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 farm's two-year production total will be at least 49,100 bushels of corn?
Q. 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 farm's two-year production total will be at least 49,100 bushels of corn?
Given Information: Determine the total production needed for two years.The farm needs to produce at least 49,100 bushels of corn over two years.
Subtract First Year: Subtract the first year's production from the total needed.The farm produced 20,000 bushels last year, so we subtract this from the two-year total to find out how much more is needed.49,100 bushels −20,000 bushels =29,100 bushels
Calculate Minimum Rate: Calculate the minimum rate of production for the second year.The farm has 300 acres, and we need to find out how many bushels per acre it needs to produce to meet the two-year goal.Minimum rate of production =Number of acresNeeded production for the second yearMinimum rate of production =300 acres29,100 bushels
Final Answer: Perform the division to find the minimum rate of production.Minimum rate of production = 300 acres29,100 bushels=97 bushels per acre