It costs a company $12 to purchase an hour of labor and $15 to purchase an hour of capital. If L hours of labor and K units of capital are available, then 0.05L^2/3 K^1/3 machines can be produced. Suppose the company has $100,000 to purchase labor and capital.

a. What is the maximum number of machines it can produce?

b. Use SolverTable to see how a change in the price of labor changes the optimal solution.

c. Use SolverTable to see how a change in the price of capital changes the optimal solution.

d. Use SolverTable to see how a change in the amount of money available changes the optimal solution.