Question

Consider the following linear programming model MAX 100 C + 80 S C <= 20 S...

Consider the following linear programming model

MAX 100 C + 80 S

C <= 20

S - C >= 10

C , S >= 0

The feasible region is shaded. At the optimal solution, the objective function value is 5,200

What is the maximum allowable increase in the RHS of the constraint

C <= 20 ?

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Consider the following Linear Programming model: Maximize x+2.5y Subject to x+3y<=12 x+2y<=11 x-2y<=9 x-y>=0 x+5y<=15 x>=0...
Consider the following Linear Programming model: Maximize x+2.5y Subject to x+3y<=12 x+2y<=11 x-2y<=9 x-y>=0 x+5y<=15 x>=0 y>=0 (a) Draw the feasible region for the model, but DO NOT draw the objective function. Without graphing the objective function, find the optimal solution(s) and the optimal value. Justify your method and why the solution(s) you obtain is (are) optimal. (4 points) (b) Add the constraint “x+5y>=15” to the Linear Programming model. Is the optimal solution the same as the one in (a)?...
The following constraints of a linear programming model have been graphed on the graph paper provided...
The following constraints of a linear programming model have been graphed on the graph paper provided to form a feasible region: 2X    + 6Y     >=    120 10X + 2Y     > =   200 X      +     Y     <=    120 X                     <=    100                  Y    <=      80 X,Y                  >=        0 Using the graphical method, determine the optional solution and the objective function value for the following objective functions. Graph the objective function as a dashed line on the feasible region described by the...
The following constraints of a linear programming model have been graphed on the graph paper provided...
The following constraints of a linear programming model have been graphed on the graph paper provided (same constraints found in problem #3) to form a feasible region: 2X    + 6Y     >=    120 10X + 2Y     > =   200 X      +     Y     <=    120 X                     <=    100                  Y    <=      80 X,Y                  >=        0 Using the graphical method, determine the optional solution and the objective function value for the following objective functions. Graph the objective function as a dashed line on...
Question 5 options: Consider the following integer linear programming problem: Max Z =       3x +...
Question 5 options: Consider the following integer linear programming problem: Max Z =       3x + 2y Subject to:    3x + 5y ? 30 4x + 2y ? 28                     x ? 8                     x , y ? 0 and integer The solution to the linear programming formulation is: x = 5.714, y = 2.571. What is the optimal solution to the integer linear programming problem? State the optimal values of decision variables and the value of the objective function.
Consider the following LP problem:           Max   3X1 + 2X2           s.t. 5X1 + 4X2 £...
Consider the following LP problem:           Max   3X1 + 2X2           s.t. 5X1 + 4X2 £ 40                 3X1 + 5X2 £ 30                 3X1 + 3X2 £ 30                        2X2 £ 10                 X1 ³ 0, X2 ³ 0 (1)   Show each constraint and the feasible region by graphs. Indicate the feasible region clearly.   (5 points) (2)   Are there any redundant constraints? If so, what constraint(s) is redundant? (2 points) (3)   Identify the optimal point on your graph. What...
1. Consider the following linear programming problem formulated by a team of business analysts at the...
1. Consider the following linear programming problem formulated by a team of business analysts at the JORDANA Company Inc. Max 3A+4B s.t. -1A + 2B ≤ 8 Constraint 1 1A +2B ≤ 12 Constraint 2 2A + 1B ≤ 16 Constraint 3 (a) Show the feasible region using the geometric or graphical approach. (b) What are the optimal values of the decision variables? (c) Find the optimal solution to this optimization problem.
Consider the following linear programming problem: Max 8X + 7Y s.t. 15X + 5Y ≤ 75...
Consider the following linear programming problem: Max 8X + 7Y s.t. 15X + 5Y ≤ 75 10X + 6Y ≤ 60 X + Y ≤ 8 X, Y ≥ 0 The optimal value of the objective function is ________. A)59 B)61 C)58 D)60
Solve the following linear programming model by using the graphical method: graph the constraints and identify...
Solve the following linear programming model by using the graphical method: graph the constraints and identify the feasible region. Using the corner points method, determine the optimal solution (s) (show your work). Maximize Z = 6.5x1 + 10x2 Subject to x1 + x2 ≤ 15 2x1 + 4x2 ≤ 40 x1 ≥ 8 x1, x2 ≥ 0 b. If the constraint x1 ≥ 8 is changed to x1 ≤ 8, what effect does this have on the optimal solution? Are...
Consider the following linear programming problem Max      7X + 8Y s.t.        5X + 15Y...
Consider the following linear programming problem Max      7X + 8Y s.t.        5X + 15Y <= 75             6X + 10Y <= 60             X + Y <= 8             X, Y >= 0 What are the maximum values of the objective function? Group of answer choices 15 59 75 70 5
Question 5 options: Consider the following integer linear programming problem: Max Z =       3x +...
Question 5 options: Consider the following integer linear programming problem: Max Z =       3x + 2y Subject to:    3x + 5y ≤ 30 5x + 2y ≤ 28                     x ≤ 8                     x, y ≥ 0 and integer The solution to the linear programming formulation is: x = 4.21, y = 3.47. What is the optimal solution to the integer linear programming problem? State the optimal values of decision variables. x = , y =