// Numbas version: finer_feedback_settings
{"name": "Finding the break even point from a graph", "extensions": ["geogebra"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Finding the break even point from a graph", "tags": [], "metadata": {"description": "<p>Students are shown a graph that simultaneously plots cost and revenue lines. They are asked to identify the break-even point.</p>\n<p>They are asked to give the x- and y- coordinate values.</p>\n<p>The graph is randomised, but it is set up so that the point of intersection lies on gridlines.</p>", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "statement": "<p>The graph shows (in red) the cost of producing {items} and (in black) the revenue from selling them.</p>\n<p>The number of units is shown on the $x$-axis and the production cost in dollars is shown on the $y$-axis.</p>\n<p></p>\n<p>{geogebra_applet(\"https://www.geogebra.org/m/srpxwjnu\",defs)}</p>", "advice": "<p></p>\n<p>The break even point occurs where the two lines meet.</p>\n<p>This is at {x} on the horizontal axis, and {y} on the vertical axis.</p>\n<p>So {x} units need to be sold in order to break even, leading to a revenue of \\${y}, costs of \\${y} and a profit of \\$0.</p>", "rulesets": {}, "extensions": ["geogebra"], "variables": {"shoptypes": {"name": "shoptypes", "group": "Ungrouped variables", "definition": "['bakery','bakery','bakery','craft shop','craft shop','craft shop']", "description": "", "templateType": "anything"}, "itemidx": {"name": "itemidx", "group": "Ungrouped variables", "definition": "random(0..5)", "description": "", "templateType": "anything"}, "itemtypes": {"name": "itemtypes", "group": "Ungrouped variables", "definition": "['tubs of ice cream','mobile phones','chairs','bouquets of flowers','heaters','boxes of apples']", "description": "", "templateType": "anything"}, "msellprices": {"name": "msellprices", "group": "Ungrouped variables", "definition": "[random(6,10),random(200,300,400),random(50,100,150),random(20,40,80,100),random(200,400,600),random(10,20,40)]", "description": "", "templateType": "anything"}, "mcost": {"name": "mcost", "group": "Ungrouped variables", "definition": "msell/2", "description": "", "templateType": "anything"}, "bcost": {"name": "bcost", "group": "Ungrouped variables", "definition": "bcostprices[itemidx]", "description": "", "templateType": "anything"}, "defs": {"name": "defs", "group": "Ungrouped variables", "definition": "[\n  ['b1',0],['m1',msell],['b2',bcost],['m2',mcost],\n  ['xmin',-1],['xmax',2*x],['ymin',-1],['ymax',2*y]\n  ]", "description": "", "templateType": "anything"}, "shop": {"name": "shop", "group": "Ungrouped variables", "definition": "shoptypes[itemidx]", "description": "", "templateType": "anything"}, "item": {"name": "item", "group": "Ungrouped variables", "definition": "itemtypes[itemidx]", "description": "", "templateType": "anything"}, "x": {"name": "x", "group": "Ungrouped variables", "definition": "bcost/(msell-mcost)", "description": "<p>break-even point x-value</p>", "templateType": "anything"}, "y": {"name": "y", "group": "Ungrouped variables", "definition": "msell * x", "description": "<p>break even point y-value</p>", "templateType": "anything"}, "msell": {"name": "msell", "group": "Ungrouped variables", "definition": "msellprices[itemidx]", "description": "", "templateType": "anything"}, "bcostprices": {"name": "bcostprices", "group": "Ungrouped variables", "definition": "[15,600,150,200,600,20]", "description": "", "templateType": "anything"}, "unitschoices": {"name": "unitschoices", "group": "Ungrouped variables", "definition": "[]", "description": "", "templateType": "anything"}, "questionlist": {"name": "questionlist", "group": "Ungrouped variables", "definition": "['revenue is received','cost is incurred','profit is earned']", "description": "", "templateType": "anything"}, "questionidx": {"name": "questionidx", "group": "Ungrouped variables", "definition": "random(0,1,2)", "description": "", "templateType": "anything"}, "question": {"name": "question", "group": "Ungrouped variables", "definition": "questionlist[questionidx]", "description": "", "templateType": "anything"}, "answerlist": {"name": "answerlist", "group": "Ungrouped variables", "definition": "[y,y,0]", "description": "", "templateType": "anything"}, "answer": {"name": "answer", "group": "Ungrouped variables", "definition": "answerlist[questionidx]", "description": "", "templateType": "anything"}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["shoptypes", "itemidx", "itemtypes", "msellprices", "mcost", "bcost", "defs", "shop", "item", "x", "y", "msell", "bcostprices", "unitschoices", "questionlist", "questionidx", "question", "answerlist", "answer"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>How many units need to be sold in order to break even?</p>", "minValue": "x", "maxValue": "x", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>How much&nbsp;{question} in dollars at the break-even point?</p>", "minValue": "answer", "maxValue": "answer", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "type": "question", "contributors": [{"name": "Merryn Horrocks", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4052/"}]}]}], "contributors": [{"name": "Merryn Horrocks", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4052/"}]}