Write a System of Inequalities Whose Solution Set Is the Region

question 177

Multiple Choice

Write a system of inequalities whose solution set is the region shown.
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• A) \(x \geq 0 , y \geq 0 , y \geq \frac { 1 } { 2 } x + 7 , y \geq \frac { 5 } { 2 } x + 15\)
• B) \(x \geq 0 , y \geq 0 , y \geq - \frac { 1 } { 2 } x + 7 , y \geq - \frac { 5 } { 2 } x + 6\)
• C) \(x \geq 0 , y \geq 0 , y \leq - \frac { 1 } { 2 } x + 7 , y \leq - \frac { 5 } { 2 } x + 6\)
• D) \(x \geq 0 , y \geq 0 , y \geq - \frac { 1 } { 2 } x + 7 , y \geq - \frac { 5 } { 2 } x + 15\)

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Definitions:

Production Possibilities Frontier

A graphical depiction that shows the maximum quantity of one good that can be produced for every possible quantity of another good, given the available resources and technology.

Burrito

A type of Mexican street food consisting of a wheat flour tortilla wrapped or folded into a cylindrical shape to enclose fillings.

Production Possibilities Frontier

A schematic that illustrates all top production scenarios for two separate commodities, considering a range of inputs that covers resources and other contributing factors.

Taco

A traditional Mexican dish consisting of a corn or wheat tortilla folded or rolled around a filling such as beef, pork, chicken, seafood, vegetables, and cheese.