In a 10‑ha wheat field, leaf‑rust symptoms are observed on 12 % of the plants. From each hectare a random sample of 200 plants is inspected, and on average 24 plants are infected. Yield loss due to leaf rust is estimated at 0.8 % of potential yield for each 1 % increase in disease incidence (percentage of infected plants). The potential yield without disease is 4.5 t ha⁻¹ and the market price of wheat is ₦150,000 t⁻¹.

(a) Calculate the expected yield per hectare after disease and the corresponding economic loss.

(b) A fungicide reduces disease incidence by 70 %. Re‑calculate the expected yield and economic loss after treatment.

Question

In a 10‑ha wheat field, leaf‑rust symptoms are observed on 12 % of the plants. From each hectare a random sample of 200 plants is inspected, and on average 24 plants are infected. Yield loss due to leaf rust is estimated at 0.8 % of potential yield for each 1 % increase in disease incidence (percentage of infected plants). The potential yield without disease is 4.5 t ha⁻¹ and the market price of wheat is ₦150,000 t⁻¹.

(a) Calculate the expected yield per hectare after disease and the corresponding economic loss.

(b) A fungicide reduces disease incidence by 70 %. Re‑calculate the expected yield and economic loss after treatment.

Accepted Answer

Yield 4.07 t/ha, loss ₦64,800; after treatment yield 4.37 t/ha, loss ₦19,440

Gce Model Questions Vol1 2024 Agricultural Science Question 48

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