Please, help me with this question.

Can you please show the details of any derivation you may realize?

Despondent over the Red Sox's terrible season. Prof. Gruber decides to quit his dayjob and start a bicycle manufacturing rm in Kendall Square. As he starts looking into the bicycle manufacturing industry. he realizes it has some interesting features. First, he realizes that it operates as a competitive industry. Second, he finds that there are two technologies used by firms in the industry. Technology1 uses solar power, and has a cost function 01 (q) = q + 4g? + 32 for q > 0. Technology 2 uses electricity from the grid and is more efficient, with a cost function 02 (q) = q+ 2g2 -l- 32 for q > 0. Assume thatwe are in the long run. so firms using both technologies can shut and leave the market at 0 cost, so that C (D) = D for both technologies. Compute the marginal cost for technology '|. iiriff-71hr)