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, 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 X1, X2, Xs 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, 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 X1, X2, Xs 2 0

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter4: Rational Expressions

Section4.CM: Cumulative Review Problem Set

Problem 48CM

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