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Old 03-30-2022, 06:32 PM   #533
weederr33
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Old 03-30-2022, 09:02 PM   #534
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Are you okay @weederr33
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Old 03-30-2022, 09:13 PM   #535
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Are you okay @weederr33
What possibly makes you question this
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Old 03-30-2022, 09:19 PM   #536
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Quote:
Originally Posted by weederr33 View Post
What possibly makes you question this
Badger, Badger, Badger, Badger, Badger, Badger, Badger...............
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Old 03-30-2022, 09:25 PM   #537
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Badger, Badger, Badger, Badger, Badger, Badger, Badger...............
Mushroom, mushroom
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Old 03-30-2022, 09:32 PM   #538
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Mushroom, mushroom
Snake, a snake! It's a snake!
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Old 03-30-2022, 09:59 PM   #539
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Old 03-30-2022, 10:32 PM   #540
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So far found 2 (or 3?) errors/omissions in our prepared tax returns... Given all the legal stuff and supplemental paperwork we have this year, still worth it but geeze. I wonder how many people don't even bother to review the numbers.


So much for a nice relaxing evening.
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Old 03-31-2022, 01:03 AM   #541
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Quote:
Originally Posted by Spuds View Post
Let Y be cost, X be distance, Pr be price of regular, and Pp be price of Premium. Assume mpg is a constant.

For the truck:
Yt = (Pr/12)X

For the car:
Yc = (Pp/20)X

What we want to know is what prices cause the rate of cost for the car and truck to be equal. Thus:

Y't = Y'c
(The derivative of Y is Y', and we want to set both equal to each other)

Therefore:

Pr/12 = Pp/20 --> Pr/Pp = 12/20 = 3/5 = 0.6

So when the ratio of regular price to premium price is 3:5 then it is a wash. If the ratio is closer (eg 4:5), then it will cost less per mile to drive the car with premium gas. If the ratio is farther (2:5) then it will be more cost efficient to drive the truck. If your mpg changes, that changes the crossover ratio.

TLDR: If premium is $5.60/gal, then regular would have to be $3.36/gal or less to make driving the truck more cost efficient, assuming your mpg numbers are accurate.

Also, imma be real embarrassed if I did that wrong...
I'd like to revisit this because I finally got around to doing it for myself and think it's important to confess how much trouble I had with it. One of the most important concepts I learned in school was unit agreement. I rarely got it right until I learned to keep those pesky units in the mix. Spoiler alert - we agree.

Our units are dollars, gallons, and miles.

price per gallon of premium
price per gallon of regular

miles per gallon of premium (car)
miles per gallon of regular (truck)

$p/gal
$r/gal

mip/gal
mir/gal

$/gal(gal/mi)=$/mi

we break even when

$p/mip=$r/mir

so, as you also concluded,

$p(mir)/mip=$r
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Old 03-31-2022, 07:45 AM   #542
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When someone tells you they have a good system in their car, but secretly you have enough space for an entire home theater

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Old 03-31-2022, 08:40 AM   #543
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Quote:
Originally Posted by Ultramaroon View Post
I'd like to revisit this because I finally got around to doing it for myself and think it's important to confess how much trouble I had with it. One of the most important concepts I learned in school was unit agreement. I rarely got it right until I learned to keep those pesky units in the mix. Spoiler alert - we agree.
Lol same here. I can't remember equations at all, but if you know what units you have and what units you want you can usually find what you need.

Usually...
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Old 03-31-2022, 11:50 AM   #544
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???

hatboxes / chains per fortnight?
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Old 03-31-2022, 02:29 PM   #545
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Usually...
Indeed!

edit: I didn't look at yours until after I was satisfied with what I had. Well done with the derivative for the ratio! That concept has always been tough for me to incorporate. For loving it so much, I really suck at applied math.
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Old 03-31-2022, 02:35 PM   #546
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???

hatboxes / chains per fortnight?
If needed, we could break everything down to some combination of length, mass, and time.
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