Gce Model Questions Vol1 2025 Agricultural Science Question 39

An agricultural extension officer has a 10‑day period to deliver a new pest‑management practice to 200 smallholder maize farmers. Two delivery methods are available: * Farmer field school (FFS): each session lasts 2 days, requires 2 facilitators, and reaches 30 farmers per day. Effectiveness (probability that a reached farmer adopts the practice) = 0.85. * Radio broadcast (RB): each broadcast occupies 1 day, requires 1 facilitator, and reaches 50 farmers per day. Effectiveness = 0.60. The officer has 3 facilitators available each day. Determine the combination of FFS sessions (integer number) and RB broadcasts (integer number) that maximises the expected number of adopters, subject to the 10‑day time limit and facilitator availability. Provide the optimal numbers of FFS sessions and RB broadcasts and the corresponding expected adopters.