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



= 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

<h2>
Explanation:</h2>
In this exercise, we have the following point:

Let's assume that y varies directly as x, so this implies we can writ y as the product of x and some non-zero real constant k. In a mathematical language:

As you can see, this is the equation of a line whose slope is k and passes through the origin. Therefore, the slope of the line is the constant of proportionality we are looking for:

<h2>Learn more:</h2>
Direct and indirect proportionality: brainly.com/question/10945121
#LearnWithBrainly
Hello,
-2<1 ==> f(x)=3x²-1 =>f(-2)=3*(-2)²-1=3*4-1=12-1=11
<span>I am not sure on this one but I am sure someone will answer soon! :)</span>