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A firm has two factories. One factory has the total cost function c(q 1 ) = 3 1 2 + 50, while the other has

A firm has two factories. One factory has the total cost function c(q1) = 312+ 50, while the other has the total cost function c(q2) = 4q22+ 30 where q1 and q2 are the outputs of the two factories. If the firm wishes to produce a total of 130 units as cheaply as possible, what would be the minimized total cost?

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