The number of souvenir coeffe mugs (in hundreds) that Ace Novelty can produce monthly is given by the production function:
P (x,y) = 0.2x^2 + 2x + 3xy + 0.4y^2 + 3y
where x denotes the amount of labor utilized (measured in thousands of work-hours per month) and y denotes the expenditure on capital investment (in thousands of dollars per month). Find the marginal productivities if 10,000 work-hours per month are utilized and a capital investment of $5000/month is made. Interpret your results.