A company operates to produce two products x₁ and x2. The production process involves two main resources: labor hours and raw materials. The objective is to maximize the total profit. Below is the formulated linear programming problem: Objective Maximize Subject to Z=2x+3x2 Labour hours Raw materials x1+ 2x2 ≤ 30 x1 + x2 ≤ 20 X1, X2 NO Final Iteration Optimal Tableau Coefficients of: RHS Basic Variables Z x1 X2 X3 X4 Z 1 0 0 1 1 50 X2 0 0 1 1 -1 10 x1 0 1 0 -1 2 10 Use the optimal tableau to write the equations of Z, x1 & x2 in terms of D, & D2 - - - Suppose that the labour time decreases to become 20 hrs instead of 30 hrs, is this a feasible answer? Show your work. Suppose the raw material available decreased to become 10 instead of 20 units, is this feasible answer? Show your work. Find the feasibility ranges of the resources? Showing the allowable increase and allowal decrease.
A company operates to produce two products x₁ and x2. The production process involves two main resources: labor hours and raw materials. The objective is to maximize the total profit. Below is the formulated linear programming problem: Objective Maximize Subject to Z=2x+3x2 Labour hours Raw materials x1+ 2x2 ≤ 30 x1 + x2 ≤ 20 X1, X2 NO Final Iteration Optimal Tableau Coefficients of: RHS Basic Variables Z x1 X2 X3 X4 Z 1 0 0 1 1 50 X2 0 0 1 1 -1 10 x1 0 1 0 -1 2 10 Use the optimal tableau to write the equations of Z, x1 & x2 in terms of D, & D2 - - - Suppose that the labour time decreases to become 20 hrs instead of 30 hrs, is this a feasible answer? Show your work. Suppose the raw material available decreased to become 10 instead of 20 units, is this feasible answer? Show your work. Find the feasibility ranges of the resources? Showing the allowable increase and allowal decrease.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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i want the last part only and show the allowable increase and allow
Transcribed Image Text:A company operates to produce two products x₁ and x2. The production process involves two
main resources: labor hours and raw materials. The objective is to maximize the total profit.
Below is the formulated linear programming problem:
Objective
Maximize
Subject to
Z=2x+3x2
Labour hours
Raw materials
x1+ 2x2 ≤ 30
x1 + x2 ≤ 20
X1, X2 NO
Final Iteration
Optimal Tableau
Coefficients of:
RHS
Basic Variables
Z
x1
X2
X3
X4
Z
1
0
0
1
1
50
X2
0
0
1
1
-1
10
x1
0
1
0
-1
2
10
Transcribed Image Text:Use the optimal tableau to write the
equations of Z, x1 & x2 in terms of D,
& D2
-
-
-
Suppose that the labour time
decreases to become 20 hrs instead
of 30 hrs, is this a feasible answer?
Show your work.
Suppose the raw material available
decreased to become 10 instead of 20
units, is this feasible answer? Show
your work.
Find the feasibility ranges of the
resources? Showing the allowable
increase and allowal decrease.
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