To determine the number of kanbans required, we can use the following formula:

$$ \text{Number of Kanbans} = \frac{D \times L \times (1 + S)}{Q} $$

where:
- $ D $ is the daily demand,
- $ L $ is the lead time in days,
- $ S $ is the safety stock factor,
- $ Q $ is the optimal production quantity.

Given:
- $ D = 235 $ compressors/day,
- $ L = 6 $ days,
- $ S = 0.15 $ (15% safety stock),
- $ Q = 33 $ units.

Now, substitute the given values into the formula:

$$ \text{Number of Kanbans} = \frac{235 \times 6 \times (1 + 0.15)}{33} $$

First, calculate the numerator:

$$ 235 \times 6 = 1410 $$

Next, include the safety stock factor:

$$ 1410 \times 1.15 = 1621.5 $$

Now, divide by the optimal production quantity:

$$ \frac{1621.5}{33} \approx 49.13 $$

Since the number of kanbans must be a whole number, we round to the nearest whole number:

$$ \text{Number of Kanbans} \approx 49 $$

Therefore, the producer of compressors requires 49 kanbans.

Question

To determine the number of kanbans required, we can use the following formula:

$$ \text{Number of Kanbans} = \frac{D \times L \times (1 + S)}{Q} $$

where:
- $ D $ is the daily demand,
- $ L $ is the lead time in days,
- $ S $ is the safety stock factor,
- $ Q $ is the optimal production quantity.

Given:
- $ D = 235 $ compressors/day,
- $ L = 6 $ days,
- $ S = 0.15 $ (15% safety stock),
- $ Q = 33 $ units.

Now, substitute the given values into the formula:

$$ \text{Number of Kanbans} = \frac{235 \times 6 \times (1 + 0.15)}{33} $$

First, calculate the numerator:

$$ 235 \times 6 = 1410 $$

Next, include the safety stock factor:

$$ 1410 \times 1.15 = 1621.5 $$

Now, divide by the optimal production quantity:

$$ \frac{1621.5}{33} \approx 49.13 $$

Since the number of kanbans must be a whole number, we round to the nearest whole number:

$$ \text{Number of Kanbans} \approx 49 $$

Therefore, the producer of compressors requires 49 kanbans.

Knowee AI · Accepted Answer