In a learning experiment, a subject is first given x minutes to examine a list of facts. The fact sheet is then taken away and the subject is allowed y minutes to prepare mentally for examination based on the fact sheet. Suppose it is found that the score achieved by a particular subject is related to x and y by the formula S(x,y) = x2 + 5xy + 15x – y2 + 3y + 25. i. What will be the subject’s score if he takes the test ‘cold’ (i.e. No study nor Contemplation)? ii. Currently, students in the experiment have 15 minutes to examine the list of facts and 10 minutes to prepare mentally for the examination. Use marginal analysis to estimate the change in the score that will result if the invigilator increases the time for examining the list of facts by one minute but decreases the time for preparing for the examination by one minute *Part ii.*
In a learning experiment, a subject is first given x minutes to examine a list of facts. The fact sheet is then taken away and the subject is allowed y minutes to prepare mentally for examination based on the fact sheet. Suppose it is found that the score achieved by a
particular subject is related to x and y by the formula
S(x,y) = x2 + 5xy + 15x – y2 + 3y + 25.
i. What will be the subject’s score if he takes the test ‘cold’ (i.e. No study nor Contemplation)?
ii. Currently, students in the experiment have 15 minutes to examine the list of facts and 10 minutes to prepare mentally for the examination. Use marginal analysis to estimate the change in the score that will result if the invigilator increases the time for examining the list of facts by one minute but decreases the time for preparing for the examination by one minute
*Part ii.*
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