{"id":"lead-stack-rank-projects-capacity-table","audience":"executives","category":"leadership-work","track":"leadership","level":"intermediate","technique":"constraints","title":"Stack-rank six projects against a capacity limit and show who is cut","free":false,"task":"Rank the six projects by value per engineer-week (value points divided by engineer-weeks, one decimal; break ties by fewer weeks first), then fund them in rank order until the 24 engineer-week limit is reached without exceeding it. Output a markdown table with columns Rank, Project, Score, Weeks, Funded (yes/no). Then one line: Funded weeks: N of 24. Use the revised estimate for Atlas.","materialLabel":"Project list (attached to your prompt automatically)","material":"Q2 project candidates (value in points from the exec vote; effort in engineer-weeks)\n\nAtlas: value 90, effort 12 weeks. REVISED: effort is now 9 weeks after scope trimmed.\nBirch: value 40, effort 5 weeks.\nCedar: value 60, effort 10 weeks.\nDune: value 30, effort 3 weeks.\nEmber: value 48, effort 8 weeks.\nFlint: value 20, effort 5 weeks.\n\nCapacity: 24 engineer-weeks total.\nRule: Fund in rank order; if a project does not fit in the remaining weeks, skip it and keep trying lower-ranked ones.\nThe CEO likes Ember but ranking is by score only.","rules":[{"type":"maxWords","max":150}],"mistakes":[{"title":"Old estimate","why":"The AI uses 12 weeks for Atlas.","fix":"Say: \"Atlas is 9 weeks now.\"","checks":["r0"]},{"title":"Not skipping","why":"The AI stops at the first project that does not fit.","fix":"Say: \"Skip projects that don't fit and keep going.\"","checks":["r1"]},{"title":"Favoring the CEO's pick","why":"The AI funds Ember.","fix":"Say: \"Ranking is by score only.\"","checks":["r2"]},{"title":"Missing the total","why":"The AI omits the funded-weeks line.","fix":"Say: \"End with Funded weeks: N of 24.\"","checks":["r2"]},{"title":"Trusting the AI to count words","why":"AI is bad at counting. Ask for a total word limit and it often lands over it.","fix":"Cap it: \"table cells hold only short values.\"","checks":["maxWords"]},{"title":"Trusting the AI to count words","why":"AI is bad at counting. Ask for a total word limit and it often lands over it.","fix":"Cap each part instead, for example: \"each line under 12 words.\"","checks":["maxWords"]}],"promptHints":[{"label":"Columns","patterns":["rank","project","score","weeks","funded"]},{"label":"Score","patterns":["value","divided","per engineer-week"]},{"label":"Skip rule","patterns":["skip","keep trying","doesn'?t fit"]},{"label":"Total line","patterns":["funded weeks"]},{"label":"Revised","patterns":["revised","9 weeks"]}],"hint":"Name the columns, explain the score and the skip rule, and require the total line.","rubricLabels":["The table has columns Rank, Project, Score, Weeks and Funded with six rows ordered from the highest to the lowest score (Dune and Atlas 10.0, Birch 8.0, Cedar and Ember 6.0, Flint 4.0), with Atlas using 9 weeks","Dune, Atlas, Birch and Flint are funded and Cedar and Ember are not funded because they do not fit in the remaining weeks (17 used by the first three, leaving 7)","The final line reads \"Funded weeks: 22 of 24\" and Ember is not funded despite the CEO preference"]}