In the limit
we're interested in the value that converges to as
gets closer to
. So in fact
.
In the given example, is factorized to reveal a common factor of
in the numerator and denominator. We have
if
, so
so we can simplify
and *remove* the discontinuity.
Then
Answer:
Step-by-step explanation:
500m = profit on mid-sized cars
750s = profit on SUVs
500m + 750s = total profit
You have two conditions:
(1) 500m + 750s ≥ 3500
(2) m ≥ 2s
Let s = 2
Check condition (1)
500m + 750 × 2 ≥ 3500
500m + 1500 ≥ 3500
500m ≥ 2000
m ≥ 4
Check condition (2)
(2) m ≥ 2 × 2
m ≥ 4
Check:
500 × 4 + 750 × 2 ≥ 3500 4 ≥ 2 × 2
2000 + 1500 ≥ 3500 4 ≥ 4
3500 ≥ 3500
OK.