Solve the following lpp by graphical method, Operation Research

Assignment Help:

A company manufactures two types of printed circuits. The requirements of transistors, resistors and capacitor for each type of printed circuits along with other data are given in table.

 

 

Circuit

Stock available (units)

A

B

Transistor

15

10

180

Resistor

10

20

200

Capacitor

15

20

210

Profit

Rs.5

Rs.8

 

How many circuits of each type should the company produce from the stock to earn maximum profit.

[Ans. Max Z = 82, 2 units of type A circuit and 9 units of type B circuit]

 

2. A company making cool drinks has 2 bottling plants located at towns T1 and T2. Each plant produces 3 drinks A, B and C and their production capacity per day is given in the table.

Cool drinks

Plant at

T1

T2

A

6000

2000

B

1000

2500

C

3000

3000

The marketing department of the company forecasts a demand of 80000 bottles of A, 22000 bottles of B and 40000 bottles of C during the month of June. The operating cost per day of plants at T1 and T2 are Rs. 6000 and Rs. 4000 respectively. Find graphically the number of days for which each plants must be run in June so as to minimize the operating cost while meeting the market demand.

[Ans. Min Z = Rs. 88000, 12 days for the plant T1 and 4 days for plant T2]

 

Solve the following LPP by graphical method

  1. Max Z = 3x1 + 4x2

Subject to

x1 - x2 ≤ -1

-x1+ x2 ≤ 0

x1 ≥ 0 , x2 ≥ 0

[Ans. The problem has no solution]

 

  1. Max Z = 3x1 + 2x2

Subject to

-2x1 + 3x2 ≤ 9

x1- 5x2 ≥ -20

x1 ≥ 0 , x2 ≥ 0

[Ans. The problem has unbounded solution]

 

  1. Max Z = 45x1 + 80x2

Subject to

5x1 + 20x2 ≤ 400

10x1+ 15x2 ≤ 450

x1 ≥ 0 , x2 ≥ 0

[Ans. Max Z = 2200, x1 = 24, x2 = 14]


Related Discussions:- Solve the following lpp by graphical method

LPP, A paper mill produces two grades of paper viz., X and Y. Because of r...

A paper mill produces two grades of paper viz., X and Y. Because of raw material restrictions, it cannot produce more than 400 tons of grade X paper and 300 tons of grade Y paper i

Waiting queques, During busy times, 60 potential customers per hour arrive ...

During busy times, 60 potential customers per hour arrive at the booth (assume a Poisson distribution). A booth worker takes 5 minutes, on average, to meet the information needs of

What is critical defect, Question 1 What is intrinsic quality? Explain key...

Question 1 What is intrinsic quality? Explain key dimensions of a quality product or service Question 2 Explain any five sources of standards Question 3 What is Critical

Models, what is similation model as a type of mathematical models

what is similation model as a type of mathematical models

Simplex, Maximize Z = 2x - 7y subject -2x + 3y = 3 4x + 5y >= 10 6x + 7y 4...

Maximize Z = 2x - 7y subject -2x + 3y = 3 4x + 5y >= 10 6x + 7y 4x + 8y >= 5

Job sequencing problem, on which basis we take value in time out time in co...

on which basis we take value in time out time in column?

ASSIGNMENT PROBLEM, . Explain in brief the phases of Operations Research. 5...

. Explain in brief the phases of Operations Research. 5 +5 = 10 marks (200 - 250 words each) Q3. Solve the following Linear Programming Problem using Simple method. Maximize Z= 3

Linear Programming Problem, A paper mill produces two grades of paper viz. ...

A paper mill produces two grades of paper viz. , X and Y. Because of raw material restrictions, it cannot produce more than 400 tons of grade X paper and 300 tons of grade Y paper

Periodical article - report writing presentation , Periodical Article ...

Periodical Article A periodical is a publication that is  published  periodically like  a newspaper a magazine  and a journal. Usually  periodicals have  volume numbers  and n

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd