Select the Region Determined by the Constraints

question 3

Multiple Choice

Select the region determined by the constraints.Then find the minimum value of the objective function (if possible) and where it occurs,subject to the indicated constraints. ​
Objective function:
​
Z = 5x + 6y
​
Constraints:
​
X ≥ 0
Y ≥ 0
X + y ≥ 8
3x + 5y ≥ 30
​

• A) No minimum
• B) Minimum at (10,0): 50
• C) Minimum at (8,0): 49
• D) Minimum at (5,3): 43
• E) Minimum at (0,8): 48

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Definitions:

Fetus

The developing human organism during the period (week 9 until birth) when rapid growth and further development of the structures, organs, and systems of the body occur.

Primary Sex Characteristic

The main biological and physical features inherent in males and females that are directly involved in reproduction, such as ovaries in females and testes in males.

Breasts

Glandular organs located on the chest of human females and other mammals that produce milk to feed young offspring.

Pubic Hair

A type of body hair that grows in the genital area of adolescent and adult humans.