According to Excel's sensitivity report for the previous formulated model (Eagle Tavern), the sensitivity range for the objective function coefficient of x3 (or Rainwater) is O [1.25, +infinity] O [1.5, +infinity] O [-infinity, 1.5] O [-infinity, 1.25]

PREALGEBRA
15th Edition
ISBN:9781938168994
Author:OpenStax
Publisher:OpenStax
Chapter5: Decimals
Section5.6: Ratios And Rate
Problem 484E: A 16-ounee chocolate mocha coffee with whipped cream contains 470 calories, 18 grams of fat, 63...
icon
Related questions
Question
Only need help with the sensitivity range
According to Excel's sensitivity report for the previous formulated model (Eagle Tavern), the
sensitivity range for the objective function coefficient of x3 (or Rainwater) is
O [1.25, +infinity]
O [1.5, +infinity]
O [-infinity, 1.5]
O [-infinity, 1.25]
Transcribed Image Text:According to Excel's sensitivity report for the previous formulated model (Eagle Tavern), the sensitivity range for the objective function coefficient of x3 (or Rainwater) is O [1.25, +infinity] O [1.5, +infinity] O [-infinity, 1.5] O [-infinity, 1.25]
Betty Malloy, owner of the Eagle Tavern in Pittsburgh, is preparing for Super Bowl Sunday, and she
must determine how much beer to stock. Betty stocks three brands of beer-Yodel, Shotz, and
Rainwater. The cost per gallon (to the tavern owner) of each brand is shown in table below. The
tavern has a budget of $2,000 for beer for Super Bowl Sunday. Betty sells Yodel at a rate of $3,00
per gallon, Shotz at $2.50 per gallon, and Rainwater at $1.75 per gallon. Based on past football
games, Betty has determined the maximum customer demand to be 400 gallons of Yodel, 500
gallons of Shotz, and 300 gallons of Rainwater. The tavern has the capacity to stock 1,000 gallons of
beer; Betty wants to stock up completely. Betty wants to decide on
the number of gallons of each brand of beer to order so as to make the most profit. Formulate a
linear programming model for this problem. Define x₁ as the number of gallons of Yodel to order, x2
as the number of gallons of Shotz to order, x3 as the number of gallons of Rainwater to order, and Z
as the total profit. Which of the following model formulations is correct?
Brand
Cost/Gallon
Yodel
$1.50
Shotz
0.90
Rainwater
0.50
Transcribed Image Text:Betty Malloy, owner of the Eagle Tavern in Pittsburgh, is preparing for Super Bowl Sunday, and she must determine how much beer to stock. Betty stocks three brands of beer-Yodel, Shotz, and Rainwater. The cost per gallon (to the tavern owner) of each brand is shown in table below. The tavern has a budget of $2,000 for beer for Super Bowl Sunday. Betty sells Yodel at a rate of $3,00 per gallon, Shotz at $2.50 per gallon, and Rainwater at $1.75 per gallon. Based on past football games, Betty has determined the maximum customer demand to be 400 gallons of Yodel, 500 gallons of Shotz, and 300 gallons of Rainwater. The tavern has the capacity to stock 1,000 gallons of beer; Betty wants to stock up completely. Betty wants to decide on the number of gallons of each brand of beer to order so as to make the most profit. Formulate a linear programming model for this problem. Define x₁ as the number of gallons of Yodel to order, x2 as the number of gallons of Shotz to order, x3 as the number of gallons of Rainwater to order, and Z as the total profit. Which of the following model formulations is correct? Brand Cost/Gallon Yodel $1.50 Shotz 0.90 Rainwater 0.50
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Recommended textbooks for you
PREALGEBRA
PREALGEBRA
Algebra
ISBN:
9781938168994
Author:
OpenStax
Publisher:
OpenStax
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
Elementary Algebra
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University