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Homework answers / question archive / III Homework: Section 7
III Homework: Section 7.4 Enhanced Assignment Question 1, 7.4.1 Part 1 of 3 > HW Score: 52.6%, 8.42 of 16 points O Points: 0 of 1 Save Minimize f(x,y) = x2 + xy + y2 subject to y= - 38 without using the method of Lagrange multipliers; instead, solve the constraint for x or y and substitute into f(x,y). Use the constraint to rewrite f(x,y) = x2 + xy + y2 as a function of one variable, g(x). g(x) = III Homework: Section 7.4 Enhanced Assignment Question 2, 7.4.5 Part 1 of 3 HW Score: 52.6%, 8.42 of 16 points X Points: 0 of 1 Save Maximize f(x,y) = 10x + y subject to x2 + y = 8 without using the method of Lagrange multipliers; instead, solve the constraint for x or y and substitute into f(x,y). Use the constraint to rewrite f(x,y) = 10x + y as a function of one variable, g(x). g(x) = TIL Homework: Section 7.4 Enhanced Assignment < Question 14, 7.4.33-BE Part 1 of 4 > HW Score: 52.6%, 8.42 of 16 points O Points: 0 of 1 Save The Cobb-Douglas production function for a particular product is N(x,y) = 80x0.8 40.2, 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 $60 and each unit of capital costs $120. 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. Homework: Section 7.4 Enhanced Assignment Question 7, 7.4.13 Part 1 of 2 > HW Score: 52.6%, 8.42 of 16 points X Points: 0 of 1 Save Use the method of Lagrange multipliers to find the maximum and minimum of f(x,y) = 5xy subject to x2 + y2 = 98. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. The maximum value is It occurs at the point(s) given by the ordered pair(s) (Use a comma to separate answers as needed.) OB. The function does not have a maximum. < > Save = Question 13, 7.4.31-BE Homework: Section 7.4 Enhanced Assignment HW Score: 52.6%, 8.42 of 16 points Part 1 of 3 O Points: 0 of 1 A manufacturing company produces two models of an HDTV per week, x units of model A and y units of model B with a cost (in dollars) given by the following function. C(x,y) = 6x2 + 12y2 If it is necessary (because of shipping considerations) that x + y = 120, how many of each type of set should be manufactured per week to minimize cost? What is the minimum cost? To minimize cost, the company should produce units of model A. III Homework: Section 7.4 Enhanced Assignment Question 1, 7.4.1 Part 2 of 3 > HW Score: 52.6%, 8.42 of 16 points O Points: 0 of 1 Save Minimize f(x,y) = x2 + xy + y2 subject to y= - 38 without using the method of Lagrange multipliers; instead, solve the constraint for x or y and substitute into f(x,y). Use the constraint to rewrite f(x,y) = x2 + xy + y2 as a function of one variable, g(x). g(x)= x2 – 38x + 1444 The minimum value of f(x,y) = x2 + xy + y2 subject to y= -38 occurs at the point (Type an ordered pair.)
