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“Find the critical values at which each firm’s total cost C is minimized, given the production...

“Find the critical values at which each firm’s total cost C is minimized, given the production quotas that must be fulfilled:

(b) C = 12x2 − 4xy + 7y2 + 945, subject to x + y = 69
(c) C = 9x2 − 6xy + 13y2 + 775, subject to x + 4y = 362”

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