Recreate the LINEAR PROGRAMMING PROBLEM based on the image of the LP MODEL attached below

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.4: Linear Programming
Problem 15E
icon
Related questions
Question
100%

Recreate the LINEAR PROGRAMMING PROBLEM based on the image of the LP MODEL attached below

Silky Shine is a company that produces two types of shampoo brands:
Rejoice and Palmolive. The company operates from Tuesday to Saturday
every week.
Decision Variables
Let:
r = number of bottles of Rejoice produced in the current week
p = number of bottles of Palmolive produced in the current week
Objective Function
Let:
b = total number of shampoo bottles kept in stock.
Maximize b
b =r+p
Constraints:
Time to process shampoo on Machine A (in minutes)
50r + 30p <= 2400 total minutes in a week
Time to process shampoo on Machine B (in minutes)
30r + 35p <= 2100 total minutes in a week
Forecasted demand of Rejoice for the next week
r >= 7500 bottles
Forecasted demand of Palmolive for the next week
p >= 9500 bottles
Transcribed Image Text:Silky Shine is a company that produces two types of shampoo brands: Rejoice and Palmolive. The company operates from Tuesday to Saturday every week. Decision Variables Let: r = number of bottles of Rejoice produced in the current week p = number of bottles of Palmolive produced in the current week Objective Function Let: b = total number of shampoo bottles kept in stock. Maximize b b =r+p Constraints: Time to process shampoo on Machine A (in minutes) 50r + 30p <= 2400 total minutes in a week Time to process shampoo on Machine B (in minutes) 30r + 35p <= 2100 total minutes in a week Forecasted demand of Rejoice for the next week r >= 7500 bottles Forecasted demand of Palmolive for the next week p >= 9500 bottles
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill