Develop a linear program, Mathematics

Assignment Help:

The production manager of Koulder Refrigerators must decide how many refrigerators to produce in each of the next four months to meet demand at the lowest overall cost. There is a limited capacity in each month although this will increase in month 3.  Due to a new contract, costs are expected to increase.  The relevant information is provided in the table below.

Month

Capacity

Demand

Cost of production

1

140

110

$80 per unit

2

140

150

$85 per unit

3

160

130

$90 per unit

4

160

140

$95 per unit

Each item that is left at the end of the month and carried over to the next month incurs a carrying cost equal to 10% of the unit cost in that month (e.g. anything left in inventory at the end of month one incurs an $8 cost). Management wants to have at least 30 units left at the end of month four to meet any unexpected demand at that time. A linear program has been developed to help with this. However, this may or may not be totally correct. You should verify that it is the correct formulation before solving the problem. If it is not correct, make any necessary changes to the linear program before solving it on the computer.

X1 = number of units produced in month 1;  X2 = number of units produced in month 2; 

X3 = number of units produced in month 3; X4 = number of units produced in month 4;

N1 = number of units left at end of month 1; N2 = number of units left at end of month 2;

N3 = number of units left at end of month 3; N4 = number of units left at end of month 4

Minimize cost = 80X1 + 85X2 + 90X3 + 95X4+ 8N1 + 8.5N2 + 9N3+ 9.5N34

X1< 140

X2< 140

X3< 160

X4< 160

X1 = 110 + N1

X2 + N1 = 150 + N2

X3 + N2 = 130 + N3

X4 + N3 = 140 + N4

N4>30

All variables > 0


Related Discussions:- Develop a linear program

Cartesian graph of density of water - temperature, Cartesian Graph of Densi...

Cartesian Graph of Density of Water - Temperature: Example:  The  density  of  water  was  measured  over  a  range  of  temperatures.   Plot the subsequent recorded data on

What are the three sides of a right triangle, What are the Three Sides of a...

What are the Three Sides of a Right Triangle? Each side of a right triangle can be labeled opposite, adjacent, or hypotenuse, based on its relationship to the right angle and o

What is 2^5, What is 2 5 ? 2 5 = 2 ×2 ×2 ×2 ×2 = 32

What is 2 5 ? 2 5 = 2 ×2 ×2 ×2 ×2 = 32

Variation of parameters, In the previous section we looked at the method of...

In the previous section we looked at the method of undetermined coefficients for getting a particular solution to p (t) y′′ + q (t) y′ + r (t) y = g (t)    .....................

Define a hamilton path, Define a Hamilton path. Determine if the following ...

Define a Hamilton path. Determine if the following graph has a Hamilton circuit. Ans: A path is known as a Hamiltonian path if it consists of every vertex of the graph e

Mensuration, if area of a rectangle is 27 sqmtr and it perimeter is 24 m fi...

if area of a rectangle is 27 sqmtr and it perimeter is 24 m find the length and breath#

Find out a if f(x) is continuous at x = -2 , Example   Given the graph of ...

Example   Given the graph of f(x), illustrated below, find out if f(x) is continuous at x = -2 , x = 0 , and x = 3 . Solution To give answer of the question for each

Interpretation of the second derivative, Interpretation of the second deriv...

Interpretation of the second derivative : Now that we've discover some higher order derivatives we have to probably talk regarding an interpretation of the second derivative. I

What is angle pairs in parallel lines, What is Angle Pairs in Parallel Line...

What is Angle Pairs in Parallel Lines ? Next, we introduce several angle pairs formed by transversals which are very important in our study of geometry. Alternate interior an

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