Which option (a, b, c, or d) shows the correct objective function and constraints for this application? O Objective Function: Maximize Profit, P = 50+ 6g + 4a Constraints: o+g+d=-100,o=20, g=10, a=30, g>=o, o>= 0, g>= 0, a>= 0 O Objective Function: Maximize Profit, P = 50+6g +4a Constraints: o+g+d>= 100, o<= 20, g < 10, a <= 30, og o>= 0, g>= 0, a>= 0 O Objective Function: Maximize Profit, P = 50+ 6g +4a Constraints: o+g+d=100, o>20, g>= 10, a>= 30, og o>=0.g>= 0, a >= 0 O Objective Function: Maximize Profit, P = 50+6g +4a Constraints: o+g+d>= 100, o> 20. g> 10, a>30, og o>0. g>-0, a>= 0

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
icon
Related questions
Question

I need help with this question 6

Shipping - Product Mix A produce dealer in Florida ships oranges, grapefruits, and avocados to New York by truck. Each truckload consists of 100 crates, of which at least 20 crates must contain oranges, at least 10 crates must contain grapefruits, at least 30 crates must contain
avocados, and there must be at least as many crates of oranges as grapefruits. The profit per crate is $5 for oranges, $6 for grapefruits, and $4 for avocados. How many crates of each type should be shipped per truckload in order to maximize profit?
Let o = the number of crates of oranges,
Let g = the number of crates of grapefruits, and
Let a = the number of crates of avocados
Which option (a, b, c, or d) shows the correct objective function and constraints for this application?
O Objective Function: Maximize Profit, P = 50 + 6g + 4a
Constraints: o+g+d=100, o = 20, g = 10, a = 30, g >= o, o >= 0, g >= 0, a >= 0
O Objective Function: Maximize Profit, P = 50 + 6g + 4a
Constraints: o+g+d>= 100, o<= 20, g <= 10, a <= 30, o >=g, o >= 0, g >= 0, a >= 0
O Objective Function: Maximize Profit, P = 50 + 6g + 4a
Constraints: o+g+d=100, o >= 20, g >= 10, a >= 30, o >= g, o>= 0, g >= 0, a > 0
O Objective Function: Maximize Profit, P = 50 + 6g + 4a
Constraints: o+g+ d >= 100, o >= 20, g>= 10, a >= 30, o >=g, o >= 0, g >= 0, a >= 0
Transcribed Image Text:Shipping - Product Mix A produce dealer in Florida ships oranges, grapefruits, and avocados to New York by truck. Each truckload consists of 100 crates, of which at least 20 crates must contain oranges, at least 10 crates must contain grapefruits, at least 30 crates must contain avocados, and there must be at least as many crates of oranges as grapefruits. The profit per crate is $5 for oranges, $6 for grapefruits, and $4 for avocados. How many crates of each type should be shipped per truckload in order to maximize profit? Let o = the number of crates of oranges, Let g = the number of crates of grapefruits, and Let a = the number of crates of avocados Which option (a, b, c, or d) shows the correct objective function and constraints for this application? O Objective Function: Maximize Profit, P = 50 + 6g + 4a Constraints: o+g+d=100, o = 20, g = 10, a = 30, g >= o, o >= 0, g >= 0, a >= 0 O Objective Function: Maximize Profit, P = 50 + 6g + 4a Constraints: o+g+d>= 100, o<= 20, g <= 10, a <= 30, o >=g, o >= 0, g >= 0, a >= 0 O Objective Function: Maximize Profit, P = 50 + 6g + 4a Constraints: o+g+d=100, o >= 20, g >= 10, a >= 30, o >= g, o>= 0, g >= 0, a > 0 O Objective Function: Maximize Profit, P = 50 + 6g + 4a Constraints: o+g+ d >= 100, o >= 20, g>= 10, a >= 30, o >=g, o >= 0, g >= 0, a >= 0
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Practical Management Science
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,
Operations Management
Operations Management
Operations Management
ISBN:
9781259667473
Author:
William J Stevenson
Publisher:
McGraw-Hill Education
Operations and Supply Chain Management (Mcgraw-hi…
Operations and Supply Chain Management (Mcgraw-hi…
Operations Management
ISBN:
9781259666100
Author:
F. Robert Jacobs, Richard B Chase
Publisher:
McGraw-Hill Education
Business in Action
Business in Action
Operations Management
ISBN:
9780135198100
Author:
BOVEE
Publisher:
PEARSON CO
Purchasing and Supply Chain Management
Purchasing and Supply Chain Management
Operations Management
ISBN:
9781285869681
Author:
Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
Publisher:
Cengage Learning
Production and Operations Analysis, Seventh Editi…
Production and Operations Analysis, Seventh Editi…
Operations Management
ISBN:
9781478623069
Author:
Steven Nahmias, Tava Lennon Olsen
Publisher:
Waveland Press, Inc.