Please help me answer this question in full

Catalina Films produces videos using digital editing equipment (K) and editors (L). The rm has the production function Q = 2K0'5 + L0'5 where Q is the hours of edited footage. The wage is $5, and the rental rate of capital is $10. a. (3pt) Does the production function of Catalina Firms exhibit increasing returns to scale, decreasing returns to scale, or constant returns to scale? Explain your reasoning. b. (4pt) Find the short-run total cost curve of Catalina rms when K is fixed at 16 units. c. (12pt) Find the optimal amount of inputs (K and L) the firm uses in the |o_ngrun. Hint: K is no longer fixed. You might want to use the Lagrangian method to answer this question. Your answers to this question will be in terms of 0 since you are finding the optimal amount of inputs for any quantity that firm might choose to produce. d. (4pt) Find the |o_ng-run total cost curve of Catalina Firms. Hint: Even if you can't find the answer for part c, you can get points for explaining how you would answer this part. e. (4pt) Does Catalina Firms exhibit economies of scale, diseconomies of scale, or constant economies of scale? Why? Hint: Even if you can't find the answer for part d, you can get points for explaining how you would answer this part