Please answer both questions

Suppose r = $6, c = $100. suppose a program is set up as follows, if you pay an initial $8 fee, you get 2 free units of capital and you get " buy-two-get-one-free" promotion on capital. if you spend your entire budget in purchasing capital , what is the maximum amount of capital that you can own if you join the program. A firm produces according to the following production function: F( L.K) - 2LAK, The price of capital is $16 and the wage rate is $1. What is the optimal combination of labor and capital to produce 8 units of output in the long-run ? a. L-16. K-8 b. L 64, K =4 c. L = 8, K-64 d. L = 16, K-4