Let X and Y be the number of products to produce. The profitability of X is $50 per unit and of Y is $40 per unit. There are 1000 lbs available of a raw material that both X and Y needs. Product X requires 2 Ibs of this raw material per unit produced and product Y requires 1 Ib per unit produced. There is a total of 1500 labor hs available and product X requires 2 hours per unit and Y 3 hours per unit. The company wants to know how many units of X and Y to produce in order to maximize profits. The formulation below represents this problem mathematically Maximize Z = 50X + 40Y subject to the following constraints: 2X + Y<= 1000 2X +3Y <= 1500 X,Y >= 0 Using the graphical method find the combination of X and Y to produce that maximizes profits | X = 375; Y = 250 OX = 600; Y = 200 O X = 500; Y = 0 OX = 100; Y = 800 OX = 250; Y = 300
Let X and Y be the number of products to produce. The profitability of X is $50 per unit and of Y is $40 per unit. There are 1000 lbs available of a raw material that both X and Y needs. Product X requires 2 Ibs of this raw material per unit produced and product Y requires 1 Ib per unit produced. There is a total of 1500 labor hs available and product X requires 2 hours per unit and Y 3 hours per unit. The company wants to know how many units of X and Y to produce in order to maximize profits. The formulation below represents this problem mathematically Maximize Z = 50X + 40Y subject to the following constraints: 2X + Y<= 1000 2X +3Y <= 1500 X,Y >= 0 Using the graphical method find the combination of X and Y to produce that maximizes profits | X = 375; Y = 250 OX = 600; Y = 200 O X = 500; Y = 0 OX = 100; Y = 800 OX = 250; Y = 300
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.CR: Chapter Review
Problem 70E: A company manufactures two fertilizers, x and y. Each 50-pound bag of fertilizer requires three...
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Help me please
![Let X and Y be the number of products to produce. The profitability of X is
$50 per unit and of Y is $40 per unit.
There are 1000 lbs available of a raw material that both X and Y needs.
Product X requires 2 lbs of this raw material per unit produced and product Y
requires 1 Ib per unit produced.
There is a total of 1500 labor hs available and product X requires 2 hours per
unit and Y 3 hours per unit.
The company wants to know how many units of X and Y to produce in order
to maximize profits.
The formulation below represents this problem mathematically
Maximize Z = 50X + 40Y
subject to the following constraints:
2X + Y<= 1000
2X +3Y <= 1500
X,Y >= 0
Using the graphical method find the combination of X and Y to produce that
maximizes profits
OX = 375; Y = 250
OX = 600; Y = 200
OX = 500; Y = 0
OX = 100; Y = 800
OX = 250; Y = 300
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9eadaaa9-f30e-446d-89c4-8ab34be7a493%2F08f1ceb2-3baf-4b9b-9726-761d0a3116b2%2Fp7dmvbv_processed.png&w=3840&q=75)
Transcribed Image Text:Let X and Y be the number of products to produce. The profitability of X is
$50 per unit and of Y is $40 per unit.
There are 1000 lbs available of a raw material that both X and Y needs.
Product X requires 2 lbs of this raw material per unit produced and product Y
requires 1 Ib per unit produced.
There is a total of 1500 labor hs available and product X requires 2 hours per
unit and Y 3 hours per unit.
The company wants to know how many units of X and Y to produce in order
to maximize profits.
The formulation below represents this problem mathematically
Maximize Z = 50X + 40Y
subject to the following constraints:
2X + Y<= 1000
2X +3Y <= 1500
X,Y >= 0
Using the graphical method find the combination of X and Y to produce that
maximizes profits
OX = 375; Y = 250
OX = 600; Y = 200
OX = 500; Y = 0
OX = 100; Y = 800
OX = 250; Y = 300
%3D
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