The​ Cobb-Douglas production function for a particular product is, N(x,y)=80x^0.6y^0.4​, where x is the number of units of labor and y is the number of units of capital required to produce​ N(x, y) units of the product. Each unit of labor costs $40 and each unit of capital costs ​$60.
Answer the questions below.
​(A) If ​$300,000 is budgeted for production of the​ product, determine how that amount should be allocated to maximize production, and find the maximum production. Production will be maximized when using units of labor and units of capital. The maximum production is___units. (Round to the nearest integer as​ needed.)
​(B) Find the marginal productivity of money in this​ case, and estimate the increase in production if an additional ​$50,000 is budgeted for the production of the product. The marginal productivity of money is___​(Round to four decimal places as​ needed.)
Part 4
The increase in production is__units.​(Round to the nearest unit as​ needed.)