Problem 1 (6 points) Suppose there are two inputs in the production function, labor and capital, and these two inputs are perfect substitutes. The existing technology permits 5 machines to do the work of 2 workers. So the production function is f (E , K) = 2K +5E. The rm wants to produce q units of output, where q > 0 is some number. Suppose the price of capital is $10 per machine per hour. What combination of inputs will the rm use if the wage rate is $15 or $25 or $35 per hour