Two kinds of crated cargo, A and B, are to be shipped by truck. The weight and volume of one crate of each are given in the table below: A 40 cubic feet 160 pounds Volume Weight B 20 cubic feet 320 pounds The shipping company charges $100 per crate for cargo A and $150 per crate for cargo B. The truck has a maximum load limit of 6,400 pounds and 1000 cubic feet. How many crates of each type of cargo should be shipped in order to maximize revenue? Write the objective function that is to be maximized. Finish writing the system of inequalities that serve as the constraints for this problem. (Hint: You'll need two more inequalities.) (. itel x20 y 20

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Two kinds of crated cargo, A and B, are to be shipped by truck. The weight and volume of one crate
of each are given in the table below:
A
40 cubic feet
160 pounds
Volume
Weight
B
20 cubic feet
320 pounds
The shipping company charges $100 per crate for cargo A and $150 per crate for cargo B. The truck
has a maximum load limit of 6,400 pounds and 1000 cubic feet. How many crates of each type of
cargo should be shipped in order to maximize revenue?
a) Write the objective function that is to be maximized. -
b) Finish writing the system of inequalities that serve as the constraints for this problem. (Hint: You'll
need two more inequalities.) (.
x 20
y20
i+c)
Transcribed Image Text:Two kinds of crated cargo, A and B, are to be shipped by truck. The weight and volume of one crate of each are given in the table below: A 40 cubic feet 160 pounds Volume Weight B 20 cubic feet 320 pounds The shipping company charges $100 per crate for cargo A and $150 per crate for cargo B. The truck has a maximum load limit of 6,400 pounds and 1000 cubic feet. How many crates of each type of cargo should be shipped in order to maximize revenue? a) Write the objective function that is to be maximized. - b) Finish writing the system of inequalities that serve as the constraints for this problem. (Hint: You'll need two more inequalities.) (. x 20 y20 i+c)
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