# Break even Point?

The Break-Even Point?

Rent-A-Dent (RAD) has rental specials on compact cars:

a) Hondas rent for $25 per day and $.24 (24 cents) per mile.

b) Toyotas rent for $31 per day and $.19 (19 cents) per mile.

What is the break-even point for both rental cars, include the mileage and cost????

### 5 Answers

- Jerry PLv 61 decade agoFavorite Answer
25*D + 0.24*M = 31*D + 0.19*M

0.05*M = 6*D

M/D= 120

So you see, the number of days rented AND the mileage are important here! There are in a infinite number of break-even points, depending upon the number of days you plan to have the car, and/or how many miles you plan to drive.

If you plan to have the car a fixed and stated number of days, then you can make a discrete calculation.

For example, if you rent the cars for one day (D=1), then the breakeven mileage = 120.

So: $25 + $0.24*120 = $53.80

Done.

- GolferLv 61 decade ago
31+.19X = 25+.24X

31-25=.19-.24X

6=.05X

X=6/.05 = 120

120 miles is the break even point

The costs is $25+(.24x120)= 25+28.80=$53.80 for the Honda and

$31+(.19x120) = 31+22.80=$53.80 for the Toyota

As pointed out above, you would have to travel the 120 miles each day of the rental

- PoetlandLv 61 decade ago
The break even point is 120 miles and $53.80 for each rental car.

Hondas: 25 + .24x

Toyota: 31 + .19x

At the Break Even point, both will be equal, so

25 + .24x = 31 + .19x

Subtract .19x from both sides and subtract 25 from both sides to get

.05x = 6

Divide both sides by .05

x = 120 miles

If you plan on driving less than 120, then rent a Honda

If you plan on driving more than 120 miles, then rent a Toyota

Of course this is good if you rent for only one day. Multiply 120 miles by number of days you rent to get the amended break-even miles and multiply $53.80 by the number of days you rent to get the amended break-even cost.

- 4 years ago
The breaking point, imho, is the point of zero tolerance of the status quo. The point at which one's brain get deluded, body gets numb, spirit denounced, and self esteem is at its minimum. It is the point at which pain start to have another scope, that would encourage one to be a cutter or a killer, or a suicidal.. It is the point of detachment from the real world, and right then, one would considered dead even if he was still breathing. Your poem, expresses such points skilfully in a poetic tone. I agree with you that no subject should be tabooed in poetry. nevertheless, poetry has its aesthetic aspects that may stir the readers' enthusiasm to evoke what has been read, and your poetry bears a great deal of those aesthetic aspects.

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- santmann2002Lv 71 decade ago
The break even point depends on days and mileage

T= 25d+0.24m

H =31d+0.19m

25d+0.24m= 31d +0.19m

6d+0.05m=0

So the break even points are on a straight line

6x+0.05y =0 where x are the days and y the mileage

y=120x