// Numbas version: exam_results_page_options
{"name": "Interpreting tables_to_delete", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Interpreting tables_to_delete", "tags": [], "metadata": {"description": "<p>This question tests the ability to read and interpret numerical data summarised in a table and make predictions based on algebraic skills.</p>", "licence": "None specified"}, "statement": "<p>The following table shows monthly financial data for a small business.</p>\n<table>\n<tbody>\n<tr>\n<td></td>\n<td>budget forecast (&pound;)</td>\n<td>actual (&pound;)</td>\n<td>actual - forecast (&pound;)</td>\n</tr>\n<tr>\n<td>Revenue</td>\n<td>{revenue_forecast}</td>\n<td>{revenue}</td>\n<td>$\\simplify{{revenue}-{revenue_forecast}}$</td>\n</tr>\n<tr>\n<td>Materials</td>\n<td>{materials_forecast}</td>\n<td>{materials}</td>\n<td>$\\simplify{{materials}-{materials_forecast}}$</td>\n</tr>\n<tr>\n<td>Overheads</td>\n<td>{overheads_forecast}</td>\n<td>{overheads}</td>\n<td>$\\simplify{{overheads}-{overheads_forecast}}$</td>\n</tr>\n<tr>\n<td>Net profit</td>\n<td>{net_profit_forecast}</td>\n<td>?</td>\n<td>$\\simplify{{net_profit}-{net_profit_forecast}}$</td>\n</tr>\n</tbody>\n</table>", "advice": "<p>Click \"Show Steps\" above to see how to answer this question.</p>", "rulesets": {}, "extensions": [], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"materials_forecast": {"name": "materials_forecast", "group": "Ungrouped variables", "definition": "random(30..39)*10", "description": "", "templateType": "anything", "can_override": false}, "overheads_forecast": {"name": "overheads_forecast", "group": "Ungrouped variables", "definition": "random(20..39)*10", "description": "", "templateType": "anything", "can_override": false}, "net_profit": {"name": "net_profit", "group": "Ungrouped variables", "definition": "revenue-materials-overheads", "description": "", "templateType": "anything", "can_override": false}, "net_profit_forecast": {"name": "net_profit_forecast", "group": "Ungrouped variables", "definition": "revenue_forecast-materials_forecast-overheads_forecast", "description": "", "templateType": "anything", "can_override": false}, "materials": {"name": "materials", "group": "Ungrouped variables", "definition": "materials_forecast+random(1..4)*10", "description": "", "templateType": "anything", "can_override": false}, "revenue": {"name": "revenue", "group": "Ungrouped variables", "definition": "revenue_forecast-random(1..10)*10", "description": "", "templateType": "anything", "can_override": false}, "revenue_forecast": {"name": "revenue_forecast", "group": "Ungrouped variables", "definition": "1000+random(1..5)*50", "description": "", "templateType": "anything", "can_override": false}, "overheads": {"name": "overheads", "group": "Ungrouped variables", "definition": "overheads_forecast", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["revenue_forecast", "materials_forecast", "overheads_forecast", "net_profit_forecast", "revenue", "materials", "overheads", "net_profit"], "variable_groups": [], "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>Calculate the actual net profit.</p>\n<p>Answer: &pound;[[0]]</p>", "stepsPenalty": 0, "steps": [{"type": "information", "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>We can see from the table that the actual net profit&nbsp;<strong>subtract</strong> the forcast is {{net_profit}-{net_profit_forecast}}.</p>\n<p>Therefore \"actual net profit\" - {net_profit_forecast} = {{net_profit}-{net_profit_forecast}}</p>\n<p>So the number we want is {{net_profit}-{net_profit_forecast}}+{net_profit_forecast} = {{{net_profit}-{net_profit_forecast}}+{net_profit_forecast}}</p>"}], "gaps": [{"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, "minValue": "net_profit", "maxValue": "net_profit", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}, {"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>What&nbsp;would the actual material costs need to be so that the actual net profit is the same as the forecast?</p>\n<p>Answer: &pound;[[0]]</p>", "stepsPenalty": "1", "steps": [{"type": "information", "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>From the table, we can see that&nbsp;</p>\n<table border=\"1\">\n<tbody>\n<tr>\n<td>Net profit = Revenue - Materials - Overheads.</td>\n</tr>\n</tbody>\n</table>\n<p>Since the overheads are the same for the forecast and in reality, for the the actual net profit to be equal to that of the forecast, we need</p>\n<table border=\"1\">\n<tbody>\n<tr>\n<td>Forecast Revenue - Forecast Materials = Actual Revenue - Actual Materials</td>\n</tr>\n</tbody>\n</table>\n<p>If the actual materials are considered to be an unknown ($x$), then we can fill in all the other values from the table and rearrange the equation to find $x$.&nbsp;</p>"}], "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": "3", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "revenue-revenue_forecast+materials_forecast", "maxValue": "revenue-revenue_forecast+materials_forecast", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "contributors": [{"name": "Mash Sheffield", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/496/"}, {"name": "Marta Emmett", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/11961/"}]}]}], "contributors": [{"name": "Mash Sheffield", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/496/"}, {"name": "Marta Emmett", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/11961/"}]}