Solve the Problem $x ^ { 2 } = 26.4 y$

question 75

Multiple Choice

Solve the problem.
-A 20-in. satellite dish for a television has parabolic cross sections. A coordinate system is chosen so that the vertex of a cross section through the center of the dish is located at (0, 0) . The equation of
The parabola is modeled by $x ^ { 2 } = 26.4 y$ where x and y are measured in inches. Where should the
Receiver be placed to maximize signal strength? That is, where is the focus?

• A) Focus: (0, 6.4); Place the receiver 6.4 in. above the center of the dish.
• B) Focus: (0, 6.6); Place the receiver 6.6 in. above the center of the dish.
• C) Focus: (0, 13.2); Place the receiver 13.2 in. above the center of the dish.
• D) Focus: (0, 12.8); Place the receiver 12.8 in. above the center of the dish.

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Definitions:

Purely Competitive

A market structure characterized by many sellers offering identical products, leading to no single seller influencing the market price.

Market Price

The present cost at which a service or asset is available for purchase or sale in a specific market.

Decreasing-Cost Industry

An industry where production costs decrease as the industry grows, often due to economies of scale.

Long-Run Equilibrium

A state in which all factors of production and costs are variable, allowing firms to make adjustments such that supply equals demand, and no economic profits are earned.