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Mathematics, 17.04.2021 14:00 kolbehoneyman

A firm produces two goods in pure competition and has the following total revenue and total cost functions: TR =P1Q1 +P2Q2 and

TC =2Q12 +Q1Q2 +2Q22

Where, P1 = 12 and P2 = 18.

Form the profit function and identity the critical valueQ1*.

Identity the critical value Q2*.

Construct the Hessian matrix and calculate the value of|H1|.

Calculate the value of |H2|.

Based on the values of Hessian, what can you say about the profit?

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