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

Limit, limit x APProaches infinity (1+1/x)x=e

limit x APProaches infinity (1+1/x)x=e

What is the cost per ounce of detergent, A 64-ounce bottle of detergent cos...

A 64-ounce bottle of detergent costs $3.20. What is the cost per ounce of detergent? To ?nd out the cost per ounce, divide the cost through the number of ounces; $3.20 ÷ 64 =

Statistics, The winning team''s score in 21 high school basketball games wa...

The winning team''s score in 21 high school basketball games was recorded. If the sample mean is 54.3 points and the sample standard deviation is 11.0 points, find the 90% confiden

Explain angle theorems, Explain Angle Theorems ? Certain angles and an...

Explain Angle Theorems ? Certain angles and angle pairs have special characteristics: Vertical angles are opposite angles formed by the intersection of two lines. Vertical ang

Scalar multiplication - vector arithmetic, Scalar Multiplication - Vector a...

Scalar Multiplication - Vector arithmetic Another arithmetic operation that we wish to look at is scalar multiplication. Specified the vector a → = (a 1 , a 2 , a 3 ) and any

Statistics., the mean and standarddeviation of set a is -x ans s respective...

the mean and standarddeviation of set a is -x ans s respectively.find the mean and standard deviation of set b

What does required to earn on his further science test in 93, Justin earned...

Justin earned scores of 85, 92, and 95 on his science tests. What does he required to earn on his further science test to have an average (arithmetic mean) of 93%? To earn an a

Fractions, kim had 1/2 an orange. she gave Linda 1/4 of this. What fraction...

kim had 1/2 an orange. she gave Linda 1/4 of this. What fraction of the whole orange did Linda get?

Physical fitness association, Physical fitness association 1 mile run. It i...

Physical fitness association 1 mile run. It is known to have a normal distribution, mean 450 sec. SD 50 sec. How many in the top 10% fastest runners? Need to know what time they ha

Four-step plan, Adison earned $25 mowing her neighbor''s lawn. Then she loa...

Adison earned $25 mowing her neighbor''s lawn. Then she loaned her friend $18, and got $50 from her grandmother for her birthday. She now has $86. How much money did Adison have to

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