Linear Programming

Closed Posted 3 years ago Paid on delivery
Closed Paid on delivery

Linear Programming:

Many problems in real life are concerned with obtaining the best result within given constraints.

In the business world, people would like to maximize profits and minimize loss; in production,

people are interested in maximizing productivity and minimizing cost. However, there are

constraints like the budget, costs, time, number of workers, production capacity, space, etc.

Linear programming deals with this type of problems.

A pharmaceutical company manufactures two types of medicine-tablets: Tablet-A and Tablet-B.

Each case of tablet-A requires 3 hours of processing time and 1 hour of curing time per week.

Each case of Tablet-B requires 5 hours of processing time and 5 hours of curing time per week.

The schedule allows 55 hours of processing time and 45 hours of curing time weekly. The

company must produce no more than 10 cases of Tablet-A and no more than 9 cases of Tablet-B.

If the company makes a profit of AED320 on each case of Tablet-A and AED500 on each case

of Tablet-B. (8 Points,

2+2+2+1+1)

a. Develop the linear programming model for this problem? [You must clearly define the

decision variables]

b. Use a GRILL-LINE to clearly and neatly show the feasible region.

c. Find the optimal solution (i.e. How many cases of each tablet should be produced in

order to maximize profit?

d. How much (in AED) will be the maximum profit? [Clearly show your calculation]

e. Calculate the slack for each constraint.

Mathematics

Project ID: #24735857

About the project

12 proposals Remote project Active 3 years ago

12 freelancers are bidding on average ₹1633 for this job

muratalper99

I have ph. D in statistics with vast experience in studying data and running data analysis. I can do your project efficiently

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5.0
hussain62333

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4.6
madhusudan1026

This problem is easy with a simple LP solver. I am currently working as a data scientist in Abu Dhabi.

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2.9
ahhamid51

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₹1550 INR in 2 days
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2.5
engrsaad03125

Dear Client! I am an Industrial engineer and have an experience in Operation research, Linear programming, Excel Solver, Simplex Method, Big M method etc... Looking forward to your positive response Thanks Regard's F More

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damishwar

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MahsaTLZ

Hi there. I read the text and found that you want to define a cost function and minimize it to solve the problem. I can help you because I have an MS in electrical engineering and I have solved many problems in linear More

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1.7
arslanwaheed03

hi, i am expert of linear programming, i can complete it without a single mistake. teaching linear programming for 7 years.

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abdullahaijaz82

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₹1250 INR in 4 days
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