Name: ID: A 6. Find the second order partial derivative of the following function. Show that the mixed partial devstive fa and f\" are equal. may) =3x2-4o+2y2*x-2y 3 I 7. The productivity of a South American country is given by the irtation x, y) = Marx)!E when x units of labor and y units of capital are used. What is the marginal productivity of labor and what is the marginal productivity of capital when the amounts expended on labor and capital are 288 units and 18 units, respectively? Should the government encourage capital investment rather then increased expenditure on labor at this time in order to increase the country's productivity? Please answer yes or no. a. The marginal productivity of labor is 3.75. The marginal productivity of capital is 20. The government should not have encouraged increased spending on capital rather than on labor. b. The marginal productivity of labor is 3.75. The marginal productivity ofcepitel is 20. The government should have encouraged hicreesed spending on capital rather than on labor. c. The marginal productivity of labor is 5. The marginal productivity of capital is 30. The government should have encouraged increased spending on capital rather than on labor. d. The marginal productivity of labor is 5. The marginal productivity of capital is 80. The government should have encouraged increased spending on labor rather than on capital. 8. The marginal cost for a complaint is given by C '(q) = 2-0.01q + 0.00qu where g is the number of units produced. What is the total cost to raise production from 100 to 200 units