Find the Maximum Value of the Objective Function and Where

question 305

Multiple Choice

Find the maximum value of the objective function and where it occurs, subject to the indicated constraints. ​
Objective function:
​
Z = 9x + 5y
​
Constraints:
​
0 ≤ x ≤ 60
0 ≤ y ≤ 45
5x + 6y ≤ 420​ ​

• A)Maximum at (0, 45): 225
• B)Maximum at (0, 0): 0
• C)Maximum at (30, 45): 495
• D)Maximum at (60, 20): 640
• E)Maximum at (60, 0): 540

Comprehend the impact of standard deviation on determining sample size for population mean estimation.

Analyze the effect of allowable or tolerable sampling error on the calculation of sample size.

Explain the rounding rule for sample size calculation in estimation problems.

Distinguish between the factors that are and are not relevant in determining sample size when sampling with replacement.

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Definitions:

Blood Circulation

The continuous movement of blood through the heart and blood vessels, which delivers nutrients and oxygen to all cells and carries away waste products.

Nucleic Acids

Complex organic substances that constitute the genetic material of living cells, including DNA and RNA.

Phosphorus

A chemical element with the symbol P and atomic number 15, essential for life, involved in various biological processes, including energy transfer and the formation of bones and teeth.

Trace Element

An element required by an organism in very small amounts.