A firm has the total production cost function

1) A firm has the total production cost function.C(q)=16+q^2Determine the regions ofq for which the technology exhibits increasing, decreasing, and constant returns to scale.Suppose that the market price isP=8 and thefirm decides to produce a positive amount of output. Determine thefirm’s output and profits. Compare your answer with the finding in (a). [Hint: does the level of output minimize a cost curve?]A firm chooses between two production technologies for a new product line. Technology 1 has total costs of production:C(Q)= 100+10q+q^2.Technology 2 has total costs of production:C2(Q)=25+10q+4q^2.(a) What technology is more efficient (less costly) if the expected output is very low, say, 1 unit? Explain intuition behind your answer without explicit calculations of costs.(b) What technology is more efficient (less costly) if the expected output is very high, say, 1000 units? Explain intuition behind your answer without explicit calculations of costs.(c) Suppose that the firm can choose the technology for each level of output. What is the firms’ average cost functionin this case