Percentage Yield
% yield = (actual yield ÷ theoretical yield) × 100
The maximum theoretical net primary production of wheat crops is approximately 200 kg m⁻² yr⁻¹. A wheat farmer finds that her crops have a net primary production of only 50 kg m⁻² yr⁻¹. Calculate the percentage yield of her wheat crops and explain why the percentage yield is not 100%.
Step 1: Write out the equation and substitute in the known values
% yield = (actual yield ÷ theoretical yield) × 100
% yield = (50 ÷ 200) × 100
Step 2: Calculate the % yield
% yield = 0.25 × 100
% yield = 25%
Step 3: Explain why the percentage yield is not 100%
A cattle farmer estimates that over a five year period, the final biomass of his herd of cattle should be 15,000 kg. At the end of the five years, when the cattle are ready for human consumption, the farmer calculates that the percentage yield is an impressive 90%. Calculate the actual biomass of the herd of cattle at the end of the five years.
Step 1: Rearrange the equation
% yield = (actual yield ÷ theoretical yield) × 100
Actual yield = (% yield × theoretical yield) ÷ 100
Step 2: Substitute in the known values and calculate the actual yield
Actual yield = (90 × 15,000) ÷ 100
Actual yield = 1,350,000 ÷ 100
Actual yield = 13,500
Step 3: Give the appropriate units
The actual yield of the herd of cattle is 13,500 kg
转载自savemyexams
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