Gce Model Questions Vol1 2018 Government Question 23

The Judicial Independence Index (JII) is calculated by the formula\n\[\text{JII}=10-7p+0.2t,\]\nwhere \(p\) is the proportion (as a decimal) of judges appointed by the executive and \(t\) is the average number of years of tenure security for judges.\n\nCurrently, \(p=0.40\) and \(t=8\). The government wishes to raise the JII to at least \(9.0\). Reducing the proportion \(p\) by \(0.05\) (i.e., a five‑percentage‑point reduction) costs \(2\%\) of the current judicial budget, and each additional year of tenure security costs \(1\%\) of the budget. The current judicial budget is £120 million, and the government can increase the budget by at most \(4\%\).\n\nCan the target JII be achieved within the budget limit? If so, specify the minimum change(s) required.