Suppose a firm (wishing to engage in third degree price discrimination) sells mineral water to two groups of consumers, A and B, with respective demands indicated below:Group A's Demand: QA: 1200 - 2PA (where QA is A's quantity demanded and PA is the price offered to A)Group B's Demand: QB = 400 - 2PB (where QB is B's quantity demanded and PB is the price offered to B)Further, suppose the firm faces a total cost given by TC = 80Q (where Q is the total quantity produced). Wishing to maximize profit, this firm should sell ____ units to group A and ____ units to group B.

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