Phase II, part a
Hamed Jalali
Created on August 24, 2022
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Transcript
Session 3: Introduction to linear programming
Phase II) Building linear programming models
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A simple example
The Glickman Electronics produces two products: x-pod and BlueBerry. To produce these products, they need:
- Electronic work: each x-pod: 4 hours, each Blueberry: 3 hours
- Assembly work: each x-pod: 2 hours, each Blueberry: 1 hour
- Each x-pod yields a profit of $7;
- Each BlueBerry yields a profit of $5;
A simple example
The table below summarizes the info
Goal: determine the number of X-Pods and Blueberrys to produce to maximize the profit
Read the previous example carefully. Once you are ready, click on Start to answer some questions
Start
Go back
An employer suggested to produce 25 X-PODS and 50 BLUEBERRYS. What do you think about this suggestion?
It is a good idea
Question 1/3
It is possible but not a good idea
It is impossible to implement it
Next question
Well Done !
Indeed the solution requires more electronic work than available.
π
The solution does not satisfy the constraint regarding the electronic work
These solutions are called "infeasible"
X-PODS have a higher profit. If the firm only produces X-PODS, how much profit it can earn?
$ 350
Question 2/3
$ 420
$ 700
Next question
Well Done !
If the firm only produces X-PODS, it can produce a maximum of 50 X-PODS based on the assembly constraint.
π
Profit = 50 * 7 = $ 350
Is it a good idea to only produce X-PODS because they have a higher profit?
No, the firm can earn a higher profit by also producing Blueberrys
Question 3/3
Yes, it is the best thing to do
Well Done !
Based on Question 2, producing only X-PODS gives a profit of $350
π
You can easily verify that producing 40 X-PODS and 20 Blueberrys is feasible and gives a profit of $380
BUT! Can the company still do better? What is the optimal number of X-PODS and BlueBerrys? (You will see the answer later)
Try again!
Oops, not correct
Are you sure that the company has enough resources to implement the solution?
π
Try again!
Oops, not correct
Pay attention to both constraints. They determine the maximum X-PODS that the firm can produce
π
Try again!
Oops, not correct
What if the company reduces the number of X-PODS to 40 and then produce as much BlueBerrys as possible? Try it
π