Which expression is equivalent to
2 answers:
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Our first function is g(x). <em>Al had two dozen donuts </em>means that <em>two dozen</em> is the y-intercept of this function. A dozen equals 12, therefore two dozens is 24. <em>Every cubicle he passed, he lost 2 donuts </em>is the slope of the function and it is negative, that is -2, thus:
The second equation is h(x):
So:
From the graph, we can see that the f(x) intersects the y-axis at:
Accordingly, h(x) has the lowest y intercept.
<em>In conclusion, the right answer is c.h(x)</em>
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