A project manager needs to allocate a staff of 460 employees to a 3-stage project. Stage 2 must have 20% more staff than Stage 1. Stage 3 required 50% more than Stage 2. Determine the number of employees needed for stage 1, 2 and 3 respectively.
A) Stage 1 = 115; Stage 2 = 138; Stage 3 = 207
B) Stage 1 = 120; Stage 2 = 120; Stage 3 = 320
C) Stage 1 = 320; Stage 2 = 120; Stage 3 = 120
D) Stage 1 = 207; Stage 2 = 115; Stage 3 = 138
E) Stage 1 = 200; Stage 2 = 100; Stage 3 = 60

Question

Quizplus · Accepted Answer

Let the number of employees in Stage 1 be x. Stage 2 will then have 1.2x employees (20% more than Stage 1), and Stage 3 will have 1.5 * 1.2x = 1.8x employees (50% more than Stage 2). The total is x + 1.2x + 1.8x = 4x = 460, solving for x gives x = 115. Therefore, Stage 1 = 115, Stage 2 = 138 (1.2 * 115), and Stage 3 = 207 (1.8 * 115).

A Project Manager Needs to Allocate a Staff of 460