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“Find the critical values at which each firm’s profit π is maximized, given the production limitations...

“Find the critical values at which each firm’s profit π is maximized, given the production limitations in parentheses that cannot be exceeded:
(a) π = 145x − 5x2 − 2xy − 8y2 + 201y − 325 (x + y = 37)”

ans (a) (21, 16)

“(b) π = 440x − 7x2 − 3xy − 4y2 + 445y − 295 (x + y = 49)”

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