Question
a farmer wishes to.plant a field with flax according to his budget the total cost of planting and harvesting cannot exceed 12,000 the planting and harvesting costs are 0.015/ square yard for flax what is the maximum area the farmer could plant with flax while keeping within the budget
Answers
GPT-4o mini
To find the maximum area that the farmer can plant with flax while keeping within the budget of \(12,000\), we can set up the following equation based on the cost per square yard:
1. **Cost per square yard**: \(0.015\)
2. **Total budget**: \(12,000\)
The cost to plant a certain area \(A\) (in square yards) can be expressed as:
\[
\text{Total Cost} = \text{Cost per square yard} \times \text{Area} = 0.015 \times A
\]
We need this total cost to be less than or equal to the budget:
\[
0.015A \leq 12,000
\]
Now, we can solve for \(A\):
\[
A \leq \frac{12,000}{0.015}
\]
Calculating the right side:
\[
A \leq 800,000
\]
Thus, the maximum area the farmer could plant with flax while keeping within the budget of \(12,000\) is **800,000 square yards**.
1. **Cost per square yard**: \(0.015\)
2. **Total budget**: \(12,000\)
The cost to plant a certain area \(A\) (in square yards) can be expressed as:
\[
\text{Total Cost} = \text{Cost per square yard} \times \text{Area} = 0.015 \times A
\]
We need this total cost to be less than or equal to the budget:
\[
0.015A \leq 12,000
\]
Now, we can solve for \(A\):
\[
A \leq \frac{12,000}{0.015}
\]
Calculating the right side:
\[
A \leq 800,000
\]
Thus, the maximum area the farmer could plant with flax while keeping within the budget of \(12,000\) is **800,000 square yards**.