Use Linear Programming to Solve Problems
-Two Kinds of Crated $A$

question 176

Multiple Choice

Use Linear Programming to Solve Problems
-Two kinds of crated cargo, $A$ and $B$ , are to be shipped by truck. The weight and volume of each type are given in the following table:


The shipping company charges $\$ 75$ per crate for cargo $\mathrm { A }$ and $\$ 100$ per crate for cargo $\mathrm { B }$ . The truck has a maximum load limit of 7,200 pounds and 1,000 cubic feet. How many of each type of cargo should be shipped to maximize profit for the shipping company?

• A) 18 crates of cargo A and 10 crates of cargo B
• B) 20 crates of cargo \(\mathrm { A }\) and 0 crates of cargo \(\mathrm { B }\)
• C) 0 crates of cargo \(\mathrm { A }\) and 20 crates of cargo \(\mathrm { B }\)
• D) 10 crates of cargo \(A\) and 18 crates of cargo \(B\)

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Definitions:

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Storage Granules

Intracellular particles, often found in bacteria and cells, that store nutrients like phosphorus or carbohydrates.

Fimbriae

Short, hair-like structures on the surface of some bacteria that help in attachment to host tissues and in the transfer of genetic material.

Electron Microscope

A microscope capable of producing high-resolution, highly magnified images through the use of an electron beam (rather than light). Transmission electron microscopes (TEMs) produce images of thin sections; scanning electron microscopes (SEMs) produce images of surfaces.