XYZ manufactures four types of plywood panels.Each product must go through the following operations: patching,grading,gluing,and baking.The time requirements for each panel,the capacity available,the minimum production requirements,and the profit contributions per panel are tabled here.Which of the following represents the production constraint for the aircraft plywood panel? Let x1 = Number of soft panels to be made,x2 = Number of hardwood panels to be made,x3 = Number of tropical panel to be made,and x4 = Number of aircraft panels to be made.

A)X₁ ≥ 100
B)0.5X₁ + 1X₂ + 2.0X₃ + 1.5X₄ ≤ 2,000
C)X₄ ≥ 300
D)X₁ + 2X₂ + 3X₃ + 4X₄ ≤ 4,000

Question

XYZ manufactures four types of plywood panels.Each product must go through the following operations: patching,grading,gluing,and baking.The time requirements for each panel,the capacity available,the minimum production requirements,and the profit contributions per panel are tabled here.Which of the following represents the production constraint for the aircraft plywood panel? Let x1 = Number of soft panels to be made,x2 = Number of hardwood panels to be made,x3 = Number of tropical panel to be made,and x4 = Number of aircraft panels to be made.

A)X₁ ≥ 100 
B)0.5X₁ + 1X₂ + 2.0X₃ + 1.5X₄ ≤ 2,000 
C)X₄ ≥ 300 
D)X₁ + 2X₂ + 3X₃ + 4X₄ ≤ 4,000

Quizplus · Accepted Answer

The production constraint for the aircraft plywood panel would be the minimum production requirement of 300 panels, which corresponds to X₄ ≥ 300. This is because the minimum number of aircraft panels that must be produced is 300, and this must be satisfied before any other production can occur. Choices A and D are not relevant production constraints for aircraft panels, and choice B represents a capacity constraint that limits the total number of panels produced, rather than a constraint specific to aircraft panels.

XYZ Manufactures Four Types of Plywood Panels