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Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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
Transcribed Image Text:In a linear programming problem, if
the feasible region is closed and
bounded then the problem has no
. solution
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- 1. Leather Limited manufactures two types of belts: the deluxe model and the regular model. Each type requires 1 square meter of leather. A regular belt requires 1 hour of skilled labor, and a deluxe belt requires 2 hours. Each week, 40 square meter of leather and 60 hours of skilled labor are available. Each regular belt contributes USD 3 to profit and each deluxe belt, USD 4. (a) State the problem in a formal Linear Programming equations! (b) Solve the problem using Simplex method! (c) Write down your conclusion from the optimal solution that you have. (d) To improve the total profit of the company, is it better to increase the inventory of leather per week, or to increase the availability of skilled labor per week? Explain!arrow_forwardDetermine whether the following linear programming problem is infeasible, unbounded, or has multiple optimal solutions. Draw a graph and explain your conclusion. Maximize 400x + 500y Subject to 2x + 1y > 60 -3x + 4y < 90 x, y > 0arrow_forwardSolve the linear programming problem by the simplex method. Minimize 5x + y subject to the constraints shown on the right. The minimum value of Mis (Type integers or fractions.) which is attained for x = and y = x + y2 3 4x ≥ 11 x20, y20arrow_forward
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