Find the Absolute Minimum Value of the Function $$f ( x , y ) = 6 + 3 x y - 2 x - 4 y$$

question 1

Multiple Choice

Find the absolute minimum value of the function
$$f ( x , y ) = 6 + 3 x y - 2 x - 4 y$$
on the set $D . D$ is the region bounded by the parabola $y = x ^ { 2 }$ and the line $y = 4$
Select the correct answer.

• A) \(- 31\)
• B) \(- 30\)
• C) 30
• D) \(- 32\)
• E) 0

---

Definitions:

Twentieth Century

The era spanning from January 1, 1901, to December 31, 2000, marked by significant technological, social, and political changes.

Agricultural Technologies

Innovations and technologies developed to improve efficiency, productivity, and sustainability in agriculture.

Productivity Per Acre

The measure of output (such as crops) produced per acre of land.

Farmland

Land used for farming purposes to grow crops and rear animals, constituting a primary resource for agricultural activities and food production.