Ans. Short run total cost function, STC = 10.5 + 3Q + 0.5Q^2
=> Marginal Cost, MC = dSTC/dQ = 3 + Q
At profit maximizing level,
Price = MC
=> 16 = 3+Q
=> Q = 13 units
So, Mark must wash13 gutters per day to maximise his profit
At this level, profit is,
Profit = Total Revenue- Short run total cost = Price *Quantity - STC = 16*13 - (10.5 + 3*13 + 0.5*13^2)
=> Profit = $74
Thus, Mark earns a maximum profit of $74 per day
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