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Directions: Establish the table of information and formulate the LP Model of the following: (15 points each )


1.) Rina needs at least 48 units of protein, 60 units of carbohydrates, and 50 units of fat each month. From each kilogram of food A, she receives 2 units of protein, 4 units of carbohydrates, and 5 units of fats. Food b contains 3 units of protein, 3 units of carbohydrates, and 2 units of fats. If food A costs Php110 per kilogram and food B costs Php 90 per kilogram. How many kilograms of each food should Rina buy each month to keep costs at a minimum?

Solution:

Let  x= _________________ and y = ______________________


Table of information


Objective Function:________________


Subject to Constraints:


determine the linear programming an dsimplex method of

A national steel manufacturer wants to know the number of units that should be produced each day in a sequential schedule so as to maximize total steel production while meeting certain contractual, budget, and other constraints.


There are two parts to this homework assignment, each with multiple questions. Please insert answers


under corresponding questions, then save the document as a pdf and upload it to CANVAS.


Providing


your R code is not required, but it may be helpful when assigning partial credit.



1.      Explain how an operating system protects main memory in a computer system.

2.      Discuss three responsibilities that an operating system has for file management in a computer system.

3.      Clearly distinguish between interrupt and trap. Give examples to illustrate your answer.

4.      Describe time-sharing systems and give an example to illustrate your answer.

5.      Discuss the 4 categories in which work concerning information security and protection relating to Operating Systems are grouped.


1.     COVID-19 has created many information systems-enabled opportunities for individuals and organizations globally. Discuss this statement and give 5 appropriate examples to illustrate your answer.

2.     Discuss 4 rules that must be complied with when we are drawing Data Flow Diagrams.

3.     Describe the relationship (if any) between methodology, models, tools and techniques.

4.     Discuss any 2 phases of information systems development process.

5.     Distinguish between Rapid Application Development (RAD) Approach and Information Engineering (IE) Approach


Daily requirements of 70 g of protein, 1 g calcium, 12 mg iron, and 3000 calories are needed for a balanced diet. The following foods are available for consumption with the cost and nutrients per 100 g as shown.

 

Protein

(g)

Calories

Calcium

(g)

Iron

Cost

GH¢

Brown Bread

12

246

0.1

3.2

0.5

Cheese

24.9

423

0.2

0.3

2

Butter

0.1

793

0.03


1

Baked Beans

6

93

0.05

2.3

0.25

Spinach

3

26

0.1

2

0.25

 

The objective is to find a balanced diet with minimum cost.

(a) Formulate a linear programming model for this problem.

(b) Use solver to find optimal solution and sensitivity report.   


What is recursive definition define with example.




What is the importance of automata theory? Where it can be applied? What is the basic unit of language? Show the examples


Draw DFAs for the regular expression R= a ∗ (ba∗ ba∗ ) ∗ 





Construct NFA for the regular Expression R=(a+b) ∗abb. 


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