I need help with the linear programming equations, I only need the ones marked wrong. Please show me your work and explain how to solve it. (ii) linear programming formulationLet Xijnumber of units i shipped to client j, using the indices from the given table. (It may be necessary to combine plants or distributors in a single node in order to solve this problem.Use index number 5 for this type of node. Enter "DNE" in any unused answer blanks.)Max 32x11 +34x12 + 32x13 +40x14+34x21 +30x22 +28x23 +38x24s.t.=Orders from Clifton SpringsOrders from DanvilleOrders from/for Dummy NodeOrders for D₁Orders for D2Orders for D3Orders for D4Xij≥ 0 for all i, j.1x11 + 1x12 + 1x13 + 1x14 ≤ 50001x21 + 1x22 + 1x23 + 1x24 ≤ 3000<x31+x322000+*33x33 + x34= 4000*12 +*22 ≤5000 01x13 + 1x23 + 1x33 = 300014+*24 ≤2000!! Klein Chemicals, Inc., produces a special oil-based material that is currently in short supply. Four of Klein's customers have already placed orders that together exceed the combined capacity of Klein'stwo plants. Klein's management faces the problem of deciding how many units it should supply to each customer. Because the four customers are in different industries, different prices can be chargedbecause of the various industry pricing structures. However, slightly different production costs at the two plants and varying transportation costs between the plants and customers make a "sell to thehighest bidder" strategy unacceptable. After considering price, production costs, and transportation costs, Klein established the following profit per unit for each plant-customer alternative.PlantClifton SpringsDanvillePlantClifton Springs2Danville1$32D₂Customer$34$34 $30The plant capacities and customer orders are as follows.Capacity (units)5,0003,000$32$2834$40$384Distributor Orders (units)D₁D₂D3D42,0005,0003,0002,000(a) Develop a network model and a linear programming formulation of this problem.

The main objective is to formulate the supply demand problem into linear programming problem.

) linear programming formulation Let x = number of units i shipped to client j, using the indices from the given table. (It may be necessary to combine plants or distributors in a single node in order to solve this problem. Use index number 5 for this type of node. Enter "DNE" in any unused answer blanks.) 32x11 +34x12 +32x13 + 40x14 +34x21 +30x22 +28x23 +38x24 Max s.t. Orders from Clifton Springs Orders from Danville Orders from/for Dummy Node Orders for D₁ Orders for D₂ Orders for D3 Orders for D4 xij≥0 for all i, j. 1x11 + 1x12 1x21 + 1x22 x31 + 2000 + 1x13 + 1x14 ≤ 5000 + 1x23 + 1x24 ≤ 3000 *32 +*33 +*34 = 4000 *12+x22 ≤5000 X 1x13 + 1x23 + 1x33 = 3000 14+*24≤2000 X

) linear programming formulation Let x = number of units i shipped to client j, using the indices from the given table. (It may be necessary to combine plants or distributors in a single node in order to solve this problem. Use index number 5 for this type of node. Enter "DNE" in any unused answer blanks.) 32x11 +34x12 +32x13 + 40x14 +34x21 +30x22 +28x23 +38x24 Max s.t. Orders from Clifton Springs Orders from Danville Orders from/for Dummy Node Orders for D₁ Orders for D₂ Orders for D3 Orders for D4 xij≥0 for all i, j. 1x11 + 1x12 1x21 + 1x22 x31 + 2000 + 1x13 + 1x14 ≤ 5000 + 1x23 + 1x24 ≤ 3000 32 +33 +34 = 4000 12+x22 ≤5000 X 1x13 + 1x23 + 1x33 = 3000 14+*24≤2000 X

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Q: 18.프-=0 x-1 0 =

A: x-1x-xx-1= 0 So, (x-1)2-x2(x)(x-1)= 0

Q: Suppose your friend Bob creates a YouTube video that explains how to formulate a problem as an…

Q: how do i solve this question by graphing ? is it consistent or inconsistent ? how many solutions…

Q: 5) Maximizing Revenue You are the marketing manager for LTCC Ski Area, from the previous experience,…

A: The question mentions that the manager can sell 3000 lift tickets when the price is set at $40. Now,…

Q: United Metal, Inc., produces alloys B1 (special brass) and B2 (yellow tombac). B1 contains 50%…

A: We have to find the maximum net profit using the simplex method.

Q: Tyler decided to open a bakery because everyone he knew told him that his baked goods were “out of…

Q: Compute the work done by the force field F =< x² + 2y, 4x + y° where C is the boundary of the region…

Q: Az = 6, where A 1 (A) Yes b = Is this system consistent? (B) No H [2] (C) Not enough information to…

A: A consistent system of equations has atleast one solution.

Q: A hospital dietitian will prepare a corn and pumpkin dish that provides at least 3 grams of protein…

A: As you asked multiple questions so according to the rule I solved the first one only, please repost…

Q: 3. The following Linear program is already in proper form. Clearly translate it to standard form.…

A: For convenience we take x=x_1, y=x_2 and z=x_3.

Q: he offers two products, turntables and cassette players. makes a profit of P300.00 on each…

A: Given that Garry Mornes assembles stereo equipment for sale in his shop he offers two products,…

Q: Find one point that is not a solution to the following system of inequalities: x − 6y ≥ 6 x − y ≤ 4…

A: The given inequalities are: x − 6y ≥ 6 x − y ≤ 4 y ≥ −7

Q: Solve system of linear algebraic equations 35 0 17 2 A -1 34 0 -19 27 0 8 0-16 0 b 10 6 23 17 10 by…

A: Given system Ab35200010-417-2006026-102300-1634817000-192710

Q: 1 of 8 Automatic Zoom 2. MiKayla has $30 in a cafeteria account. She spends $3 each day for lunch.…

Q: Consider the system 6x + 3y = 21 and y=-2x + 7. Will this system have one solution, no solutions or…

A: Given :6x+3y=21 y=-2x+7

Q: čity? 6. In 2019, U.S. exports to Canada were $39.4 billion more than exports to Mexico. Together,…

Q: The perimeter of a rectangular flower garden is 21 feet. This garden is to be built on the side of a…

A: Given the perimeter of a rectangular flower garden as 21 feet.

Q: You are a young adventurer. Having spent most of your time in the leave home for the first time.…

A: Here, in the question, we are given a situation of a young traveler like me who had spent most of…

Q: Solve this problem using the simplex method. Super Speedy Bike Company makes 3-speed and 10-speed…

A: Let, Number of days factory X will work to fill the order=x. Number of days factory Y will work to…

Q: Use the method of linear programming to solve the problem. Compucraft sells personal computers and…

Q: j. Give the profit equation k. Test each vertex in the profit equation. 1. Write a statement…

Question

I need help with the linear programming equations, I only need the ones marked wrong. Please show me your work and explain how to solve it.

(ii) linear programming formulation
Let Xij
number of units i shipped to client j, using the indices from the given table. (It may be necessary to combine plants or distributors in a single node in order to solve this problem.
Use index number 5 for this type of node. Enter "DNE" in any unused answer blanks.)
Max 32x11 +34x12 + 32x13 +40x14+34x21 +30x22 +28x23 +38x24
s.t.
=
Orders from Clifton Springs
Orders from Danville
Orders from/for Dummy Node
Orders for D₁
Orders for D2
Orders for D3
Orders for D4
Xij
≥ 0 for all i, j.
1x11 + 1x12 + 1x13 + 1x14 ≤ 5000
1x21 + 1x22 + 1x23 + 1x24 ≤ 3000
<
x31+x32
2000
+*33
x33 + x34
= 4000
*12 +*22 ≤5000 0
1x13 + 1x23 + 1x33 = 3000
14+*24 ≤2000
!
!

Klein Chemicals, Inc., produces a special oil-based material that is currently in short supply. Four of Klein's customers have already placed orders that together exceed the combined capacity of Klein's
two plants. Klein's management faces the problem of deciding how many units it should supply to each customer. Because the four customers are in different industries, different prices can be charged
because of the various industry pricing structures. However, slightly different production costs at the two plants and varying transportation costs between the plants and customers make a "sell to the
highest bidder" strategy unacceptable. After considering price, production costs, and transportation costs, Klein established the following profit per unit for each plant-customer alternative.
Plant
Clifton Springs
Danville
Plant
Clifton Springs
2
Danville
1
$32
D₂
Customer
$34
$34 $30
The plant capacities and customer orders are as follows.
Capacity (units)
5,000
3,000
$32
$28
3
4
$40
$38
4
Distributor Orders (units)
D₁
D₂
D3
D4
2,000
5,000
3,000
2,000
(a) Develop a network model and a linear programming formulation of this problem.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

What is the fundamental concept underlying Sequential Quadratic Programming, how is it utilised, and in what context for planning with dynamics does it find its most common use, and why?
Please solve the problem max 30-40 minutes with the step thank u 1. The sales manager of an insurance company told his newly hired salesman that about 30 percent of the people who inquire about life insurance policies actually buy such a policy, and 70 percent do not. According to the records of the company, 40 percent of the people who bought life insurance had an annual income between $10,000 and $30,000 while only 20 percent of those who did not buy life insurance had the same level of income. One person who inquired about insurance had an income of $15,000. What is the probability that this man will buy an insurance policy? What is the probability that a person who has an income of $.50,000 will buy an insurance policy?
Please answer last 3 parts
You know you have 5 pairs of sock in the laundry basket. You want a pair of matched socks but can’t see any socks. You reach into the basket and pull out socks. What’s the maximum of number of socks that you will have to pull out in order to guarantee that you will get a matching pair of socks?
Good Evening, Can you please come up with a math problem following the guidelines? i appreciate your time!!
Does the average person really need to deal with the complexities of dynamic programming?
A tortoise and hare are competing in a 400-meter race. The arrogant hare gives the tortoise a 220-meter head start. When the start gun is fired, the hare begins running at a constant speed of 3.5 meters per second and the tortoise begins crawling at constant speed of 1.5 meters per second. Take out a piece of paper and read the above problem context again. You will prepare your written work and solutions on your own paper and upload it and the end of this question. Complete the problem solving process by: i. reading and re-reading the problem to identify the quantities in the situation; ii. making a drawing to represent the relevant quantities in the situation; iii. and defining the variable t to represent the number of seconds since the start of the race. a. Define a function f to determine the distance of the tortoise from the finish line in terms of the number of seconds, t, since the start of the race. Preview Solve f(t) = 0 and describe what your solution represents. t = Preview…
Write a system of equations that models the problem's conditions. Because Grandma has $50,000 to invest, The amount the amount invested at 15% plas invested at 7% equals $50,000. y 50,000 Furthermore, Grandma requires $6000 in total interest. We can use a table to organize the information in the problem and obtain a second equation.
I Need help on this