Question

a 300 - acre farm produced 20,000 bushels of corn last year. what is the minimum rate of production, in bushels per acre, that is needed this year so the farms two - year production total will be at least 49,100 bushels of corn?

Explanation:

Step1: Calculate needed production this year

Let the production this year be $x$. We know that last - year's production was 20000 bushels and the two - year total should be at least 49100 bushels. So, $x+20000\geq49100$. Solving for $x$, we get $x\geq49100 - 20000=29100$ bushels.

Step2: Calculate production rate per acre

The farm is 300 acres. To find the production rate $r$ (bushels per acre), we use the formula $r=\frac{x}{300}$. Since $x\geq29100$, then $r=\frac{x}{300}\geq\frac{29100}{300}=97$ bushels per acre.

Answer:

97