An Airport Is Located Next to a Housing Development

question 13

Multiple Choice

An airport is located next to a housing development.Where X is the number of planes that land per day and Y is the number of houses in the housing development, profits of the airport are 26X - X² and profits of the developer are 22Y - Y² - XY.Let H₁ be the number of houses built if a single profit-maximizing company owns the airport and the housing development.Let H₂ be the number of houses built if the airport and the housing development are operated independently and the airport has to pay the developer the total "damages" XY done by the planes to the profits of the developer.

• A)H₁ = 11 and H₂ = 6.
• B)H₁ = H₂ = 6.
• C)H₁ = 8 and H₂ = 10.
• D)H₁ = 6 and H₂ = 11.
• E)H₁ = 10 and H₂ = 14.

---

Definitions:

Inequality

A mathematical statement that describes the relationship between two values or expressions that are not equal.

Dietician

A healthcare professional specializing in diet and nutrition, helping to promote healthy eating habits and manage dietary concerns.

Calcium

A chemical element with the symbol Ca, an essential nutrient for living organisms, particularly in bone formation.

Solution

The result of solving a problem or equation, often denoting a value or set of values that satisfy the given mathematical conditions.