Gce Model Questions Vol1 2017 Agricultural Science Question 14

Practice objective / multiple choice question 14 from the 2017 Gce Model Questions Vol1 Agricultural Science examination.

Gce Model Questions Vol1 2017 Agricultural Science Objective / Multiple Choice Hard Difficulty
Question 14 GCE_MODEL_QUESTIONS_VOL1 • 2017 • AGRICULTURAL_SCIENCE • objective

An agricultural extension officer has a budget of ₦1,200,000 to promote integrated pest management (IPM) for cotton. Two programmes are available:\n\n- Programme A: group meetings costing ₦150,000 per session, each reaching 25 farmers. After attending, a farmer adopts IPM with probability 0.48.\n- Programme B: farm visits costing ₦30,000 per visit, each reaching one farmer. Adoption probability after a visit is 0.78.\n\nThe officer can organise any whole number of sessions of A and any whole number of visits of B, provided the total cost does not exceed the budget. Determine the allocation of sessions and visits that maximises the expected number of adopters, and state that maximum expected number.

Answer Options

A. 5 sessions of Programme A and 6 visits of Programme B, expected adopters = 78
B. 7 sessions of Programme A and 2 visits of Programme B, expected adopters = 90
Correct Answer C. 8 sessions of Programme A and 0 visits of Programme B, expected adopters = 96
D. 6 sessions of Programme A and 4 visits of Programme B, expected adopters = 84
Correct Answer
C
Correct Option:
8 sessions of Programme A and 0 visits of Programme B, expected adopters = 96

About This Question

This is Gce Model Questions Vol1 2017 Agricultural Science Question 14. It is one of the objective questions from the 2017 Gce Model Questions Vol1 Agricultural Science examination.

Difficulty level: Hard .

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