1. To find the optimal solution to a linear programming problem using the graphical methoda. find the feasible point that is the farthest away from the origin.b. find the feasible point that is at the highest location.c. find the feasible point that is closest to the origin.d. None of the alternatives is correct.Let xij = the production of product i in period j. To specify that production of product 1 in period 3 and in period 4 differs by no more than 100 units, which of the following constraints are correct?P13 - P14 < 100; P14 - P13 < 100 (a)P13 - P14 < 100; P13 - P14 > 100 (b)P13 - P14 < 100; P14 - P13 > 100 (c)P13 - P14 > 100; P14 - P13 > 100 (d)3. Whenever all the constraints in a linear program are expressed as equalities, the linear program is said to be written ina. standard form.b. bounded form.c. feasible form.d. alternative form.

LP is an optimization technique to minimize or maximize an objective function in a provided mathematical model with a collection of requirements or constraints described as linear relations.Answer 1: The correct option is (D) In the graphical method, the optimal solution can occupy or lie on any of the feasible points. It can simply be obtained by reinstating the feasible point coordinates in the given objective function separately. The arrangement of the optimal solution relies upon the kind of constraints and will differ as indicated by them. Hence options A, B, and C is not appropriate for this scenario since the graphical method does not depend on feasible points to achieve an optimal solution. Answer 2: The correct option is (A) The distinction between product 1 in period 3 should not be more than product 1 in period 4 by 100 It should not be less than product 1 in period 4 by 100 Therefore, For constraint of not being more - P13 ≤ P14 + 100 Hence, P13 - P14 ≤ 100 eq-(1) For constraint of not being less- P13 ≥ P14 - 100 P14 - P13 ≥ 100 eq-(2) Therefore, from eq-(1) and (2), we get that Option (A) is correct Answer 3: The correct option is (A) At whatever point every one of the constraints in a linear program is represented as equalities like- which means≤ and ≥ or = Then, at that point, a linear program is supposed to be formulated in the standard form.

Answered: To find the optimal solution to a…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

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1. To find the optimal solution to a linear programming problem using the graphical method

a. find the feasible point that is the farthest away from the origin.

b. find the feasible point that is at the highest location.

c. find the feasible point that is closest to the origin.

d. None of the alternatives is correct.

Let x_ij = the production of product i in period j. To specify that production of product 1 in period 3 and in period 4 differs by no more than 100 units, which of the following constraints are correct?
P₁₃ - P₁₄ < 100; P₁₄ - P₁₃ < 100 (a)
P₁₃ - P₁₄ < 100; P₁₃ - P₁₄ > 100 (b)
P₁₃ - P₁₄ < 100; P₁₄ - P₁₃ > 100 (c)
P₁₃ - P₁₄ > 100; P₁₄ - P₁₃ > 100 (d)