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A company manufactures two products X and Y. Each product has to be processed in three departments: welding, assembly, and painting. Each unit of X spends 2 hours in the welding department, 3 hours in assembly, and 1 hour in painting. The corresponding times for a unit of Y are 3, 2, and 1 hours respectively. The employee hours available in a month are 1,500 for the welding department, 1,500 in assembly, and 550 in painting. The contribution to profits is 100 dollars for product X and 120 dollars for product Y.

 

What equation should be used to model the maximum and minimum profit?

 

A) 1500x + 550y

 

B) 100x + 120y

 

C) 550x + 1500y

 

D) 120x + 100y

 

What is the equation of the labor for the assembly department in this linear program?

 

A) 3x + 2y = 550

 

B) 1x + 1y = 1500

 

C) 3x + 2y = 1500

 

D) 2x + 2y = 1500

 

What is the equation of the labor for the welding department in this linear program?

 

A) 3x + 2y = 1500

 

B) 2x + 3y = 1500

 

C) 2x + 3y = 550

 

D) 3x + 2y = 550

 

What is the equation of the labor for the painting department in this linear program?

 

A) 3x + 2y = 1500

 

B) 1x + 1y = 550

 

C) 3x + 2y = 550

 

D) 1x + 1y = 1500

 Oct 21, 2020
 #1
avatar+111602 
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I am not going to do the whole thing for you, but setting it out in a table like this should help you.

 

 

  Welding hours/unit Assembly hours/unit Painting hours/unit Profit/unit
X 2 3 1 100
Y 3 2 1 120
Max available per month 1500 1500 550  
 Oct 21, 2020

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