Solve the Problem Below by Setting Up and Solving a System

question 178

Multiple Choice

Solve the problem below by setting up and solving a system of two linear equations in two variables. A 14% salt solution is to be mixed with a 18% salt solution to produce 10 gallons of a 16.8% salt solution. How many gallons of the 14% solution and how many gallons of the 18% solution will be needed?

• A) 7 gallons of 14% and 11 gallons of 18%
• B) 5 gallons of 14% and 9 gallons of 18%
• C) 14 gallons of 14% and 18 gallons of 18%
• D) 3 gallons of 14% and 7 gallons of 18%
• E) 16 gallons of 14% and 20 gallons of 18%

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Definitions:

Marginal Product

The additional output resulting from the use of one more unit of a production factor.

Unit Of Labor

A measurement of work or effort by labor forces, often referred to in terms of hours worked or the number of workers.

Total Product Curve

A graphical representation in economics that shows the total quantity of output produced by a firm for varying quantities of a single input.

Variable Input

Inputs or resources whose usage varies with the level of production output, such as raw materials or labor.