Suppose a Cobb-Douglas Production function is given by the function: P(L,K)=15L0.2K0.8Furthemore, the cost function for a facility is given by the function: C(L,K)=400L+300KSuppose the monthly production goal of this facility is to produce 16,000 items. In this problem, we will assume L represents units of labor invested and K represents units of capital invested, and that you can invest in tenths of units for each of these. What allocation of labor and capital will minimize total production Costs?Units of Labor L=(Show youranswer is exactly 1 decimal place)Units of Capital K=(Show youranswer is exactly 1 decimal place)Also, what is the minimal cost to produce 16,000 units? (Use your rounded values for L and K from above to answer this question.)The minimal cost to produce 16,000 units is $