What is the firms total cost function

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A firm has two production plants where they produce the same product. The cost function at plant #1 is

\(C_{1}(Q_{1})=10Q_{1}+.5Q_{1}\)

The cost function at plant #2 is \(C_{2}(Q_{2})=10Q_{2}+2Q_{2}^{2}\)
A) If the firm wants to produce Q total units of output, what fraction of Q will be produced at plant #1? What fraction at plant #2? Show all work.
B) What is the firms total cost function in terms of Q?

Reference no: EM13183073

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