Answer:
![N_c \approx 5.0](https://tex.z-dn.net/?f=N_c%20%5Capprox%205.0)
Step-by-step explanation:
From the question we are told that:
Waiting time for a container of the wheels during production ![T_w=0.25day](https://tex.z-dn.net/?f=T_w%3D0.25day)
Average processing time is ![T_a=0.15 day per container](https://tex.z-dn.net/?f=T_a%3D0.15%20day%20per%20container)
Wheel per container ![N_w=200](https://tex.z-dn.net/?f=N_w%3D200)
Total wheel per day ![D=2000](https://tex.z-dn.net/?f=D%3D2000)
Policy variable of
Generally the equation for Total number of container
is mathematically given by
![N_c=DT(\frac{1+X}{N_w} )](https://tex.z-dn.net/?f=N_c%3DDT%28%5Cfrac%7B1%2BX%7D%7BN_w%7D%20%29)
Where
Total time ![T=T_w+T_a](https://tex.z-dn.net/?f=T%3DT_w%2BT_a)
![T=0.15+0.25](https://tex.z-dn.net/?f=T%3D0.15%2B0.25)
Therefore
![N_c=DT(\frac{1+X}{N_w} )](https://tex.z-dn.net/?f=N_c%3DDT%28%5Cfrac%7B1%2BX%7D%7BN_w%7D%20%29)
![N_c=2000*0.40(\frac{1+0.5}{200} )](https://tex.z-dn.net/?f=N_c%3D2000%2A0.40%28%5Cfrac%7B1%2B0.5%7D%7B200%7D%20%29)
![N_c=(\frac{840}{200} )](https://tex.z-dn.net/?f=N_c%3D%28%5Cfrac%7B840%7D%7B200%7D%20%29)
![N_c=4.2](https://tex.z-dn.net/?f=N_c%3D4.2)
![N_c \approx 5.0](https://tex.z-dn.net/?f=N_c%20%5Capprox%205.0)
Therefore the number of Kanban containers needed for the wheels is
![N_c \approx 5.0](https://tex.z-dn.net/?f=N_c%20%5Capprox%205.0)
Step-by-step explanation:
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Answer:
36 hours
Step-by-step explanation:
3/4 divided by 1/48
KCF
3/4*48/1= 144/4= 36
Answer:
![x^{\frac{21}{4} }](https://tex.z-dn.net/?f=x%5E%7B%5Cfrac%7B21%7D%7B4%7D%20%7D)
Step-by-step explanation:
Given expression is:
![(\sqrt[8]{x^7} )^{6}](https://tex.z-dn.net/?f=%28%5Csqrt%5B8%5D%7Bx%5E7%7D%20%29%5E%7B6%7D)
First we will use the rule:
![\sqrt[n]{x} = x^{\frac{1}{n} }](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Bx%7D%20%3D%20x%5E%7B%5Cfrac%7B1%7D%7Bn%7D%20%7D)
So for the given expression:
![\sqrt[8]{x^{7}}=(x^{7} )^{\frac{1}{8} }](https://tex.z-dn.net/?f=%5Csqrt%5B8%5D%7Bx%5E%7B7%7D%7D%3D%28x%5E%7B7%7D%20%29%5E%7B%5Cfrac%7B1%7D%7B8%7D%20%7D)
We will use tha property of multiplication on powers:
![=x^{7*\frac{1}{8} }](https://tex.z-dn.net/?f=%3Dx%5E%7B7%2A%5Cfrac%7B1%7D%7B8%7D%20%7D)
![= x^{\frac{7}{8} }](https://tex.z-dn.net/?f=%3D%20x%5E%7B%5Cfrac%7B7%7D%7B8%7D%20%7D)
Applying the outer exponent now
![(x^{\frac{7}{8} })^6](https://tex.z-dn.net/?f=%28x%5E%7B%5Cfrac%7B7%7D%7B8%7D%20%7D%29%5E6)
![= x^{\frac{7}{8}*6 } \\= x^{\frac{42}{8} }\\= x^{\frac{21}{4} }](https://tex.z-dn.net/?f=%3D%20x%5E%7B%5Cfrac%7B7%7D%7B8%7D%2A6%20%7D%20%5C%5C%3D%20x%5E%7B%5Cfrac%7B42%7D%7B8%7D%20%7D%5C%5C%3D%20x%5E%7B%5Cfrac%7B21%7D%7B4%7D%20%7D)
17:2 equals is 17/19 of the whole and part b is 2/19 of the whole