Problem 6-06
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:
How many units should each plant produce for each customer in order to maximize profits? Which customer demands will not be met? Show your network model and linear programming formulation.
Note: Dummy origin has supply of 4000.
Firstly we apply vogel approximation... Firstly we convert this maximize profit problem into min problem ..
This is not optimal , so we MODi method for optimaliyy...
Klein Chemicals, Inc., produces a special oil-based material that is currently in short supply
The last questions choices are customer 1,customer 2, customer
3, customer 4 demand has a shortfall
of 2000,4000,6000,8000,10000
customer 1, customer 2, customer 3, customer 4 demand of
2000,4000,6000,8000,10000
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...
please help! thank you!!
(sorry for so many pictures. this is the only way i could take
them without them being blurry)
Problem 6-06 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,...
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Brunswick Parts is a small manufacturing firm located in eastern
Canada. The company, founded in 1947, produces metal parts for many
of the larger manufacturing firms located in both Canada and the
United States. It prides itself on high quality and customer
service, and many of its customers have been buying at least some
of their parts from Brunswick since the 1950s.
Production of the parts takes place in one of two plants. The
older plant, located in Fredericton, was...
Brunswick Parts is a small manufacturing firm located in eastern
Canada. The company, founded in 1947, produces metal parts for many
of the larger manufacturing firms located in both Canada and the
United States. It prides itself on high quality and customer
service, and many of its customers have been buying at least some
of their parts from Brunswick since the 1950s.
Production of the parts takes place in one of two plants. The
older plant, located in Fredericton, was...