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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)
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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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
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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