Find the Minimum Value of the Objective Function and Where

question 2

Multiple Choice

Find the minimum value of the objective function and where it occurs,subject to the indicated constraints. ​
Objective function:
​
Z = 10x + 4y
​
Constraints:
​
0 ≤ x ≤ 60
0 ≤ y ≤ 45
5x + 6y ≤ 420
​​ ​

• A)Minimum at (0,0): 0
• B)Minimum at (60,20): 680
• C)Minimum at (0,45): 180
• D)Minimum at (60,0): 600
• E)Minimum at (30,45): 480

---

Definitions:

Cross-sectional

Pertaining to a research design that examines a data sample or multiple samples at one specific point in time.

Sequential Method

A research or problem-solving technique that involves proceeding through a series of steps in order, one after the other.

Developmental Research Designs

Research methods used to examine changes in behavior or abilities over time, typically used in psychological and educational studies.

Panel Study

A type of longitudinal study where data are collected from the same subjects at multiple points in time, useful for identifying trends and changes.