h) Suppose that; Change the selling price of the 3 TL plain bun to (3 + 24) TL and the selling price of the plain soft bagel from 3.25 TL to (3.25 + A) TL. In this case, find the range of values that A can take so that the existing basic feasible solution does not change.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 33P: Assume the demand for a companys drug Wozac during the current year is 50,000, and assume demand...
icon
Related questions
icon
Concept explainers
Topic Video
Question
100%

linear programming problem. one image is the question and the other image is required information. 

A bakery makes and sells daily bagels, plain buns and plain soft bagels. It earns 2 TL for each
bagel, 3 TL for a plain bun and 3.25 TL for a plain soft bagel. The bakery aims to produce and
sell at least 100 products per day. The main resources used and the quantities required from
each source for the production of each product are given in the table below.
Bakery Resources
Daily Capacity
Required Resource Amount
Daily Bagel
Plain Bun
Plain Soft
Bagel
Dough (kg)
15
0.10
0.15
0.2
Labor (man*hour)
10.25
0.05
0.15
0.075
Baking Time -
Oven Capacity
20
0.2
0.1
0.2
Utilization
In order to maximize the bakery income, the LP model given below was established. Decision
variables (X1, X2, X3) show the number of daily bagels, plain buns and plain soft bagels
produced per day, respectively. Answer the questions according to this LP model. Find
solutions to sensitivity questions with revised simplex or dual simplex. Unless otherwise
stated, the questions are independent from each other.
Max Z = 2X1 + 3X2 + 3.25X3
S.T.
0.1X1 + 0.15X2 + 0.2X3 S 15
0.05X1 + 0.15X2 + 0.075X3 s 10.25
0.2X1 + 0.1X2 + 0.2X3 s 20
X1+ X2 + X3 2 100
Х, Ха, Xз 2 0
Transcribed Image Text:A bakery makes and sells daily bagels, plain buns and plain soft bagels. It earns 2 TL for each bagel, 3 TL for a plain bun and 3.25 TL for a plain soft bagel. The bakery aims to produce and sell at least 100 products per day. The main resources used and the quantities required from each source for the production of each product are given in the table below. Bakery Resources Daily Capacity Required Resource Amount Daily Bagel Plain Bun Plain Soft Bagel Dough (kg) 15 0.10 0.15 0.2 Labor (man*hour) 10.25 0.05 0.15 0.075 Baking Time - Oven Capacity 20 0.2 0.1 0.2 Utilization In order to maximize the bakery income, the LP model given below was established. Decision variables (X1, X2, X3) show the number of daily bagels, plain buns and plain soft bagels produced per day, respectively. Answer the questions according to this LP model. Find solutions to sensitivity questions with revised simplex or dual simplex. Unless otherwise stated, the questions are independent from each other. Max Z = 2X1 + 3X2 + 3.25X3 S.T. 0.1X1 + 0.15X2 + 0.2X3 S 15 0.05X1 + 0.15X2 + 0.075X3 s 10.25 0.2X1 + 0.1X2 + 0.2X3 s 20 X1+ X2 + X3 2 100 Х, Ха, Xз 2 0
h) Suppose that; Change the selling price of the 3 TL plain bun to (3 + 24) TL and the
selling price of the plain soft bagel from 3.25 TL to (3.25 + A) TL. In this case, find the
range of values that A can take so that the existing basic feasible solution does not
change.
Transcribed Image Text:h) Suppose that; Change the selling price of the 3 TL plain bun to (3 + 24) TL and the selling price of the plain soft bagel from 3.25 TL to (3.25 + A) TL. In this case, find the range of values that A can take so that the existing basic feasible solution does not change.
Expert Solution
steps

Step by step

Solved in 3 steps with 7 images

Blurred answer
Knowledge Booster
Inventory management
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.
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,