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.Identify the objective function.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)Maximize profits = 8X₁ + 12X₂ + 18X₃ + 30X₄
B)Maximize profits = 7X₁ + 10X₂ + 15X₃ + 20X₄
C)Minimize costs = 8X₁ + 12X₂ + 18X₃ + 30X₄
D)Minimize costs = 7X1 + 10X2 + 15X3 + 20X4

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.Identify the objective function.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)Maximize profits = 8X₁ + 12X₂ + 18X₃ + 30X₄ 
B)Maximize profits = 7X₁ + 10X₂ + 15X₃ + 20X₄ 
C)Minimize costs = 8X₁ + 12X₂ + 18X₃ + 30X₄ 
D)Minimize costs = 7X1 + 10X2 + 15X3 + 20X4

Quizplus · Accepted Answer

The objective of the problem is to maximize profits, which is given as the sum of profit contributions per panel multiplied by the number of panels produced. Therefore, the objective function is:
Maximize profits = 8X₁ + 12X₂ + 18X₃ + 30X₄
Option A is the only choice that represents the correct objective function. Option B has different profit contributions per panel, Option C has a different objective of minimizing costs, and Option D again has different profit contributions per panel.

XYZ Manufactures Four Types of Plywood Panels