1. ## Linear programming problem.

A trucking ﬁrm ships containers of two companies, A and B. Each container from
company A weighs 20 pounds and is 1 cubic foot in volume. Each container from company B weighs 30 pounds and is 3 cubic feet in volume. The trucking ﬁrm charges company A $1.50 for each container shipped, and charges company B$2.50 for each container shipped. The trucking company is obliged to load at least 250 containers from company A on each of its trucks, and each truck can carry no more than 21,000 pounds in weight and no more than 1500 cubic feet in volume.
How many containers from companies A and B should a truck carry to maximize its revenue from shipping charges?
Write down a mathematical model for the problem in the form of a linear program
in standard form?

So far Ive got: Let X1= # of containers from !, X2=# of containers from B

LP:maximize p=1.5(X1)+2.5(X2)
subject to: 20(X1)+30(X2) ≤ 21000
X1+3(X2) ≤ 1500
X1≥250
X1,X2≥0
I am just wondering If I have set everything up correctly?

2. ## Re: Linear programming problem.

Originally Posted by farmeruser1
A trucking ﬁrm ships containers of two companies, A and B. Each container from
company A weighs 20 pounds and is 1 cubic foot in volume. Each container from company B weighs 30 pounds and is 3 cubic feet in volume. The trucking ﬁrm charges company A $1.50 for each container shipped, and charges company B$2.50 for each container shipped. The trucking company is obliged to load at least 250 containers from company A on each of its trucks, and each truck can carry no more than 21,000 pounds in weight and no more than 1500 cubic feet in volume.
How many containers from companies A and B should a truck carry to maximize its revenue from shipping charges?
Write down a mathematical model for the problem in the form of a linear program
in standard form?

So far Ive got: Let X1= # of containers from !, X2=# of containers from B

LP:maximize p=1.5(X1)+2.5(X2)
subject to: 20(X1)+30(X2) ≤ 21000
X1+3(X2) ≤ 1500
X1≥250
X1,X2≥0
I am just wondering If I have set everything up correctly? yes
...