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:

Strong-form Efficient

A theory suggesting that all information, public and private, is fully reflected in stock prices, and that it is impossible to consistently achieve higher returns.

Semistrong-form Efficient

Refers to a market efficiency form where prices include all publicly available information, including both historical and newly released financial data.

Weak-form Efficient

A level of market efficiency that assumes all past trading information is already reflected in stock prices, thus negating the ability to gain higher returns through analysis of historical prices.

Survivorship Bias

Survivorship bias is the logical error of concentrating on the entities or people that made it past some selection process and overlooking those that did not, often leading to false conclusions.