Setup a network flow for problem using nodes

Reference no: EM13123612

Setup a network Flow for this Problem using nodes and links but do not solve for optimal solution

A manufacturer must produce a certain product in sufficient quantity to meet contracted sales in the next four months. The production facilities available for this product are limited, but by different amounts in the respective months. The unit cost of production also varies according to the facilities and personnel available. The product can be produced in one month and then held for sale in a later month, but at an estimated storage cost of $1 per unit per month. No storage cost is incurred for goods sold in the same month in which they are produced. There is presently no inventory of this product, and none is desired at the end of the four months. Pertinent data are given in the table below.

Month.....Contracted Sales.....Max Production.....Unit Cost of Production.....Unit Storage Cost Per Month
1.................20................................40.............................14............................................1
2.................30................................50.............................16............................................1
3.................50................................30.............................15............................................1
4.................40................................50.............................17............................................1

The approach is to create a node for each month, plus a supply node from which the production comes, and a demand node which receives the contracted sales. Lower, upper bounds and cost should be given to each link. An artificial back link from the demand node to the supply node is needed for a fully circulating network. Links connecting the nodes for each month represent carryover inventory.

Reference no: EM13123612

Questions Cloud

Variable overhead spending variance : The following standards for variable manufacturing overhead have been established for a company that makes only one product:

Discuss how monetary policy works : Discuss how monetary policy works to help achieve economic goals and discuss how national economies interact with each other to achieve their individual economic goals. (This is a question about foreign trade

How much can she deduct : Although her records of the expenses incurred in the breeding activity are spotty, she can establish that in year 10 she spent $1,000 on transportation and lodging to attend cat shows, $400 on cat food, $700 on veterinary expenses, and $300 on gro..

Fixed-point iteration with relative errors : Please show each step of your solution and tell me the theorems, definitions, etc. if you use any. Find the errors E_ k and relative errors R_k for the values p1 in parts b) and c).

Setup a network flow for problem using nodes : Setup a network Flow for this Problem using nodes and links but do not solve for optimal solution, A manufacturer must produce a certain product in sufficient quantity to meet contracted sales in the next four months

What mass of hclo4 should be present : What mass of HClO4 should be present in 0.600 L of solution to obtain a solution with a pH of 2.50?

What is the partial pressure of n2 : A mixture of gases containing 21.0 g of N2, 106.5 g of Cl2, and 12.0 g of He at 14 oC is in a 50.0 L container. What is the partial pressure of N2?

Write about the long-term system : Write about the long-term system. What is it? How does it work? Who pays for it? Who gets insurance? As much as you can.

Question about equilibrium point : At a price of $1.90 per bushel, the annual U.S. supply and demand for barley are 410 million bushels and 455 million bushels, respectively. When the price rises to $2.70 per bushel

User Account

All Pages