Suppose a Cobb-Douglas Production function is given by the function: P(L,K)=12L0.6K0.4Furthemore, the cost function for a facility is given by the function: C(L,K)=300L100KSuppose the monthly production goal of this facility is to produce 5,000 items. In this problem, we will assume L represents units of labor invested and K represents units of capital imested, and that you can thvest in tenths of units for each of there. What allocation of labor and capital will minimize total production Costs?Units of Labor L=(Show your answer is exactly 1 decimal place)Units of Capital K=(Show your answer is exactly 1 decimat place)Also, what is the minimal cost to produce 5,000 units? (Use your rounded values for L and K from above to answer this question.)The minimal cost to produce 5,000 units is $ Hint:Your constraint equation involves the Cobb Douglas Production function, not the Cost function.When finding a relationship between L and K in your system of equations, remember that you will want to eliminate to get a relationship between L and K.Round your values for L and K to one decimal place (tenths).