Activity (Q) should be carried out until Marginal cost (MC) = Marginal benefit (MB) and MB > MC.
MC = Change in total cost (TC) / Change in Q
MB = Change in total benefit (TB) / Change in Q
When Q = 2, TC = $6 and TB = $22.
When Q = 3, TC = $12 and TB = $30.
When Q = 4, TC = $20 and TB = $36.
Therefore,
When Q = 3,
MC = $(12 - 6) / (3 - 2) = $6
MB = $(30 - 22) / (3 - 2) = $8
Therefore MB > MC.
When Q = 4,
MC = $(20 - 12) / (4 - 3) = $8
MB = $(36 - 30) / (4 - 3) = $6
Therefore MB < MC.
Therefore, Q = 3 is optimal activity level.
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