The E-VGA produces thermal solution for computer. The company can rent its equipment and hire workers at competitive rates. Equipment needed for this operation can be rented at $100 per hour, and labour can be hired at $25 per worker hour. The company has allocated $5,000 for the initial run of production. The production function using available technology can be expressed as: Q = 10K 0.2 L 0.8 , where Q represents thermal solution, K denotes capital input (units per hour), and L denotes labour input (units of worker time per hour). The marginal products of labour and capital are as follows: MPL = 8K 0.2 L −0.2 MPK = 2K −0.8 L 0.8 (a) (2 Points) Does this production function exhibit constant, increasing or decreasing returns to scale? Show it mathematically. (b) (2 Points) Construct the isocost equation. (c) (6 Points) Determine the optimal input mix to get the greatest output for an outlay of $5000 for a production run of thermal solution. Also, compute the level of output.