Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Oct 23, 2023

Write an inequality to represent the minimum cargo weight requirement, where $x$ is the number of shorter containers (45,600 lbs each) and $y$ is the number of longer containers (56,000 lbs each), with a total cargo weight of at least 785,000 lbs.

STEP 1

Assumptions1. $x$ is the number of shorter containers. $y$ is the number of longer containers3. A shorter container can hold45,600 pounds4. A longer container can hold56,000 pounds5. The total weight that needs to be shipped is at least785,000 pounds

STEP 2

We can write an inequality to represent the situation. The total weight that the containers can hold must be greater than or equal to the total weight of the cargo.
$45,600x +56,000y \geq785,000$

STEP 3

This is the inequality in standard form that describes the situation. The left side of the inequality represents the total weight that the containers can hold, and the right side represents the total weight of the cargo.

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