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Q: Find the values of x and y that minimize xy + y -x-2 subject to the constraint x-6y 0. y%3(Simplify…

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Q: State the dual problem for the given problem, but do not solve it. w = 8y, + 2y2 subject to y, + 9y2…

A: The given primal problem is as follows. Minimize w=8y1+2y2 Subject to…

Q: . If the cost function for a firm producing x packages is given by C(x) = 48x + 5 and the revenue…

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Q: Find the values of { and g with (20 and g20 that maximize the following utility function subject to…

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Q: What is the set of approximate y-values of the relative minimum and maximum of this graphed…

A: Given the graph

Q: Find the values of and g with t20 and g20 that maximize the following utility function subject to…

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Q: Use techniques of optimization to determine which point on the line (0,0). That is, what point on…

A: The solution of given problem is as below :

Q: Of all numbers whose sum is 54, find the two that have the maximum product. That is, maximize Q = xy…

A: The answer is found in step-2

Q: Find the value of the objective function z = 5x + 6y at each corner of the graphed region. What is…

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Q: A manufacturer wishes to produce rectangular boxes with square bottoms and tops. Each box is to have…

A: given that rectangular box with square bottom and top has volume 54 cubic inches. Let side of square…

Q: Briefly explain how you can determine the optimal result for x1 and x2 based on the graph shown in…

A: Maximize:  z=x+y Subject to:           3x-y≤91.75x+y≤154x-2y≥0 To draw constraint 3x-y≤9 Take 3x-y=9…

Q: A patient's pulse measures 70 bpm, 80 bpm, then 120 bpm. To determine an accurate measurement of…

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Q: Use the method of corners to find the point(s) that maximize the objective function P-3x+y given the…

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Q: The profit equation for for Scotty’s Socks is given by P (q) = (2/3)q3 −(q^2) − 4q + 8, where q is…

A: Given the equation of profitP(q)=23q3−q2−4q+8

Q: Billy is using the function E = 1.89x + 2.89y to minimize his expenses when selling markers and…

A: Graphical method, linear programming

Q: Q3. Find the maximum and minimum value of the LPP using the graph given below: Objective Function,…

A: Solution : Given the graph  and  Objective function is                               Z = 25X1 +…

Q: Ask Your Teacher   A vacationer on an island 8 miles offshore from a point that is 48 miles from…

A: A vacationer on an island 8 miles offshore from a point that is 48 miles from town must travel to…

Q: Maximize P subject to the following constraints. P- 3x + 2y Sx20 {y20 x + ys 5 Find the maximum…

A: Explanation of the solution is given below... using the graphical method....

Q: Ques. 2.Write down the K-T conditions for the following problem: Maximize 3 X-2x2 Subject to 2X1…

A: We are given a nonlinear optimization problem, and we have to find the the KKT-conditions for that…

Q: Find the quantities of each product that the consumer should buy, subject to the budget, that will…

A: The objective function to be maximized is U=fx,y given by U=x3y3 subject to the constraint xpx+ypy=l…

Q: Find the values of { and g with {20 and g20 that maximize the following utility function subject to…

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Q: A corporation manufactures candles at two locations. The cost of producing x1 units at location 1 is…

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Q: What is the dual of the problem below Maximize: P(, ) d 6x, + x: subject to: (2x, +3x, 56 4x+2x s8…

A: Steps to convert primal to dual : 1) If primal is of minimization type then dual will be…

Q: Find the value of the objective function z = 40x + 50y at each corner of the graphed region. What is…

A: Given objective function - z = 40x+50yThere are four corners, let they are A, B, C and DA = 0, 8B =…

Q: why minimize ||A x – b|| + A ||x|| and minimize ||A x – b||² + A ||x||2 are the same?

A: Consider the terms of the given function one by one Now the given function of x gives always the…

Q: Introduction to Lincar Progromming (a) maximize 3r, +22 subject to 2r- 2 2, I +2r S8. " 20.

A: Note: as per our guidelines we are supposed to answer only one question if there are multiple…

Q: If the total revenue function for a computer is  R(x) = 3000x − 5x2 − x3,  find the level of sales,…

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Q: You are about to take a test that contains questions of type A worth 4 points and type B worth 7…

A: This is  linear programming  need to maximize s on given constraints

Q: Find the value of the objective function z = 30x + 45y at each corner of the graphed region. What is…

A: Given an objective function, z=30x+45y                             ....(1) And the graph

Q: Find the values of l and g with {20 and g20 that maximize the following utility function subject to…

A: The objective of the question is find the the optimal (maximize) value of the utility function at…

Q: Find the values of { and g with {2 0 and g20 that maximize the following utility function subject to…

A: We have f(l,g)=4 l1/2 g1/2 and we let h(l,g)=3l+5g-18=0 So we make a Lagrangian function say…

Q: 10 9. 0, 8) 8. 6. (5, 4) 4 3 1 9, D 0 1 2 3 4 5 6 7 8 9 Find the values of x and y that maximize the…

A: We have to find the values of x and y that maximize the objective function P=3x+2y for the graph.…

Q: Please use graph to find the solution. The problem here is to minimize C = 6x + 8y subject to 40x +…

A: We will find out the required minimum value.

Q: If y =4√x- x the value of x that maximizes y is ......... and this maximum is

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Q: Q3. Find the maximum and minimum value of the LPP using the graph given below: Objective Function, Z…

A:

Q: Find the value of the objective function z = 2x + 3y at each corner of the graphed region shown.…

A: Substitute x=2,y=2 in z=2x+3y and obtain the value of the objective function. z=22+32z=4+6z=10

Q: Use graphical method to solve the following. Maximize g = 3x + y. subject to x + 4y ≤ 12 x + y ≤ 9 y…

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Q: Solve the following problem using artificial variables. Maximize z= 3x, + 2x, subject to the…

A: Given,  Maximize z=3x1+2x2 subject to the constraints  x1+x2=804x1+2x2≥1205x1+2x2≤300 with x1≥0,…

Q: maximum

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Q: A legal-sized sheet of paper (8.5 inches by 14 inches) is folded so that corner P touches the…

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Q: Joe is using the function E = 1.89x + 2.89y to minimize his expenses when selling markers and…

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Q: Find the absolute extreme values of the function f(x, y, z) = &x + 3y + 3z subject to the…

A: In this question we have to find the absolute maximum and minimum value. Given, f(x, y, z) = 8x + 3y…

Q: 6. (a) Maximise f (r, y) = 2r + y subject to 2a2 + y = 1 (b) Minimize f(r, y) = 2r + y subject to…

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Q: 10 |0, 8) 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 8 9

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Q: y 10- 8. A (0, 6) 6 B (7, 5) 2 D (5, 0) C (8, 0) X 2 4 6 8. 10

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Q: find: a. The optimal solution for PLE. b. Find the whole solution, rounded. c. How much profit could…

A: Given problem is: Maximize 6x1+2x2+x3 Subject to…