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: ryan
Step-by-step explanation:
divide to find out how long it takes for each person to jog a mile
hunter: 30÷4=7.5
ryan: 48÷7=6.85714
6.85714 minutes is faster than 7.5 minutes, therefore ryan jogs faster
The picture in the attached figure
we know that
If line GJ bisects the angle FGH, that means we also know that the angle FGH is divided into two equal sizes.
Now, we have
Angle FGJ = Angle HGJ
Angle GJF = Angle GJH
This information means that angle GHJ = angle GFJ
We have two congruent right-angled triangle
We can then further deduce that
Side GF = Side GH
Since triangle FGJ and triangle GJH are congruent,
then
side FJ equals to side JH
3x-8=16
3x=16+8
3x=24
x=8 units
Hence,
the length of FH = 2×8=16 units
the answer isFH=16 units
52
Step by Step
Let the unknown number be X
X(.75) = 39
Divide both sides
39 divided by .75 is 52
X = 52
Each side<span> of the square measures 6 cm.</span>