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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
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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