Consider a company that outputs 1,000 doohickies. The company's long-run production function is: q= K L where q is the number of doohickies produced, K is the quantity of capital rented, and I is the quantity of labor hired. MP₂ (1) 1 MP, = (* The cost function is C=4K+L where C is the total cost a. What ratio of capital to labor minimizes total costs? b. How much capital and labor are needed to produce 1,000 doohickies? How much will these inputs cost them?