Explain Why the Following Problem Does Not Give Enough Information

question 83

Multiple Choice

Explain why the following problem does not give enough information to answer the question. The sum of three integers is 48. If the second integer is doubled, the sum is 63. Find the integers.

• A) To solve a system of three unknowns, you need two equations. One can only derive one equation from the given information.
• B) Doubling the second integer would always result in a sum greater than 63.
• C) The parameters given cannot be met -- the equations derived from the first sentence and from the second sentence form an inconsistent system.
• D) The parameters given cannot be met by integers -- only rational numbers could be the correct solution to the system of equations derived from this problem.
• E) To solve a system of three unknowns, you need three equations. One can only derive two equations from the given information.

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Definitions:

Indistinguishable

Incapable of being identified as different or distinct, often used in contexts where two or more items appear exactly alike.

MR

In economics, Marginal Revenue, referring to the increase in revenue that results from the sale of one additional unit of output.

MC

This stands for Marginal Cost, which is the cost of producing one additional unit of a product.

Maximizing Profits

The process of adjusting production and operational strategies to achieve the highest possible profit from business activities.