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A firm has a demand curve for its product, qd=255p, where qd is quantity demanded of the firm's output (hundred units per day). The unit price is p (in dollars). The firm has two plants with the following cost functions: C1(q1)=104q12+10C1(q1)=103q22+6 a. Find the critical values of the firm's profit (q12,q22,p,) b. Use the Hessian method to classify each point as a local maximum, local minimum or indeterminate (saddle point). A firm has a demand curve for its product, qd=255p, where qd is quantity demanded of the firm's output (hundred units per day). The unit price is p (in dollars). The firm has two plants with the following cost functions: C1(q1)=104q12+10C1(q1)=103q22+6 a. Find the critical values of the firm's profit (q12,q22,p,) b. Use the Hessian method to classify each point as a local maximum, local minimum or indeterminate (saddle point)