Development of lp problems, Operation Research

Assignment Help:

A company manufactures 2 kinds of hats. Each hat of the I type needs twice as much as labour time as the II type. The company can manufacture a sum of 500 hats a day. The market restricts daily sales of I and II types to 150 and 250 hats. Supposing that the gain per hat is Rs.8 for type A and Rs. 5 for type B. Develop LPP models so as to find out the number of hats to be manufactured of each type so as to maximize the gain (profit).

Answer

Assume x1 - number of hats produced by type A

Assume x2 - number of hats produced by type B

 

Maximize Z = 8x1 + 5x2

Subject to

2x1 + x2 ≤ 500 (labour time)

                        x1 ≤ 150

                        x2 ≤ 250

                 x1≥0, x2 ≥0

 

 


Related Discussions:- Development of lp problems

Game theory , 3 In a rectangular game, pay-off matrix of player A is as f...

3 In a rectangular game, pay-off matrix of player A is as follows:

Optimization , A company uses 4 pounds of resource 1 to make each unit of X...

A company uses 4 pounds of resource 1 to make each unit of X1 and 3 pounds of resource 1 to make each unit of X2. There are only 150 pounds of resource 1 available. Which of the fo

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

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

I need answer for the below question, A paper mill produces two grades of p...

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

Simplex solution, difference between simplex solution procedure for maximis...

difference between simplex solution procedure for maximisation and minimisation

Solve the following lpp by graphical method, A company manufactures two typ...

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

Properties of normal distribution - probability distribution, Properties of...

Properties of Normal Distribution a.It is a continuous  probability  distribution having  parameters m and . b.The normal  curve is perfectly symmetrical about  the mean (

A paper mill produces, . A paper mill produces two grades of paper viz., X ...

. 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

Linear programming , Solve the following Linear Programming Problem using S...

Solve the following Linear Programming Problem using Simple method. Maximize Z= 3x1 + 2X2 Subject to the constraints: X1+ X2 = 4 X1 - X2 = 2 X1, X2 = 0

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