Answering lp problems, Operation Research

Assignment Help:

ABC Company manufactures both interior and exterior paints from 2 raw materials M1 and M2. The following table gives basic data of problem.

 

 

Exterior paint

Interior paint

Availability

N1

6

4

24

N2

1

2

6

Profit per ton

5

4

 

A market survey signifies that every day demand for interior paint cannot surpass that for exterior paint by more than 1 ton. Also maximum routine demand for interior paint is 2 tons. Develop LPP to find out the top product mix of interior and exterior paints that maximizes the daily total gain (profit).

Answer

Assume

 x1 - number of units of exterior paint

      x2 - number of units of interior paint

 

Maximize Z = 5x1 + 4x2         

Subject to

6x1 + 4x2 ≤ 24

x1 + 2x2 ≤ 6

x2 - x1≤ 1

x2≤ 2

                 x1≥0, x2 ≥0

 

b) The highest routine demand for exterior paint is almost 2.5 tons

                 x1≤ 2.5

c) Routine demand for interior paint is as a minimum 2 tons

                 x2 ≥ 2

d) Routine demand for interior paint is accurately 1 ton more than that for exterior paint.

                 x2 > x1 + 1

 

 

 


Related Discussions:- Answering lp problems

Lcm, one example

one example

Determine the weekly demand and lead time, Family Application specialises i...

Family Application specialises in selling major appliances for use in kitchen remodelling.  One of its more popular items is the SubZero refrigerator.  Over the past 40 weeks, the

Queuing theory, A certain type of machine breaks down at an average rate of...

A certain type of machine breaks down at an average rate of 5/hour. the break down is in accordance with Poisson process.cost of idle machine hour is $15/hour. 2 repairmen Peter an

Inventory Control Model, 1. A local university purchases exercise books to ...

1. A local university purchases exercise books to give to their students. Instead of a fixed unit cost, their supplier quotes the following discount pricing: Order quantity Unit P

Simo chart flow diagram , SIMO Chart Flow Diagram The  flow  diagram  ...

SIMO Chart Flow Diagram The  flow  diagram  is a drawing  indicating  the paths  of men  materials  or components on a scale  plan of  the work  area, department or  factory.

Strategies and od intervention techniques, QUESTION 1 Change strategies...

QUESTION 1 Change strategies and OD intervention techniques follow from diagnosis. An inappropriate intervention due to a faulty diagnosis may be very costly to an organization

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

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

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