The Cobb-Douglas production function for a particular product is N(x,y) = 60x y , 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 (A) and (B) below. (A) If $600,000 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.) The increase in production is |units. (Round to the nearest unit as needed.)K Find - - if z = ( 2x + gy) .The function S(T,r) =70(T -60)(5 - r) gives an ice cream shop's daily sales as a function of temperature T (in .F) and rain r (in inches). Find S(95,4) (include the appropriate units) and explain what it means. S(95,4) = (Simplify your answer.) Explain the meaning of the correct answer from the previous step. Select the correct choice below and fill in the answer box within your choice. O A. Daily sales decrease at a rate of $ per 1 F in temperature when the temperature is 95 F and rainfall is 4". O B. Daily sales decrease at a rate of $ per inch of rain when the temperature is 95 F and rainfall is 4". O C. Daily sales increase at a rate of $ per inch of rain when the temperature is 95 F and rainfall is 4". O D. Daily sales increase at a rate of $ per 1 F in temperature when the temperature is 95 F and rainfall is 4". O E. Daily sales are estimated to be $ when the temperature is 95 F and rainfall is 4"14 Find the indicated value of the function g(x,y) = - x2 + 8y 9(8, - 8) Evaluate g(8, - 8). Select the correct choice below and fill in any answer boxes within your choice. O A. g(8, - 8) = O B. The function g(8, - 8) is undefined.Find all points (x,y) where f(x,y) has a possible relative maximum or minimum. K f ( x,y) =2x# - 16xy + 4y2-5 What are all the possible points? (Type an ordered pair. Use a comma to separate answers as needed.)