Gce Model Questions Vol1 2023 Government Question 34

Practice objective / multiple choice question 34 from the 2023 Gce Model Questions Vol1 Government examination.

Gce Model Questions Vol1 2023 Government Objective / Multiple Choice Hard Difficulty
Question 34 GCE_MODEL_QUESTIONS_VOL1 • 2023 • GOVERNMENT • objective

A local council has an annual budget of £12 million that must be divided among three services: Education (E), Health (H) and Infrastructure (I). The statutory minima are: E ≥ 30 %, H ≥ 25 %, I ≥ 20 % of the total budget. The remaining funds may be allocated arbitrarily, but the ratio of Education to Infrastructure must not exceed 2 : 1 (i.e. E ≤ 2I). The council wishes to maximise the performance index \(P=0.5E+0.3H+0.2I\), where E, H and I are the percentages allocated to each service (expressed as whole numbers). Determine the allocation (E, H, I) that maximises P and give the maximum value of P.

Answer Options

A. E = 48 %, H = 27 %, I = 25 %; maximum P = 37.1
B. E = 50 %, H = 20 %, I = 30 %; maximum P = 37.0
C. E = 45 %, H = 30 %, I = 25 %; maximum P = 36.5
Correct Answer D. E = 50 %, H = 25 %, I = 25 %; maximum P = 37.5
Correct Answer
D
Correct Option:
E = 50 %, H = 25 %, I = 25 %; maximum P = 37.5

About This Question

This is Gce Model Questions Vol1 2023 Government Question 34. It is one of the objective questions from the 2023 Gce Model Questions Vol1 Government examination.

Difficulty level: Hard .

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