5. [49.09 Points] DETAILS HARMATHAP1214.2.011. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER 1r Q(s, t) = 25 ' 5' find ERand 3%}. 52 + t2 ' 65 eCI :i Need Help? 6. [49.09 Points] DETAILS HARMATHAP1214.2.013. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER IF: = 69" + y ln(x), find zX and 2,. e=:i e=:i Need Help? 7. [-l9.09 Points] DETAILS HARMATHAP1214.2.017.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the partial derivative of f(x, y) = 6x3 3xy + y2 with respect to x at the point (1, 2, 4). [1 Need Help? 8. [49.09 Points] DETAILS HARMATHAP1214.2.023. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER If u = f(w, x, y, z) = y2 x2: + 6x, find the fullowing. (a) 3: = (b) 3: =I (c) 3: = Need Help? @ 9. [-l9,09Points] HARMATHAP1214.2.048. Suppose that the total cost (in dollars) of producing a product is C(x, y) = 40 + 5x2 + 7y2, where x is the cost per pound for materia and y is the cost per hour for labor. (a) If material costs are held constant, at what rate will the total cost increase for each $1-per-hour increase in labor? (b) If the labor costs are held constant, at what rate will the total cost increase for each increase of $1 in material cost? Need Help? 4. [-/12.5 Points] DETAILS HARMATHAP12 14.3.011. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Suppose that the joint cost function for two products is C(x, y) = 1100 In(xy + 6) + 15,000 dollars. (a) Find the marginal cost with respect to x. (b) Find the marginal cost with respect to y. Need Help? Read It Watch It 5. [-/12.5 Points] DETAILS HARMATHAP12 14.3.013.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Suppose that the production function for a product is z = v 4xy, where x represents the number or work-hours per month and y is the number of available machines (a) Determine the marginal productivity of x. (b) Determine the marginal productivity of y. Need Help? Read It Master It 6. [-/12.5 Points] DETAILS HARMATHAP12 14.3.017. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Suppose that the number of crates of an agricultural product is given by z = 11xy - 0.0002x2- 5y 0.03x + 3y where x is the number of hours of labor and y is the number of acres of the crop. Find the output when x = 500 and y = 300. (Round your answer to the nearest whole number.) crates Need Help? Read It Watch It 7. [-/12.5 Points] DETAILS HARMATHAP12 14.3.023. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Prices p1 and p2 are in dollars and q1 and 92 are numbers of units. The demand functions for two products are given by the following. 91 = 300 - 3p1 - 3P2 72 = 400 - 4p1 - 4P2 Find the demand for each of the products if the price of the first is p1 = $7 and the price of the second is P2 = $5. 91 = 92 = Need Help? Read It Watch It