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{"name": "Musa's SIT316 MO-Simplex Method", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Musa's SIT316 MO-Simplex Method", "tags": [], "metadata": {"description": "<p>This question tests the student's ability to solve Linear Programming problems by hand using the Simplex Method.</p>", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "", "advice": "", "rulesets": {}, "extensions": [], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"a1": {"name": "a1", "group": "part a", "definition": "random(0..5)", "description": "", "templateType": "anything", "can_override": false}, "b1": {"name": "b1", "group": "part a", "definition": "random(1..4)", "description": "", "templateType": "anything", "can_override": false}, "a2": 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"if(y2-y1=0, 1, y2-y1)", "description": "", "templateType": "anything", "can_override": false}, "f": {"name": "f", "group": "part a", "definition": "[f1,f2,f3]", "description": "", "templateType": "anything", "can_override": false}, "f1": {"name": "f1", "group": "part a", "definition": "ox*a1+oy*b1", "description": "", "templateType": "anything", "can_override": false}, "f0": {"name": "f0", "group": "part a", "definition": "ox*a1+oy*0", "description": "", "templateType": "anything", "can_override": false}, "f2": {"name": "f2", "group": "part a", "definition": "ox*a2+oy*b2", "description": "", "templateType": "anything", "can_override": false}, "f3": {"name": "f3", "group": "part a", "definition": "ox*a3+oy*b3", "description": "", "templateType": "anything", "can_override": false}, "f4": {"name": "f4", "group": "part a", "definition": "ox*a3+oy*0", "description": "", "templateType": "anything", "can_override": false}, "f_sorted": {"name": "f_sorted", "group": "part a", "definition": "vector(sort(f))", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [{"name": "part a", "variables": ["a1", "b1", "a2", "b2", "a3", "b3", "c11", "c12", "c1", "c2", "c3", "c21", "c22", "c31", "c32", "i", "x22", "x2", "y22", "y2", "x1", "y1", "ox", "oy", "f", "f1", "f0", "f2", "f3", "f4", "f_sorted"]}], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Solve the following LP problem <strong>by hand</strong> using the <strong>Simplex Method</strong>.</p>\n<p><strong>Problem: <br/></strong></p>\n<p style=\"padding-left: 40px;\"><strong>Maximize</strong>:&nbsp; $\\simplify{{ox} x + {oy} y}$</p>\n<p style=\"padding-left: 40px;\"><strong>subject to</strong>:</p>\n<p style=\"padding-left: 80px;\">$\\simplify{-{c11} x - {c12} y &lt;= -{c1}}$</p>\n<p style=\"padding-left: 80px;\">$\\simplify{-{c21} x - {c22} y &lt;= -{c2}}$</p>\n<p style=\"padding-left: 80px;\">$\\simplify{{c31} x + {c32} y &lt;= {c3}}$</p>\n<p style=\"padding-left: 80px;\">$x \\ge 0$, $y \\ge 0$</p>\n<p><strong></strong></p>\n<p><strong>Submitting your results:</strong></p>\n<ol>\n<li>Click on \"<strong>End Exam\"</strong> and \"<strong>Print this results summary\" </strong>(your problem will be extracted as a pdf file with all the necessary information/data). <strong>Do not worry</strong> about the \"<strong>Total 0/0 (0%)</strong>\" score, this pdf is only for generating your LP problem $\\var{y22[i]}\\var{x22[i]}\\var{f_sorted[2]}$).</li>\n<li>Solve the problem \"onpaper\" by hand using the <strong>Simplex Method </strong>(do<strong> not </strong>use any&nbsp;<strong>Computational Packages)</strong>.</li>\n<li>Submit the above pdf, your solution steps and optimal solution - optimal point $(x_{sol},y_{sol})$ and objevtive function value $f_{sol}.$</li>\n</ol>", "sortAnswers": false}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "contributors": [{"name": "Christian Lawson-Perfect", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7/"}, {"name": "Lauren Richards", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1589/"}, {"name": "Musa Mammadov", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4417/"}]}]}], "contributors": [{"name": "Christian Lawson-Perfect", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7/"}, {"name": "Lauren Richards", "profile_url": 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