Answer :
- Define $c$ as the number of crates.
- Express the total weight as $3800 + 110c$.
- Set up the inequality $3800 + 110c
leq 23000$.
- The inequality representing the situation is $23000
geq 3800 + 110c$.
### Explanation
1. Understanding the Problem
We want to find the inequality that represents the given situation. The total weight of the crates and other shipments must be less than or equal to the maximum weight the container can hold.
2. Defining the Variable
Let $c$ be the number of 110-kilogram crates. The weight of the crates is $110c$ kilograms.
3. Calculating the Total Weight
The total weight is the sum of the weight of the crates and the weight of the other shipments, which is $3800 + 110c$ kilograms.
4. Forming the Inequality
The total weight must be less than or equal to the maximum weight, so $3800 + 110c
leq 23000$. This can also be written as $23000
geq 3800 + 110c$.
5. Final Answer
Therefore, the inequality that represents the situation is $23000
geq 3800 + 110c$.
### Examples
Understanding inequalities is crucial in logistics and supply chain management. For instance, a delivery company needs to determine the maximum number of packages they can load onto a truck while staying within the truck's weight limit. This problem is similar to determining how many crates can be loaded onto a shipping container, ensuring that the total weight does not exceed the container's capacity. By using inequalities, logistics professionals can optimize loading strategies, ensuring safety and efficiency in transportation.
- Express the total weight as $3800 + 110c$.
- Set up the inequality $3800 + 110c
leq 23000$.
- The inequality representing the situation is $23000
geq 3800 + 110c$.
### Explanation
1. Understanding the Problem
We want to find the inequality that represents the given situation. The total weight of the crates and other shipments must be less than or equal to the maximum weight the container can hold.
2. Defining the Variable
Let $c$ be the number of 110-kilogram crates. The weight of the crates is $110c$ kilograms.
3. Calculating the Total Weight
The total weight is the sum of the weight of the crates and the weight of the other shipments, which is $3800 + 110c$ kilograms.
4. Forming the Inequality
The total weight must be less than or equal to the maximum weight, so $3800 + 110c
leq 23000$. This can also be written as $23000
geq 3800 + 110c$.
5. Final Answer
Therefore, the inequality that represents the situation is $23000
geq 3800 + 110c$.
### Examples
Understanding inequalities is crucial in logistics and supply chain management. For instance, a delivery company needs to determine the maximum number of packages they can load onto a truck while staying within the truck's weight limit. This problem is similar to determining how many crates can be loaded onto a shipping container, ensuring that the total weight does not exceed the container's capacity. By using inequalities, logistics professionals can optimize loading strategies, ensuring safety and efficiency in transportation.
