A farmeer sells watermelons, cantaloups, and tomatoes from a small cart at a country fair. He needs to sell at least `$200` of produce each day. His watermelons are priced at `$0.50` per pound, his cantaloupes at `$1` per pound, and his tomatos at `$2.50` per pound. His cart can hold no more than 250 pounds. Which of the following inequalities represents this scenario, if w is the number of pounds of watermelons, c is the number of pounds of cantaloupse, and t is the number of pounds of tomatoes ?

Options

A. `0.5w+1c + 2.5tge 200`
`w +c +t le 250`
B. `0.5w +1c +2.5t le 200`
` w +c + t le 250`
C. `0.5w +1c +2.5t ge 200`
`w +c + ge 250`
D. `0.5w +1c+2.5t le200`
`w +c +t ge 250`

Explanation

To represent the scenario of the farmer selling watermelons, cantaloupes, and tomatoes, we need to set up inequalities based on the information provided.

### Step-by-Step Solution:

1. **Define Variables**:
Let:
- \( w \) = pounds of watermelons
- \( c \) = pounds of cantaloupes
- \( t \) = pounds of tomatoes

2. **Set Up the Weight Constraint**:
The total weight of the produce cannot exceed 250 pounds. This can be expressed as:
\[ w + c + t \leq 250 \]

3. **Set Up the Revenue Requirement**:
The farmer needs to sell at least $200 worth of produce. The revenue from each type of produce can be calculated as follows:
- Revenue from watermelons: \( 0.50w \)
- Revenue from cantaloupes: \( 1c \)
- Revenue from tomatoes: \( 2.50t \)

Therefore, the total revenue can be expressed as:
\[ 0.50w + 1c + 2.50t \geq 200 \]

4. **Combine the Inequalities**:
The two inequalities that represent the scenario are:
\[ w + c + t \leq 250 \]
\[ 0.50w + 1c + 2.50t \geq 200 \]

### Final Inequalities:
Thus, the inequalities that represent the scenario are:
1. \( w + c + t \leq 250 \)
2. \( 0.50w + c + 2.50t \geq 200 \)