Question

Seed costs for a farmer are $40 per acre for corn and $32 per acre for soybeans. How many acres of each crop should the farmer plant if he wants to spend no more than $5,000 on seed

Answer 1

Answer:

$40x+32y\leq 5,000\\x\geq 0, y\geq 0$

Step-by-step explanation:

Let the number of acre of corn planted =x

Let the number of acre of soybeans planted =y

Seed costs for a farmer are $40 per acre for corn and $32 per acre for soybeans.

• Seed Cost for x acre of corn = $40x
• Seed Cost for y acre of soybeans = $32y

The farmer wants to spend no more than $5,000 on seed.

Therefore the linear inequality is:

$40x+32y\leq 5,000\\x\geq 0, y\geq 0$

Next, we graph the inequality

$When x=0, y\leq156.25\\When y=0, x \leq 125$

The graph is attached below.