Question 29LP theory states that the optimal solution to any problem will lie at(A) the central point of the feasible region.(B the highest point on the feasible region.the lowest point on the feasible region.D a corner point on the feasible region.

In this solution, we will discuss that the optimal solution of a Linear programing problem and its…

Answered: LP theory states that the optimal…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Resource Allocation You manage an ice cream factory that makes two flavors: Creamy Vanilla and Continental Mocha. Into each quart of Creamy Vanilla go 1 egg and 2 cups of cream. Into each quart of Continental Mocha go 2 eggs and 1 cup of cream. You have in stock 700 eggs and 800 cups of cream. Draw the feasible region showing the number of quarts of vanilla and number of quarts of mocha that can be produced. (Place Creamy Vanilla on the x-axis and Continental Mocha on the y-axis.) y -1000 O -500 (x, y) = -([ 1000 500 -500 1000 Solution Set 300 1000 -1000 DO -500 y 1000 500 -500 1000 Solution Set. 00 1000 -1000 DO -500 1000 y 500 -500 -1000 Find the corner points of the region. (Order your answers from smallest to largest x, then from smallest to largest y. If an answer does not exist, enter DNE.) (x, y) = (x, y) = (x, y) = Solution Set 00 1000 O -1000 -500 1000 500 -500 y 1000 Solution Set 300 1000 Q
Does the following linear program involve infeasibility, unbounded and/oralternative solutions? Justify your answer.
Answear in picture and : Answer : the next basic feasible solution along the path to the optimal solution is at what value of (x1,x2)? ( TYPE AN ORDERED PAIR) & graph
Resource Allocation You manage an ice cream factory that makes two flavors: Creamy Vanilla and Continental Mocha. Into each quart of Creamy Vanilla go 1 egg and 2 cups of cream. Into each quart of Continental Mocha go 2 eggs and 1 cup of cream. You have in stock 700 eggs and 800 cups of cream. Draw the feasible region showing the number of quarts of vanilla and number of quarts of mocha that can be produced. (Place Creamy Vanilla on the x-axis and Continental Mocha on the y-axis.) The x y-coordinate plane is given. There are 2 lines and a region labeled "solution set" on the graph. The first line enters the window in the second quadrant, goes down and right, passes through the approximate point (0, 350), passes through the point (300, 200) crossing the second line, crosses the x-axisat x = 700, and exits the window in the fourth quadrant. The second line enters the window in the second quadrant, goes down and right, passes through the approximate point (0, 800), passes through…
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„ Show complete neat and organized solution. (define the variables, LP model, feasible region, optimal solution, final answer in statement form) Mike must work at least 18 hours a week to supplement his income while attending school. He has the opportunity to work in two retail stores. In store 1, he can work between 5 and 13 hours a week, and in store 2, he is allowed between 6 and 11 hours. Both stores pay the same hourly wage. In deciding how many hours to work in each store, Mike wants to base his decision on work stress. Based on interviews with present employees, Mike estimates that, on an ascending scale of 1 to 10, the stress factors are 8 and 6 at stores 1 and 2, respectively. Because stress mounts by the hour, he assumes that the total stress for each store at the end of the week is proportional to the number of hours he works in the store. How many hours should Mike work in each store?
graph the feasible region.
Shown in the diagram is an unbounded feasible set formed by 3 inequalities. The corners of the feasible set are all points with integer coordinates. Find the locations, i.e. the ry-coordinates, of the max and min of the objective function 8r + 6y on this feasible set. 5. 4 -1 max: none max: none (A) (B) min: none min: (3,0) max: (3,0) (5,4) max: (C) (D) min: none min: none max: (3,0) (E) min: (5,4) (5,4) (3,0) max: (F) min: max: (0,0) min: (6,6) max: none (G) (H) min: (5,4)

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LP theory states that the optimal solution to any problem will lie at (A) the central point of the feasible region. the highest point on the feasible region. the lowest point on the feasible region. D a corner point on the feasible region.