// Numbas version: exam_results_page_options {"name": "Question 13", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Question 13", "tags": [], "metadata": {"description": "", "licence": "All rights reserved"}, "statement": "

The table shows information on initial investment and income per year for two projects. The discounting rate is 8%.

\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
\n

Year

\n
\n

Project A (£)

\n
\n

Project B (£)

\n
\n

0

\n
\n

-{ca}

\n
\n

-{cb}

\n
\n

1

\n
\n

{a1}

\n
\n

{b1}

\n
\n

2

\n
\n

{a2}

\n
\n

{b2}

\n
\n

3

\n
\n

{a3}

\n
\n

{b3}

\n
\n

4

\n
\n

{a4}

\n
\n

{b4}

\n
\n

5

\n
\n

{a5}

\n
\n

{b5}

\n
", "advice": "", "rulesets": {}, "extensions": [], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"ca": {"name": "ca", "group": "Ungrouped variables", "definition": "random(25000..32000)", "description": "", "templateType": "anything", "can_override": false}, "cb": {"name": "cb", "group": "Ungrouped variables", "definition": "random(26000..35000)", "description": "", "templateType": "anything", "can_override": false}, "b1": {"name": "b1", "group": "Ungrouped variables", "definition": "random(11000..14000)", "description": "", "templateType": "anything", "can_override": false}, "a1": {"name": "a1", "group": "Ungrouped variables", "definition": "random(10000..12000)", "description": "", "templateType": "anything", "can_override": false}, "a2": {"name": "a2", "group": "Ungrouped variables", "definition": "random(10000..12000)", "description": "", "templateType": "anything", "can_override": false}, "a3": {"name": "a3", "group": "Ungrouped variables", "definition": "random(10000..12000)", "description": "", "templateType": "anything", "can_override": false}, "a4": {"name": "a4", "group": "Ungrouped variables", "definition": "random(11000..15000)", "description": "", "templateType": "anything", "can_override": false}, "a5": {"name": "a5", "group": "Ungrouped variables", "definition": "random(11000..15000)", "description": "", "templateType": "anything", "can_override": false}, "b2": {"name": "b2", "group": "Ungrouped variables", "definition": "random(11000..14000)", "description": "", "templateType": "anything", "can_override": false}, "b3": {"name": "b3", "group": "Ungrouped variables", "definition": "random(11000..14000)", "description": "", "templateType": "anything", "can_override": false}, "b4": {"name": "b4", "group": "Ungrouped variables", "definition": "random(12000..14000)", "description": "", "templateType": "anything", "can_override": false}, "b5": {"name": "b5", "group": "Ungrouped variables", "definition": "random(11000..15000)", "description": "", "templateType": "anything", "can_override": false}, "pva1": {"name": "pva1", "group": "Ungrouped variables", "definition": "a1/(1.08)^1", "description": "", "templateType": "anything", "can_override": false}, "pva2": {"name": "pva2", "group": "Ungrouped variables", "definition": "a2/1.08^2", "description": "", "templateType": "anything", "can_override": false}, "pva3": {"name": "pva3", "group": "Ungrouped variables", "definition": "a3/1.08^3", "description": "", "templateType": "anything", "can_override": false}, "pva4": {"name": "pva4", "group": "Ungrouped variables", "definition": "a4/1.08^4", "description": "", "templateType": "anything", "can_override": false}, "pva5": {"name": "pva5", "group": "Ungrouped variables", "definition": "a5/1.08^5", "description": "", "templateType": "anything", "can_override": false}, "npva": {"name": "npva", "group": "Ungrouped variables", "definition": "pva1+pva2+pva3+pva4+pva5-ca", "description": "", "templateType": "anything", "can_override": false}, "pvb1": {"name": "pvb1", "group": "Ungrouped variables", "definition": "b1/1.08^1", "description": "", "templateType": "anything", "can_override": false}, "pvb2": {"name": "pvb2", "group": "Ungrouped variables", "definition": "b2/1.08^2", "description": "", "templateType": "anything", "can_override": false}, "pvb3": {"name": "pvb3", "group": "Ungrouped variables", "definition": "b3/1.08^3", "description": "", "templateType": "anything", "can_override": false}, "pvb4": {"name": "pvb4", "group": "Ungrouped variables", "definition": "b4/1.08^4", "description": "", "templateType": "anything", "can_override": false}, "pvb5": {"name": "pvb5", "group": "Ungrouped variables", "definition": "b5/1.08^5", "description": "", "templateType": "anything", "can_override": false}, "npvb": {"name": "npvb", "group": "Ungrouped variables", "definition": "pvb1+pvb2+pvb3+pvb4+pvb5-cb", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["ca", "cb", "b1", "a1", "a2", "a3", "a4", "a5", "b2", "b3", "b4", "b5", "pva1", "pva2", "pva3", "pva4", "pva5", "npva", "pvb1", "pvb2", "pvb3", "pvb4", "pvb5", "npvb"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": "3", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

Calculate the present value for Project A in year 1

", "minValue": "pva1", "maxValue": "pva1", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "precisionType": "dp", "precision": "2", "precisionPartialCredit": "50", "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "3", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

Calculate the present value for Project A in year 2

", "minValue": "pva2", "maxValue": "pva2", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "precisionType": "dp", "precision": "2", "precisionPartialCredit": "50", "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "4", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

Calculate the net present value for Project A

", "minValue": "npva-1", "maxValue": "npva+1", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "precisionType": "dp", "precision": 0, "precisionPartialCredit": "50", "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "4", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

Calculate the net present value for Project B

", "minValue": "npvb-1", "maxValue": "npvb+1", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "precisionType": "dp", "precision": 0, "precisionPartialCredit": "50", "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "contributors": [{"name": "Yvonne Wancke", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3703/"}]}]}], "contributors": [{"name": "Yvonne Wancke", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3703/"}]}