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Number of Tools used given Average Production Time Formula

GoNumber of Tools used given Average Production Cost Formula

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

N t = N b \cdot \frac{t p - (t s + t m)}{t c}

N_t - Number of Tools Used?N_b - Batch Size?t_p - Average Production Time?t_s - Setup Time?t_m - Machining Time?t_c - Time to Change One Tool?

Number of Tools used given Average Production Time Example

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With units

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

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

Here is how the Number of Tools used given Average Production Time equation looks like.

3 = 2 \cdot \frac{2.35 - (0.45 + 1.15)}{0.5}

3 = 2 \cdot \frac{2.35min - (0.45min + 1.15min)}{0.5min}

3 = 2 \cdot \frac{2.35 - (0.45 + 1.15)}{0.5}

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Number of Tools used given Average Production Time Solution

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

FIRST Step Consider the formula

N t = N b \cdot \frac{t p - (t s + t m)}{t c}

Next Step Substitute values of Variables

∴

N t = 2 \cdot \frac{2.35min - (0.45min + 1.15min)}{0.5min}

Next Step Convert Units

∴

N t = 2 \cdot \frac{141s - (27s + 69s)}{30s}

Next Step Prepare to Evaluate

∴

N t = 2 \cdot \frac{141 - (27 + 69)}{30}

LAST Step Evaluate

∴

N t = 3

Number of Tools used given Average Production Time 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

Batch Size

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

Symbol: N_b

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Batch Size

Average Production Time

Average production time refers to the total time required to produce a single unit of a product, averaged over a number of units.

Symbol: t_p

Measurement: TimeUnit: min

Note: Value should be greater than 0.

Formulas to find Average Production Time

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: min

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_m

Measurement: TimeUnit: min

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: min

Note: Value should be greater than 0.

Formulas to find Time to Change One Tool

Other Formulas to find Number of Tools Used

Go Number of Tools used given Average Production Cost

N t = N b \cdot \frac{C pr - C t \cdot (t s + t m)}{C t \cdot t c + C t}

Other formulas in Average Production Cost category

Go Total Non-Productive Time using Average Production Cost

T np = \frac{N b \cdot (C pr - C t \cdot t m) - (C t \cdot N t \cdot t c) - (N t \cdot C t)}{C t}

Go Setup Time for Each Product given Average Production Cost

t s = \frac{C pr - C t \cdot t m - (\frac{N t}{N b}) \cdot (C t \cdot t c + C t)}{C t}

Go Total Machining Time using Average Production Cost

T m = \frac{N b \cdot (C pr - C t \cdot t s) - N t \cdot (C t \cdot t c + C t)}{C t}

Go Machining Time for Each Product given Average Production Cost

t m = \frac{C pr - C t \cdot t s - (\frac{N t}{N b}) \cdot (C t \cdot t c + C t)}{C t}

How to Evaluate Number of Tools used given Average Production Time?

Number of Tools used given Average Production Time evaluator uses Number of Tools Used = Batch Size*(Average Production Time-(Setup Time+Machining Time))/Time to Change One Tool to evaluate the Number of Tools Used, The Number of tools used given average production time is a method to determine the maximum number of Tools that can be used for producing a single component when the total amount available for production is known. This calculation helps in understanding the tooling requirements and their impact on the overall production cost. Effective management of tooling costs is essential for optimizing production efficiency and maintaining profitability in manufacturing operations. Number of Tools Used is denoted by N_t symbol.

How to evaluate Number of Tools used given Average Production Time using this online evaluator? To use this online evaluator for Number of Tools used given Average Production Time, enter Batch Size (N_b), Average Production Time (t_p), Setup Time (t_s), Machining Time (t_m) & Time to Change One Tool (t_c) and hit the calculate button.

FAQs on Number of Tools used given Average Production Time

What is the formula to find Number of Tools used given Average Production Time?

The formula of Number of Tools used given Average Production Time is expressed as Number of Tools Used = Batch Size*(Average Production Time-(Setup Time+Machining Time))/Time to Change One Tool. Here is an example- 9 = 2*(141-(27+69))/30.

How to calculate Number of Tools used given Average Production Time?

With Batch Size (N_b), Average Production Time (t_p), Setup Time (t_s), Machining Time (t_m) & Time to Change One Tool (t_c) we can find Number of Tools used given Average Production Time using the formula - Number of Tools Used = Batch Size*(Average Production Time-(Setup Time+Machining Time))/Time to Change One Tool.

What are the other ways to Calculate Number of Tools Used?

Here are the different ways to Calculate Number of Tools Used-

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)

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Number of Tools used given Average Production Time Formula

​GoNumber of Tools used given Average Production Cost Formula

Number of Tools used given Average Production Time Example

Number of Tools used given Average Production Time Solution

Number of Tools used given Average Production Time Formula Elements

Other Formulas to find Number of Tools Used

Other formulas in Average Production Cost category

How to Evaluate Number of Tools used given Average Production Time?

FAQs on Number of Tools used given Average Production Time

Variable Name

GoNumber of Tools used given Average Production Cost Formula