Random Thoughts - Part III The Search for Spark (No Politics)

[weederr33]

[NoHaveMSG]

Are you okay @weederr33

[weederr33]

Originally Posted by NoHaveMSG

Are you okay @weederr33

What possibly makes you question this

[NoHaveMSG]

Originally Posted by weederr33

What possibly makes you question this

Badger, Badger, Badger, Badger, Badger, Badger, Badger...............

[weederr33]

Originally Posted by NoHaveMSG

Badger, Badger, Badger, Badger, Badger, Badger, Badger...............

Mushroom, mushroom

[dragoontwo]

Originally Posted by weederr33

Mushroom, mushroom

Snake, a snake! It's a snake!

[ScoobsMcGee]

[cjd]

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.

[Ultramaroon]

Originally Posted by Spuds

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

[mrchristopher]

When someone tells you they have a good system in their car, but secretly you have enough space for an entire home theater

https://www.instagram.com/p/Ca7W4RpglSq/

[Spuds]

Originally Posted by Ultramaroon

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...

[bcj]

???

hatboxes / chains per fortnight?

[Ultramaroon]

Originally Posted by Spuds

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.

[Ultramaroon]

Originally Posted by bcj

???

hatboxes / chains per fortnight?

If needed, we could break everything down to some combination of length, mass, and time.