{"id":"fpa-utilization-gap-lines","audience":"fpa","category":"finance-work","track":"finance","technique":"verification","level":"intermediate","title":"Compute team utilization and the hours needed to reach the target","free":false,"task":"You're reviewing a consulting team's utilization. Write a prompt for plain text with lines starting \"Available hours:\", \"Utilization:\", \"Gap to target:\" and \"Hours to close gap:\", each with the math. Available hours are already net of leave. Don't mention the manager's explanation about client delays. Under 70 words. No bullets or numbering.","materialLabel":"Team hours and target (attached to your prompt automatically)","material":"UTILIZATION INPUTS - Delivery team, October 2026, Delmar Systems\n\nTeam: 5 consultants. Available hours per consultant in October (after holidays and leave): 160.\nBillable hours logged in October: 560.\nUtilization target: 75%.\n\nMethod: utilization = billable hours / available hours. Gap to target = target minus utilization, in percentage points. Hours to close gap = gap x available hours.\n\nNotes: the delivery manager said 'two projects were delayed by clients, so billable hours were lost'. That explanation isn't part of this calculation. Available hours are already net of leave and holidays.","rules":[{"type":"plainText"},{"type":"maxWords","max":70},{"type":"maxBullets","max":0}],"promptHints":[{"label":"Names the four lines","patterns":["available hours","utilization","gap to target","hours to close gap"]},{"label":"Gives the formulas","patterns":["560 / 800","x 800"]},{"label":"Gives points","patterns":["points"]},{"label":"Bans the explanation","patterns":["(do not|don'?t).*(explanation|delay)"]},{"label":"Caps length","patterns":["\\d+\\s*words","plain"]}],"mistakes":[{"title":"Using total hours","why":"The AI divides by 5 x 40 x 4 or by 2,080.","fix":"Say: \"Available hours = 5 x 160 (already net of leave).\"","checks":["r0"]},{"title":"Explaining the gap","why":"The AI mentions client delays.","fix":"Add: \"Do not mention the manager's explanation or client delays.\"","checks":["r2"]},{"title":"Gap in percent of target","why":"The AI computes 6.7% of 75%.","fix":"Add: \"Gap in percentage points: target minus utilization.\"","checks":["r1"]},{"title":"Markdown extras","why":"The AI adds bold labels, headings and a closing note.","fix":"Say: \"Plain text, no bold. Output only the lines asked for.\"","checks":["plainText","maxBullets"]},{"title":"Trusting the AI to count words","why":"AI is bad at counting and runs past word limits.","fix":"Ask for fewer words than the real cap and keep each line short.","checks":["maxWords"]}],"hint":"Utilization uses available hours net of leave. Give the formulas and the ban on explanations.","rubricLabels":["The line starting \"Available hours:\" shows 5 x 160 = 800 and the line starting \"Utilization:\" shows 560 / 800 = 70.0%","The line starting \"Gap to target:\" shows 75.0% - 70.0% = 5.0 points","The line starting \"Hours to close gap:\" shows 5.0% x 800 = 40 hours, and the output never mentions the manager's explanation or client delays"]}