Compute ZV Corp's monthly penalty if the government incorrectly uses (weighted) arithmetic mean to compute average mpg. Compute ZV Corp's monthly penalty if the correct Harmonic Mean is used.

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Please help, I've been struggling with this problem. Thanks in acvance for your assistance. Please find the attached.  

 

Each month ZV Corp (Zebra Vehicles where all paint jobs are striped)
makes 230 A vehicles which get 10mpg, 500 B vehicles which get 20mpg, and 70 C
vehicles which get 40mpg. Unfortunately, the government sets a standard where
companies must "average" 30mpg ſthis is called a CAFE law]. Any company that
falls short of the 30mpg standard must pay a penalty. The penalty is calculated as
$200 times number of vehicles sold each month times the deficit in their average
mpg from the 30mpg standard.
• Compute ZV Corp's monthly penalty if the government incorrectly uses
(weighted) arithmetic mean to compute average mpg.
Compute ZV Corp's monthly penalty if the correct Harmonic Mean is used.
zV Corp is beginning to make a D vehicle which gets 75mpg. They estimate
initially adding 2 D vehicles to their production each month. Compute their
new monthly penalty.
Write a summary of this situation (probably multiple paragraphs).
For reference, here is the Harmonic Mean (H) formula for 3 items a,b.c:
1
H
1+4+
3
And, here is the weighted Harmonic Mean (H) formula for 3 items a,b,c with respective
weights w,. w,, W3 :
1
H =
W; + W, +W;
*When you add in the D vehicles, you'll need to figure out how to adjust the weighted
Harmonic Mean formula.
Also, here is the monthly penalty formula (P for Penalty, n for number of cars made/sold
each month, H for average vehicle mpg):
P=$200*n*(30-H)
Transcribed Image Text:Each month ZV Corp (Zebra Vehicles where all paint jobs are striped) makes 230 A vehicles which get 10mpg, 500 B vehicles which get 20mpg, and 70 C vehicles which get 40mpg. Unfortunately, the government sets a standard where companies must "average" 30mpg ſthis is called a CAFE law]. Any company that falls short of the 30mpg standard must pay a penalty. The penalty is calculated as $200 times number of vehicles sold each month times the deficit in their average mpg from the 30mpg standard. • Compute ZV Corp's monthly penalty if the government incorrectly uses (weighted) arithmetic mean to compute average mpg. Compute ZV Corp's monthly penalty if the correct Harmonic Mean is used. zV Corp is beginning to make a D vehicle which gets 75mpg. They estimate initially adding 2 D vehicles to their production each month. Compute their new monthly penalty. Write a summary of this situation (probably multiple paragraphs). For reference, here is the Harmonic Mean (H) formula for 3 items a,b.c: 1 H 1+4+ 3 And, here is the weighted Harmonic Mean (H) formula for 3 items a,b,c with respective weights w,. w,, W3 : 1 H = W; + W, +W; *When you add in the D vehicles, you'll need to figure out how to adjust the weighted Harmonic Mean formula. Also, here is the monthly penalty formula (P for Penalty, n for number of cars made/sold each month, H for average vehicle mpg): P=$200*n*(30-H)
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