Waec Model Questions Vol1 2023 Christian Religious Studies Question 45

A church community plans a six‑week volunteer programme. Each week the total volunteer hours cannot exceed \(30\) hours and must be allocated between two activities: feeding the homeless (Activity F) and visiting the elderly (Activity E). The principle of ‘love your neighbour' requires that in each week the hours for Activity F be at least \(1.5\) times the hours for Activity E. The principle of ‘service efficiency' requires that at least \(5\) hours be devoted to Activity E each week, and that the average weekly hours for Activity E over the six weeks do not exceed \(8\) hours. If the total volunteer hours for the six weeks is exactly \(180\) hours, determine the maximum possible total hours that can be allocated to Activity F, and give one possible weekly distribution of hours that achieves this maximum.