On a farm three operations are required for each hectare: land preparation (5 labour‑hours), planting (3 labour‑hours) and weeding (2 labour‑hours). The farm has 50 hectares to cultivate. Two workers are available, each working 8 hours per day. Land preparation must be completed in the first 10 days, planting in the next 15 days and weeding in the final 5 days of a 30‑day period.

(a) What is the maximum number of hectares that can be fully completed (all three operations) within the 30 days?

(b) If an additional worker is hired for the first 10 days, how many additional hectares can now be completed?

Question

On a farm three operations are required for each hectare: land preparation (5 labour‑hours), planting (3 labour‑hours) and weeding (2 labour‑hours). The farm has 50 hectares to cultivate. Two workers are available, each working 8 hours per day. Land preparation must be completed in the first 10 days, planting in the next 15 days and weeding in the final 5 days of a 30‑day period.

(a) What is the maximum number of hectares that can be fully completed (all three operations) within the 30 days?

(b) If an additional worker is hired for the first 10 days, how many additional hectares can now be completed?

Accepted Answer

32 hectares; with extra worker: 40 hectares.

Neco 2020 Agricultural Science Question 32

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