Question

question 13
1 pts
standard: (a.par.4.2)

each large package, l, weighs 60 pounds and each small package, s, weighs 25 pounds. a delivery driver
weighs 150 pounds and needs to deliver packages on an elevator that has a 2,000 pound weight limit.

which constraint represents the number of large and small packages that can be placed on the elevator with
the driver?

60l + 25s ≥ 1,850

60l + 25s ≥ 2,000

60l + 25s ≤ 1,850

60l + 25s ≤ 2,000

Explanation:

Step1: Calculate the available weight for packages

The elevator has a weight limit of 2000 pounds and the driver weighs 150 pounds. So the available weight for packages is \(2000 - 150=1850\) pounds.

Step2: Analyze the weight relationship

Each large package \(l\) weighs 60 pounds and each small package \(s\) weighs 25 pounds. The total weight of the packages \(60l + 25s\) must be less than or equal to the available weight for packages. So the inequality is \(60l+25s\leq1850\).

Answer:

\(60l + 25s\leq1,850\) (the third option)