Neco 2018 Civic Education Question 13

The Corruption Perception Index (CPI) for a country is a weighted average of three components: public‑sector integrity (weight 0.5), judiciary independence (weight 0.3) and media freedom (weight 0.2). Each component is scored out of 100. Currently the scores are: integrity \(45\), judiciary \(55\) and media \(60\). The government wants the overall CPI to reach at least \(70\) within five years. Each year the integrity score can be improved by at most 4 points, the judiciary score by at most 3 points and the media score by at most 2 points. Assuming the country improves each component by its maximum possible amount every year, will the target be achievable? If not, what is the highest overall CPI attainable after five years under these constraints? Give your answer to one decimal place.