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 Вagel 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, Xs) 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 + 3.25XS S.T. 0.1X1 + 0.15X2 + 0.2X3 s 15 0.05X1 + 0.15X2 + 0.075X3 s 10.25 0.2X1 + 0.1X2 + 0.2Xg s 20 X1 + X2 + X3 2 100 Х, Х, Xз 2 0

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 Вagel 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, Xs) 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 + 3.25XS S.T. 0.1X1 + 0.15X2 + 0.2X3 s 15 0.05X1 + 0.15X2 + 0.075X3 s 10.25 0.2X1 + 0.1X2 + 0.2Xg s 20 X1 + X2 + X3 2 100 Х, Х, Xз 2 0

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Description: this is a linear programming problem. one image is the required information and the other image is the question. A bakery makes and sells daily bagels, plain buns and plain soft bagels. It earns 2 TL for eachbagel, 3 TL for a plain bun and 3.25 TL fo

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

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

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

d) How would the current solution change if the labor capacity of the bakery was
4 man*hour? If necessary, find the new solution with dual simplex.

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