The graphs show the constraint and several level curves of the objective function. Use the graph...
Minimize the following function subject to the given constraint. (Round your answers to three decimal places.) Minimize the function fx, y, z)- x2 + y2 +z2 subject to the constraint 7x 8y 9z - 8 minimum of at (x, y, z)= X Need Help?Read It Talk to a Tutor -1 points TanApCalcBr10 8.5.017 My Notes Ask Your Teacher The total weekly profit (in dollars) realized by Country Workshop in manufacturing and selling its roll top desks is given by the...
Graph the region R bounded by the graphs of the given equations. Use set notation and double inequalities to describe R as a regular x region and as a regular y region. y=4 - x?.y=0,Osx52 Choose the correct graph of the region R below. OA OB. Oc OD Q Q Q 51 E 3 Describe R as a regular x region R={(x,y)| OD Describe R as a regular y region. R={(x,y) DD Minimize f(x,y) = x2 + xy + y2...
By inspecting a graph of y = sin x, determine whether the function y = sin x is increasing or decreasing on the interval The function y=sin x is on the interval By inspecting a graph of y = sin x, determine whether the graph is concave up or concave down on the interval (1,21). The graph is on the interval (1,21). Minimize f(x,y)= x2 + xy + y2 subject to y = 20 without using the method of Lagrange...
Find the indicated maximum or minimum value of the objective function in the linear programming problem. Maximize f - 30x + 40y subject to the following constraints. x + 2y = 48 x + y s 30 2x + y 50 x 20, y 20 Need Help? Read It Vatch It Talk to a Tutor -/12.5 POINTS HARMATHAP9 4.2.015.MI. EE Solve the following linear programming problem. Restrict x 20 and y 20. Maximize = 3x + 5y sub/ect to the...
Consider the following constraints and the corresponding graph below: Constraint 1 Constraint 2:x+2ys8 Constraint 3 x-3y 2-2 2x-v21 2r-y-1 4 4 6 b. (3 points) The objective function is Minimize 2x-3y. Mark the optimal solution(s) n the above graph. Do not calculate the x and y coordinates at optimal solution(s). Draw the optimal objective function line through the optimal solution(s)
Consider the following constraints and the corresponding graph below Constraint 1: 2x-y21 Constraint 2:x+2y S8 Constraint 3: x-3y 2-2 2x-y-1 4 x +2y 8 4 7 a. (3 points) Shade the feasible region in the graph provided above. b. (3 points) The objective function is Minimize 2x-3y. Mark the optimal solution(s) in the above graph Do not calculate the x and y coordinates at optimal solution(s). Draw the optimal objective function line through the optimal solution(s).
Consider the following constraints and the c g graph below: Constraint L:4x-y21 Constraint 2: x+ys4 Constraint 3:-x-4y 2-8 x, y20 4x-y=1 x-4y -8 a. (2 points) Shade the feasible region in the graph provided above. b. (1 point) For this part only the objective function is Minimize -2x + y. Which of the following describes the optimal solution? (Put a check next to your answer) Infeasible solution Unique optimal solution the point (4,0) minimizes the LP Alternate optimal solution Unbounded...
-/2 POINTS TANAPCALC10 8.5.001. Use the method of Lagrange multipliers to minimize the function subject to the given constraint. (Round your answers to three decimal places.) Minimize the function f(x, y) = x2 + 5y2 subject to the constraint x + y - 1 = 0. minimum of at (x, y) = 0 at (x, y) =( Need Help? Read It Watch It Talk to a Tutor
4. (8 pts.) The level curves of z = = f (x, y) are given along with the constraint curve g(x, y)= 8 9(x, y) = 8 40 50 60 70 0 30 20 10 a. Maximize and minimize f on the constraint. b. Label the point where the maximum occurs as A and the point where the minimum occurs as B. c. Sketch in the approximate vectors Vf and Vg at the points A and B.
48. Connecting Graphs and Equations The curves on the graph below are the graphs of the three curves given by 4x+ 5 = + 2x - x +3 y3= x3 - 2125x2 15 10 5 T T -21 -5-4 34 5 1 -5 -10 (a) Write an equation that can be solved to find the points of intersection of the graphs of yi and y2. (b) Write an equation that can be solved to find the x-intercepts of the graph...