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:

Credit Sales

Sales made by a business for which payment will be made at a later date, as opposed to immediate cash sales.

Confidence Interval

A confidence interval is a range of values, derived from sample statistics, that is likely to contain the value of an unknown population parameter.

Standard Deviation

A statistical measure of the dispersion or spread of data points in a data set, indicating how much the individual data points differ from the mean.

Population Mean

The average of a set of characteristics or numbers in the entire population.