Select the Region Determined by the Constraints

question 202

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:

Axilla

The underarm area, armpit.

Underarm Pad

A piece of material used to absorb sweat and prevent stains in the armpit area, often adhered to clothing or directly applied.

Crutches

Mobility aids used to transfer weight from the legs to the upper body during walking or standing.

Body Mechanics

The use of appropriate body positioning when moving and lifting objects to avoid injury.