What Combination of a and B Will Yield the Optimum

question 28

Multiple Choice

What combination of a and b will yield the optimum for this problem?
Maximize $6a + $15b, subject to (1) 4a + 2b < 12 and (2) 5a + 2b < 20 and (3) a, b ≥ 0.

• A) a = 0, b = 0
• B) a = 3, b = 3
• C) a = 0, b = 6
• D) a = 6, b = 0
• E) cannot solve without values for a and b

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Definitions:

Actualizing Tendency

An innate drive in living organisms to develop all their capacities in ways which serve to maintain or enhance themselves.

Positive Regard

The acceptance, love, and support one receives from others, often seen as crucial for self-esteem and psychological growth.

Deprivation Need

A concept in psychology referring to the absence of essential psychological or physical needs which can lead to negative outcomes.

Maslow

Pertains to Abraham Maslow, an American psychologist known for creating Maslow's hierarchy of needs, a theory of psychological health predicated on fulfilling innate human needs.