Suppose the feasible region has four corners at these points (0,0), (8,0), (0,12), and (4,8).  If the profit formula is P = $2x + $4y, what is the maximum profit possible?

Q: At the optimal solution from part a), analyze the bank’s constraints (number of new branches, number…

A: answer of given question is in next step

Q: Use lagrange multipliers to find three positive numbers whose sum is 51 and the sum of whose squares…

A: Given that, the sum of the positive number is 51. That is, Fx,y,z=x2+y2+z2 and gx,y,z=x+y+z=51.…

Q: Consider the feasible set in the figure on the right, where three of the boundary lines are labeled…

A: Consider the feasible set as given in the problem where three of the boundary lines are labelled…

Q: Graph the feasible region for the system of inequalities. 3x - 2y less than equal to 6 x - 1…

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Q: Graph the feasible region.  x + y ≤ 3 and  x ≥ 1, y ≥ 0

A: Given    x+y⩽3  and x⩾1, y⩾0     To draw x+y⩽3, first draw x+y=3    ⇒y=-3+3    x     0…

Q: Use Lagrange multipliers to find three positive numbers whose sum is 18 and the sum of whose squares…

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Q: Maximise 1170x1 + 1110x2 Subject to: 9x1 + 5x2 ≥ 500 7x1 + 9x2 ≥ 300 5x1 + 3x2 ≤ 1500 7x1 + 9x2 ≤…

A: Graph all the inequalities using a tool.

Q: Where should he cut the wire so that the sum of the areas of the square and the circle is maximized?

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Q: 1. Find the maximum of P-4x+5y subject to 2x+y10 x20, y20 Sketch your feasible region and find all…

A: The LPP is given as max P=4x+5y subject to 2x+y≤24x-y≥0x+2y≥10x≥0y≥0   We will solve it by Graphical…

Q: Graph the feasible region. x + y 2 3 -x + y 2 1

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Q: : (a) Find the maximum value of 4x + 3y+ 2z subject to the constraints x+y+z 0. Do this by…

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Q: Locate the feasible region whose boundary lines are graphed below." Given the following constraints…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: A supermarket manager estimates that a total of 400 cases of soup will be sold at a steady rate…

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Q: Use the method of Lagrange Multipliers to find the maximum and minimumvaluesof x2+y2 subject to the…

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Q: Draw the feasible region for the table manufacturing problem, where the constraints are modelled as…

A: Given 2x1+3x2≤3023x1+2x2≤16513x1+4x2≤64x1,x2≥0 Now graph of 2x1+3x2=3023x1+2x2=16513x1+4x2=64 is

Q: Write a program for graphing a region R in the first quadrant of the x y -plane determined by linear…

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Q: Sketch the graph of the solution set of the system of inequalities. Label the vertices of the…

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Q: A triangle has variable sides x, y, z subject to the constraint such that the perimeters is fixed to…

A: answer is in next step

Q: Suppose a corporation manufactures candles at two locations. The cost of producing *1units at…

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Q: A factory can produce two products, x and y, with a profit approximated by…

A: We need to find vertices and max. profit.

Q: Locate the feasible region whose boundary lines are graphed below. Given the following constraints…

A: We will find out the required solution.

Q: x+y≤10 2x-y≤2 x≥0 x≥0

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Q: If the point (2,2) is in the feasible set and the vertices of the feasible set are…

A: we have given the points (0,0),(0,20),(8,16),(14,9),(17,0) are the vertices of feasible regionand…

Q: Use the polygon tool to graph the feasible region for the following constraints. *+ 2y < 14 (20

A: the given  problem is related to graphs

Q: Solve min x1-x2-2x3 problem by means of Lagrange multipliers under the constraints of x1+x2+x3=5 and…

A: To determine maxima and minima of the function with respect to some constraints then follow as Find…

Q: It has been said each LP problem that has a feasible region has an infinite number of solutions?…

A: In each LPP, since the feasible region is continuous, and if we can consider accepting non-integer…

Q: Also, we must have *0. yz0. Therefore, the above problem can be formulated as follows: find x and y…

A: Given the LPP problem is, Max z=2x+125y12x+13y≤130...112x+23y≤170...2 Converting the given…

Q: Find r and h that minimize S subject to the constraint V = 54n.

A: Here V=54π and we should minimize  S=2πrh+2πr2 under the constraint V=54π=πr2h V(r,h)=πr2h-54π

Q: A company makes two types of electronic devices: laptops and tablets. Its business plan says that it…

A: This question can be solved using the concept of linear programming

Q: Consider the feasible set in the figure on the right, where three of the boundary lines are labeled…

A: Need to find the point at which the given objective function has least value

Q: A satellite television reception station is to be located at point P so that the sum of the squares…

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Q: Use Lagrange multipliers to find three positive numbers whose sum is 230 and whose product is…

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Q: Use the simplex method to find x, 20 and x, 20 such that X1 + 4x2 2 26 X1 + X2 546 and such that z =…

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Q: In the feasible area on a graph the following points are the vertices: (0,0), (0,5), (4,10),…

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Q: Which of these coordinate points lies withing the feasible region? *

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Q: Find the multiple solutions. Maximize  z = 45x1 + 30x2,  subject to 2x1  +  9x2  ≤  144 2x1  +…

A: z=45x1 +30x2subject to 2x1 +9x2 ≤1442x1 +3x2 ≤603x1 +2x2 ≤75x1 ≥0 , x2 ≥0  To find : Maximum value…

Q: Find the values of x, y that maximize 7. - 2x? - 2xy - +x+ 9y 13 subject to the constraint x+ y -…

A: The solution of the problem is given in the next step.

Q: Suppose the following graphical representation of feasible solutions and direction of increasing of…

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Q: What necessary conditions are replaced by "minimize"? obeyed by a solution to (1) if "maximize" were

A: To write the  necessary condition for min ∫t0t1F(t,x(t),x'(t))dt with x(t0)=x0

Q: Graph the feasible region for the system of inequalities  x-3y is greater than or equal to 6 3x+y…

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Q: Sketch the graph of the solution set of the system of Inequalities. Label the vertices of the…

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Q: Find solution using graphical method and then solve it by using LINGO Maximize Z = 15x1 + 10x2…

A: Given LPP problem is  Maximize Z=15x1+10x2 Subject to  4x1+6x2≤3603x1≤1805x2≤200x1,x2≥0 To solve the…

Q: Find the values of x, y, and z that maximize xyz subject to the constraint 1344 - x- 16y - 7z = 0.

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Q: Maximize the function P = 9x – 8y subject to y 2 6x + 6y < 36 9x + 3y 2 27 What are the corner…

A: We need to maximize the function P=9x-8y subject to the constraints, x≥0y≥06x+6y≤369x+3y≥27

Q: In Genshin Impact, the optimal crit rate r to crit damage y ratio can be obtained by maximizing the…

A: Given information:The ratio of optimal crit rate to crit damage y is found by maximising  the…

Q: Consider the feasible set in the figure on the right, where three of the boundary lines are labeled…

A: We have give a feasible set in the figure. we have to find the least value of the point in given…

Q: Constraint:

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