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c) If the labor capacity of the bakery was 11 man * hour, what would be the maximum value of the total profit? What products would be produced in this case? If necessary, find the new solution with dual simplex.

c) If the labor capacity of the bakery was 11 man * hour, what would be the maximum value of the total profit? What products would be produced in this case? If necessary, find the new solution with dual simplex.

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section5.3: Assignment Models
Problem 12P
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this is a linear programming problem. question is in the second image

c) If the labor capacity of the bakery was 11 man * hour, what would be the maximum value of the total profit? What products would be produced in this case? If necessary, find the new solution with dual simplex.
Transcribed Image Text:c) If the labor capacity of the bakery was 11 man * hour, what would be the maximum value of the total profit? What products would be produced in this case? If necessary, find the new solution with dual simplex.
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
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ISBN:
9781337406659
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Publisher:
Cengage,
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