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

We want to find an inequality that says how many seeds of each type the farmer can buy.

The inequality is:

$40*x + $32*y ≤ $5,000

The information given is:

Then if he buys seeds for x acres of corn and y acres of soybeans, the total cost is:

cost = $40*x + $32*y

And he wants to spend no more than $5,000, then we have the inequality:

$40*x + $32*y ≤ $5,000

Notice that there are a lot of possible solutions to this inequality, so the inequality actually describes all the different possibilities that the farmer has to not spend more than $5,000 on seeds.

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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.

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

Therefore the linear inequality is:

Next, we graph the inequality

The graph is attached below.

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50

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step-by-step explanation: