used for producing a batch of components when the total amount available for production is known. Number of Tools Used is denoted by N_t symbol.

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

FAQ

What is Number of Tools used given Total Production Cost?

The Number of Tools used given Total Production Cost is a method to determine the maximum number of Tools that can be used for producing a batch of components when the total amount available for production is known and is represented as N_t = (C_tp-N*C*(t_s+t))/(C*t_c+C) or 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 involves summing up various cost components associated with the machining process, Batch size refers to the number of identical parts produced in a single production run or cycle, 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, 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 & 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 Number of Tools used given Total Production Cost?

The Number of Tools used given Total Production Cost is a method to determine the maximum number of Tools that can be used for producing a batch of components when the total amount available for production is known is calculated using 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). To calculate Number of Tools used given Total Production Cost, you need Total Production Cost (C_tp), Batch Size (N), Cost of a Tool (C), Setup Time (t_s), Machining Time (t) & Time to Change One Tool (t_c). With our tool, you need to enter the respective value for Total Production Cost, Batch Size, Cost of a Tool, 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.

Home

FREE PDFs

🔍 Search