Neco Model Questions Vol1 2018 Government Question 9

A public agency evaluates its performance each year using a weighted performance index (WPI). The index is composed of three indicators: Service Delivery (weight \(0.5\)), Financial Management (weight \(0.3\)), and Citizen Satisfaction (weight \(0.2\)). Scores for each indicator are out of \(100\). In year 1 the agency scored \(78\) in Service Delivery, \(85\) in Financial Management and \(70\) in Citizen Satisfaction, giving a WPI of \(78.5\).\n\nFor year 2 the agency may improve each indicator by at most \(4\) points. Improving Service Delivery costs twice as much as improving Financial Management and three times as much as improving Citizen Satisfaction. The agency's improvement budget is equivalent to \(8\) "Citizen Satisfaction" points.\n\nWhat is the maximum WPI the agency can achieve in year 2 under these constraints?