Question

a. For which decision environment is linear programming most suited? b. What is meant by the...

a. For which decision environment is linear programming most suited?

b. What is meant by the term "feasible solution space"? What determines this region?

c. What is an isocost line? An isoprofit line?

Homework Answers

Answer #1

A. Linear programming most suited in situations where there are many variables and specific constraints . this type of prgramming works best to obtain optimal solution to problem where there is a single objectives.

B. The feasible solution space refers to the set of all feasible combination of decision variable as defined by the constraints. This region is determined by the geographical region that consists of all the possible solution of the decision variables including optimal and unoptimal decision.

C. Isocost line illustrate all the possible combinations of two factor that can be used at given costs and for a given producer budget. An isocost line represent the combination of inputs which all cost the same amount.

Isoprofit line is defined as a graph of the profit function. isoprofit is a line which represents the optimal solution point in a graphical solution.

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
If a problem is referred to as a linear programming problem, what must be true? A)...
If a problem is referred to as a linear programming problem, what must be true? A) the objective function must be linear B) both the objective function and the constraints must be linear C) the constraints must be linear D) the decision variables must be linear Three essential elements of a linear programming formulation are the: A) decision variables, feasibility, constraints B) constraints, objective function, non-negativity C) decision variables, objective function, constraints D) objective function, constraints, solution When constraints identify...
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 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 ?
a. Solve the following linear programming model by using the graphical method: graph the constraints and...
a. Solve the following linear programming model by using the graphical method: graph the constraints and identify the feasible region then determine the optimal solution (s) (show your work). Minimize Z = 3x1 + 7x2 Subject to 9x1 + 3x2 ≥ 36 4x1 + 5x2 ≥ 40 x1 – x2 ≤ 0 2x1 ≤ 13 x1, x2 ≥ 0 b. Are any constraints binding? If so, which one (s)?
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 model: Minimize -2x+y Subject to x-y<=1 2y-x<=3 x+10y<=50 2x+y<=14 x>=0 y>=0...
Consider the following Linear Programming model: Minimize -2x+y Subject to x-y<=1 2y-x<=3 x+10y<=50 2x+y<=14 x>=0 y>=0 (a) Draw the feasible region and objective function for the model. Report what you find about the optimal solution(s) and the optimal value. Justify your finding. (4 points) (b) Is there any redundant constraint? Which one(s) and why?
(a) what is meant by the term ' multiplier effect ' as used in macroeconomics? (b)...
(a) what is meant by the term ' multiplier effect ' as used in macroeconomics? (b) what determines the size of the spending (expenditure) multiplier? (c) why is the multiplier effect of an increase in welfare payments less than the multiplier effect of an increase in government spending of an equal amount?
The following is the mathematical model of a linear programming problem for profit: Maximize subject to...
The following is the mathematical model of a linear programming problem for profit: Maximize subject to Z = 2X1 + 3X2 4X1+9X2 ≤ 72 10X1 + 11X2 ≤ 110 17X1 + 9X2 ≤ 153 X1 , X2 ≥ 0 The constraint lines have been graphed below along with one example profit line (dashed). The decision variable X1 is used as the X axis of the graph. Use this information for questions 19 through 23. A). Which of the following gives...
Consider the following linear programming model with 4 regular constraints: Maximize 3X + 5Y subject to:...
Consider the following linear programming model with 4 regular constraints: Maximize 3X + 5Y subject to: 4X + 4Y ≤ 48 (constraint #1) 2X + 3Y ≤ 50 (constraint #2) 1X + 2Y ≤ 20 (constraint #3) Y ≥ 2 (constraint #4) X, Y ≥ 0 (non-negativity constraints) (a) Which of the constraints is redundant? Constraint #____. Justify using the data from the above LP model: ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ (b) Is solution point (10,5) a feasible solution? _____. Explain using...
The following is the mathematical model of a linear programming problem for profit: Maximize Z =...
The following is the mathematical model of a linear programming problem for profit: Maximize Z = 2X1 + 3X2 subject to: 4X1 + 9X2 ≤ 72 10X1 + 11X2 ≤ 110 17X1 + 9X2 ≤ 153 X1 , X2 ≥ 0 The constraint lines have been graphed below along with one example profit line (dashed). The decision variable X1 is used as the X axis of the graph. Which of the following gives the constraint line that cuts the X2...