Break-even duration

Equipment rents on three rates — a day rate, a week rate and a 28-day rate — and the cheapest one changes as the job runs long. This finds the two days where it changes, on a real listing’s real published rates.

Cummins P4500i Portable Inverter Generator

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MICHAEL PENKOFF · Generators - Gas

Day
$89
Week
$350
28 days
$940

Daily stops winning on

day 4

4 days at the day rate would be $356. On the week rate it is $350.

Weekly stops winning on

day 17

17 days at the day rate would be $1,513. On the 28-day rate it is $940.

The working

Whole weeks bill at the week rate; the leftover days bill at the day rate but never add up to more than one extra week; and a whole 28-day cycle never costs more than the 28-day rate. That is the rule, applied one day at a time.

Rental price by duration for Cummins P4500i Portable Inverter Generator, days 1 to 35
DaysAt the day rateOn the ladderDifferenceRate in play
1$89$89—day
2$178$178—day
3$267$267—day
4$356$350you save $6week
5$445$350you save $95week
6$534$350you save $184week
7$623$350you save $273week
8$712$439you save $273week
9$801$528you save $273week
10$890$617you save $273week
11$979$700you save $279week
12$1,068$700you save $368week
13$1,157$700you save $457week
14$1,246$700you save $546week
15$1,335$789you save $546week
16$1,424$878you save $546week
17$1,513$940you save $57328-day
18$1,602$940you save $66228-day
19$1,691$940you save $75128-day
20$1,780$940you save $84028-day
21$1,869$940you save $92928-day
22$1,958$940you save $1,01828-day
23$2,047$940you save $1,10728-day
24$2,136$940you save $1,19628-day
25$2,225$940you save $1,28528-day
26$2,314$940you save $1,37428-day
27$2,403$940you save $1,46328-day
28$2,492$940you save $1,55228-day
29$2,581$1,029you save $1,552day
30$2,670$1,118you save $1,552day
31$2,759$1,207you save $1,552day
32$2,848$1,290you save $1,558week
33$2,937$1,290you save $1,647week
34$3,026$1,290you save $1,736week
35$3,115$1,290you save $1,825week

Rental rates only. Protection and the marketplace service fee are added on top — see the checkout figure below.

What checkout will quote you

Rental · 17 days
$940
Rental protection (RPP)
$141
Service fee
$94
Estimated total
$1,175

Pick a listing

The numbers come from one operator’s published rates, so the tool needs to know whose.

Where these numbers come from

The rates are the operator’s own, read live from their listing. The arithmetic is the same best-price billing engine that produces 2Quip invoices — not a second copy written for this page — run on the industry-standard terms: a 28-day cycle, whole weeks at the week rate, leftover days at the day rate capped at one more week.

An operator can agree different terms on an individual rental, and a long rental bills per 28-day cycle rather than in one lump. So treat this as what the rate card says, and the operator’s quote as what you are agreeing to.