5. [-/3 Points] DETAILS QIANBUSCALC2 6.1.040.R. This is similar to Section 6.1 Problem 40: For f(x, y) = 2(2x2+13) 4 : (a) Determine fxx(x,y) . Answer: (b) Determine fxy(x,y) . Answer: (c) Determine fyy(x,y) . Answer:6. [-l12 Points] DETAILS QIANBUSCALCZ 6.1.052. MY NOTES ASK YOUR TEACHER This is Section 6.1 Problem 52: Suppose that an amount of 10,000 dollars is invested at an annual interest rate of r% compounded continuously for t years. Then the balance at the end of t years is given by f(t,r)=1o,000e-m. (a) M5, 3): . (Round to an integer.) This number means that, when $10,000 is invested for years at an annual interest rate of C] % /o compounded monthly, if the time increases by 1 year and the annual interest rate remains constant at , then the balance in the fund by approximately $ (b) fr(5, 3)= . (Round to an integer.) This number means that, when $10,000 is invested for years at an annual interest rate of :J % compounded monthly, if the annual interest rate increases by 1 percent and the time remains constant at years, then the balance in the fund ---Select-- v by approximately $ :] . 7. [-I13 Points] DETAILS QIANBUSCALCZ 6.1.056. MY NOTES ASK YOUR TEACHER This is Section 6.1 Problem 56: A company sells two sizes of microwave ovens: The small size and the large size. The demand functions for the microwave ovens are given by p5 =1500.5x0.2y and p, =250 0.1x0.5 y , where pS and p, are the prices of the two sizes in dollars, x is the units of the small microwave ovens sold each week, and y is the units of the large microwave ovens sold each week. (a) Determine the total revenue function R(x, y) . Answer: (b) RX(50, 30): . This number means that, when small microwave ovens and large microwave ovens are sold per week, if the sales of the small microwave ovens increase by 1 unit per week, and the sales of the large microwave ovens remain constant at units per week, then the total revenue by approximately 51: :] per week. (c) Ry(50, 30)= . This number means that, when small microwave ovens and large microwave ovens are sold per week, if the sales of the large microwave ovens increase by 1 unit per week, and the sales of the small microwave ovens remain constant at units per week, then the total revenue by approximately $ 1:] per week. This is Section 6.1 Problem 62: A company that produces skis has the Cobb-Douglas production function Q=f(x,y)=180x-7y-3 , where Q is the number of pairs of skis produced per month, X is the number of thousands of labor hours per month and y is the value of the equipment in units of thousands of dollars. The company currently has a labor force of 3,000 labor hours per month and $50,000 of capital. (a) The current production level is skis produced per month. (Round to an integer.) (b) The current marginal productivity of labor is (Round to an integen). This number means that, when the company has a labor force of hours and per month and has $ worth of equipment, if the labor hours increase by 1,000 hours per month, and the value of equipment remains $ then the production -Selec -- v by approximately pairs of skis produced per month. I (c) The current marginal productivity of capital is (Round to an integen). This number means that, when the company has a labor force of hours and per month and has $ worth of equipment, if the labor hours remains at hours per month and the value of the equipment increases by one thousand dollars, then the production --Select- v by approximately pairs of skis produced per month