A worker uses a forklift to move boxes that weigh either 40 pounds or 65 pounds each. Let x be the number of 40-pound boxes and y be the number of 65-pound boxes. The forklift can carry up to either 45 boxes or a weight of 2,400 pounds. Which of the following systems of inequalities represents this relationship?

Options

A. `{(40x+65y le2","400),(x+y le 45):}`
B. `{((x)/(40)+(y)/(65)le 2","400),(x+y le 45):}`
C. `{(40x+65y le 45),(x+y le 2","400):}`
D. `{(x+y le 2","400),(40x+65y le 2","400):}`

Explanation

To solve the problem, we need to establish two inequalities based on the information given about the boxes and the forklift's capacity.

### Step 1: Define the Variables
Let:
- \( x \) = number of 40-pound boxes
- \( y \) = number of 65-pound boxes

### Step 2: Set Up the First Inequality
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