Asked by Jennifer McCray on Jun 28, 2024
Verified
If Ci,Ri,and Pi (where i = 1,2,3…) are used to denote the number of action figures to be produced on captain machines,the number of action figures to be produced on regular machines,and the number of action figures purchased from an outside supplier respectively,which of the following are the constraints that meet production requirements?
A) C1 + P1 = 90,000 C2+ R2 + P2 = 153,000
C3 + R3 + P3 = 20,000
B) R1 + P1 = 153,000 C2+ R2 + P2 = 180,000
C3 + R3 + P3 = 40,000
C) R1 + C1 = 76,500 C2+ R2 + P2 = 45,000
C3 + R3 + P3 = 10,000
D) R1 + P1 = 38,250 C2+ R2 + P2 = 22,500
C3 + R3 + P3 = 5,000
Production Requirements
The specific criteria or conditions needed to manufacture or produce goods, including materials, labor, and technology.
Regular Machines
Standardized machines typically used in manufacturing or production processes with specific, repetitive tasks.
- Discern and elucidate fundamental aspects of linear optimization challenges, such as the objective function, constraints, and decision variables.
- Gain an understanding of and quantify the demands and restrictions related to labor and production within certain contexts.
Verified Answer
VH
Vivian HortaJul 02, 2024
Final Answer :
A
Explanation :
The correct constraints must include all types of production sources (captain machines, regular machines, and outside suppliers) across different periods (i = 1,2,3…). Choice A is the only option that consistently applies this principle across three different periods with realistic production numbers.
Learning Objectives
- Discern and elucidate fundamental aspects of linear optimization challenges, such as the objective function, constraints, and decision variables.
- Gain an understanding of and quantify the demands and restrictions related to labor and production within certain contexts.
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