Answer:
a. 21 327 hot dogs/run
b. 70 runs/yr
c. 4 da/run
Step-by-step explanation:
Data:
Production rate (p) = 5000/da
Usage rate (u) = 260/da
Setup cost (S) = $66
Annual carrying cost (H) = $0.45/hot dog
Production days (d) = 294 da
Calculations:
a. Optimal run size
(i) Annual demand (D) = pd = (5000 hot dogs/1 day) × (294 days/1 yr)
= 1 470 000 hot dogs/yr
(ii) Economic run size
![Q_{0}= \sqrt{\frac{2DS }{ h}\times\frac{ p}{p-u }}](https://tex.z-dn.net/?f=Q_%7B0%7D%3D%20%5Csqrt%7B%5Cfrac%7B2DS%20%7D%7B%20h%7D%5Ctimes%5Cfrac%7B%20p%7D%7Bp-u%20%7D%7D)
![= \sqrt{431200000\times\frac{ 5000}{4740 }}](https://tex.z-dn.net/?f=%3D%20%5Csqrt%7B431200000%5Ctimes%5Cfrac%7B%205000%7D%7B4740%20%7D%7D)
![= \sqrt{454852321}](https://tex.z-dn.net/?f=%3D%20%5Csqrt%7B454852321%7D)
= 21 327 hot dogs/run
b. Number of runs per year
Runs = D/Q₀ = (1 470 000 hot dogs/1yr) × (1 run/21 327 hotdogs)
= 70 runs/yr
c. Length of a run
Length = Q₀/p = (21 327 hot dogs/1 run) × (1 da/5000 hot dogs)
= 4 da/run
Answer : 23.77
Pythagoras theorem states that in any right angled triangle , the sum of squares of base and perpendicular is equal to the square of hypotenuse .
- Here in the given figure , hypotenuse is 30.5 and perpendicular is 19.1 .
![\sf\longrightarrow (base)^2+(perpendicular)^2=hypotenuse^2\\](https://tex.z-dn.net/?f=%5Csf%5Clongrightarrow%20%28base%29%5E2%2B%28perpendicular%29%5E2%3Dhypotenuse%5E2%5C%5C)
- Substituting the respective values,
![\sf\longrightarrow x^2 +(19.1)^2 = (30.5)^2 \\](https://tex.z-dn.net/?f=%5Csf%5Clongrightarrow%20x%5E2%20%2B%2819.1%29%5E2%20%3D%20%2830.5%29%5E2%20%5C%5C)
![\sf\longrightarrow x^2 + 364.81 = 930.25 \\](https://tex.z-dn.net/?f=%5Csf%5Clongrightarrow%20x%5E2%20%2B%20364.81%20%3D%20930.25%20%5C%5C)
![\sf\longrightarrow x^2 = 930.25 -364.81\\](https://tex.z-dn.net/?f=%5Csf%5Clongrightarrow%20x%5E2%20%3D%20930.25%20-364.81%5C%5C)
![\sf\longrightarrow x^2 = 565.44\\](https://tex.z-dn.net/?f=%5Csf%5Clongrightarrow%20x%5E2%20%3D%20565.44%5C%5C)
![\sf\longrightarrow x=\sqrt{565.44} \\](https://tex.z-dn.net/?f=%5Csf%5Clongrightarrow%20x%3D%5Csqrt%7B565.44%7D%20%5C%5C)
![\sf\longrightarrow \underline{\boxed{\bf base (x) = 23.77 }} \\](https://tex.z-dn.net/?f=%5Csf%5Clongrightarrow%20%5Cunderline%7B%5Cboxed%7B%5Cbf%20base%20%28x%29%20%3D%2023.77%20%7D%7D%20%5C%5C)
Let me know if you have any queries in the comment section !
Answer:
y=3x+3
Step-by-step explanation:
The y-intercept is at 3.
If you do rise over run, you get 3/1. Simplify to 3. Hope this helps.
No.
The first two is okay. Then
Then
4 | 64
8|128
9|144
10|160