FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Number of Tools used given Total Production Cost Formula

Fx Copy

LaTeX Copy

The Number of Tools Used is the total number of tools used for manufacturing a batch of products. Check FAQs

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

N_t - Number of Tools Used?C_tp - Total Production Cost?N - Batch Size?C - Cost of a Tool?t_s - Setup Time?t - Machining Time?t_c - Time to Change One Tool?

Number of Tools used given Total Production Cost Example

With values

With units

Only example

Here is how the Number of Tools used given Total Production Cost equation looks like with Values.

Here is how the Number of Tools used given Total Production Cost equation looks like with Units.

Here is how the Number of Tools used given Total Production Cost equation looks like.

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

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

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

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Production Engineering » Category

Metal Machining » fx Number of Tools used given Total Production Cost

Number of Tools used given Total Production Cost Solution

Follow our step by step solution on how to calculate Number of Tools used given Total Production Cost?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

LAST Step Evaluate

∴

N t = 3

Number of Tools used given Total Production Cost Formula Elements

Variables

Number of Tools Used

The Number of Tools Used is the total number of tools used for manufacturing a batch of products.

Symbol: N_t

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Tools Used

Total Production Cost

Total Production Cost involves summing up various cost components associated with the machining process.

Symbol: C_tp

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Total Production Cost

Batch Size

Batch size refers to the number of identical parts produced in a single production run or cycle.

Symbol: N

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Batch Size

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.

Symbol: C

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Cost of a Tool

Setup Time

Setup Time of each component is the time required to load/unload the workpiece and position the tool for production for one component.

Symbol: t_s

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Setup Time

Machining Time

Machining time refers to the total time required to complete a specific machining operation on a workpiece.

Symbol: t

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Machining Time

Time to Change One Tool

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.

Symbol: t_c

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time to Change One Tool

Other formulas in Total Production Cost category

Go Total Production Cost for given Batch Size

C tp = N \cdot C p

Go Total Production Cost

C tp = N \cdot (C \cdot (t s + t)) + N t \cdot (C \cdot t c + C)

How to Evaluate Number of Tools used given Total Production Cost?

Number of Tools used given Total Production Cost evaluator 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 evaluate 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 evaluate Number of Tools used given Total Production Cost using this online evaluator? To use this online evaluator 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.

FAQs on Number of Tools used given Total Production Cost

What is the formula to find Number of Tools used given Total Production Cost?

The formula of Number of Tools used given Total Production Cost is expressed as 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). Here is an example- 3 = (30000-2*80*(54+87))/(80*30+80).

How to calculate Number of Tools used given Total Production Cost?

With 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) we can find Number of Tools used given Total Production Cost using the 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).

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Number of Tools used given Total Production Cost Formula

Number of Tools used given Total Production Cost Example

Number of Tools used given Total Production Cost Solution

Number of Tools used given Total Production Cost Formula Elements

Other formulas in Total Production Cost category

How to Evaluate Number of Tools used given Total Production Cost?

FAQs on Number of Tools used given Total Production Cost

Variable Name