A firm's production function is given by the 4L0.5K0.5. Which of the following equation Q = is false? The marginal product of labor is the partial derivative aQ/aL. The marginal product of capital is the partial derivative aQ/ƏK. ƏQ/ƏL = 2L-0.5KO.5 = dQ/ƏK = 4L0.5K-0.5 – %D

You are a manager at Glass Incorporated—a mirror and window supplier. Recently, you conducted a study of the production process for your single-side encapsulated window. The results from the study are summarized in the following table and are based on the 8 units of capital currently available at your plant. Each unit of labor costs RM 60, each unit of capital is RM 20, and your encapsulated windows sell for RM 12 each. Labor L Capital K Output Q Marginal Product of Labor MPL Average Product of Labor APL Average Product of Capital APK Value Marginal Product of Labor VMPL     0 8 0           1 8 10           2 8 30           3 8 60           4 8 80           5 8 90           6 8 95           7 8 95           8 8 90           9 8 80           10 8 60           11 8 30…

Q3, A firm operates with the following Cobb-Douglas production function where Q is output, L is labor hours per week, and K is machine hours per week. Cobb-Douglas Production Function: Q = 5(L1/3K2/3)                  The firm intends to produce 5,000 units of output per week by contracting employees for $40 per hour and renting machinery for $10 per hour. Determine the cost minimizing combination of labor and capital for the firm. Based on your solution in part (a), calculate the firm’s total cost of producing 5,000 units of output per week.

Could I have help or explanation on how to find the LTC min and L* and k*