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Hack's Berries faces a short-run total cost of production given by TC 2 Q3 12692 + 10062 + 1000, where Q is the number of cratu of berries produced per day. (a) If berries sell for $60 per crate in a perfectly competitive market, 0 Write down the prot maximization problem of the rm. 0 Your instructor used a computer software to nd the solution to the rst-order condition of the above problem, and the solution is given by A Q = 2.367006833144548. Is this a (1) local minimum, (2) local maximum, (3) global minimum, (4) global maximum of the prot function over R+ (the set of nonnegative real numbers)? Briey explain your answer. a What is the lowest possible average variable cost at which the rm can produce berries? o How many berries should Hack produce? (b) If the price of berries is $79 per crate, how many berries should Hack produce? Briey explain your answer and compare it to part (a)