Solve Using a System of Two Equations in Two Unknowns

question 1

Multiple Choice

Solve using a system of two equations in two unknowns.
-A chemist needs 100 milliliters of a 70% solution but has only 66% and 86% solutions available. Find how many milliliters of each that should be mixed to get the desired solution.

• A) 90 milliliters of 66%; 30 milliliters of 86%
• B) 90 milliliters of 66%; 20 milliliters of 86%
• C) 80 milliliters of 66%; 20 milliliters of 86%
• D) 20 milliliters of 66%; 80 milliliters of 86%

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Definitions:

Economies of Scale

Refers to the cost advantage that arises with increased output of a product, where the average cost per unit falls as scale of production increases.

Lower-Cost Method

A cost-minimization strategy that involves choosing the most economical options in order to reduce expenses and improve efficiency.

Process Innovation

The implementation of a new or significantly improved production or delivery method.

Total Product Curve

A graph showing the relationship between the quantity of input used and the quantity of output produced.