3. Suppose your bakery makes cookies and has a production function given by the following equation. You know that labor can be hired for $6 and capital can be hired for $9: Q = 20K.5 L.5 a. Assume you produce 49 cookies at the lowest cost. What is your marginal rate of technical substitution at this level of output? b. What is the lowest-cost combination of labor and capital that will allow you to produce 49 cookies? c. What is the minimum cost of producing 49 cookies? d. Suppose you want to produce 50 cookies. How much more must you spend to get the 50th cookie? e. Suppose you have exactly $300 to spend. What is the maximum number of cookies you can produce, given wages and rental rates above?