Question
Formulate the dual of the LPP
Max.
Subject to  
                 
                  
The primal linear programming problem (LPP) is:
Maximize: $z = x_1 + 2x_2 + x_3$
Subject to:
$x_1 + 2x_2 + x_3 leq 10$
$3x_1 + 2x_2 + 5x_3 leq 15$
$x_1 + x_2 + x_3 geq 0$
_______ ______ ___ ____________ ___________ __________ _____ ____ __ ____ __.A department has 5 jobs to be performed and there are five employees to perform these jobs. The time (in hours) each employee will take to perform each job is given in the following matrix:
A fertilizer company distributes its products by trucks loaded at its only loading
station. Both, company trucks and contractor’s trucks are used for this purpose. It
was found out that on an average every 5 minutes one truck arrived and the average
loading time was 3 minutes. 40 percent of the trucks belong to the contractors.
Making suitable assumptions, determine:
 i) The probability that a truck has to wait.
 ii) The waiting time of a truck that waits.
 iii) The expected waiting time of contractor’s trucks per day. 
Define the objective of budgeting and budgetary control.
Explain the various methods of resolving conflicts in an organization.
Explain the basic process of communication. What purposes are served through vertical communication?
An ABC analysis is used to determine the re-order point in an inventory problem.
Explain various cost components of Detailed Project Report.
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