There are other details about the problem which will be added later. Giapetto started formulating a mathematical model considering only the above description and defined the following decision variables: • yi: Production quantity for type i toy, i = 1, 2 corresponding to soldiers and trains, respectively. Considering the above problem description, you need to figure out the rest of the decision variables in the below formulation and fill the boxes appropriately. y1 + |x2 (Objective & Objective Function) у2 + x1 + st. y1 + y2 + (1-x1) + (1-x2) 100 (Soldier demand) y1 + y2 + (1-x1) + (1-x2) 300 (Train demand) y1, у2 v (Sign/type restrictions) х1, х2 (Sign/type restrictions)

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Giapetto is thinking of buying a new cutting tool for $25 to make toy soldiers and a new clamping tool for $20 to make toy trains. If he does not buy
a new tool, he can still make a toy using the older tool he already has. However, using an old cutting tool leads to 50% of the produced soldiers and
using an old clamping tool leads to 40% of the produced trains to be defective. With a new tool, there is no defective production. Giapetto cannot
sell any defective product. Weekly demands (must be met exactly without left-over inventory) and productions costs are as follows:
1. Soldiers 2. Trains
Demand (units/week)
Production cost (S/unit)
100
300
12
14
There are other details about the problem which will be added later. Giapetto started formulating a mathematical model considering only the above
description and defined the following decision variables:
yi: Production quantity for type i toy, i = 1, 2 corresponding to soldiers and trains, respectively.
Considering the above problem description, you need to figure out the rest of the decision variables in the below formulation and fill the boxes
appropriately.
y1+
| x2 (Objective & Objective Function)
y2 +
x1 +
s.t.
y1+
y2 +
(1-х1) +
(1-x2)
100 (Soldier demand)
у1 +
у2 +
(1-х1) +
(1-х2)
300 (Train demand)
у1, у2
(Sign/type restrictions)
х1, х2
(Sign/type restrictions)
Transcribed Image Text:Giapetto is thinking of buying a new cutting tool for $25 to make toy soldiers and a new clamping tool for $20 to make toy trains. If he does not buy a new tool, he can still make a toy using the older tool he already has. However, using an old cutting tool leads to 50% of the produced soldiers and using an old clamping tool leads to 40% of the produced trains to be defective. With a new tool, there is no defective production. Giapetto cannot sell any defective product. Weekly demands (must be met exactly without left-over inventory) and productions costs are as follows: 1. Soldiers 2. Trains Demand (units/week) Production cost (S/unit) 100 300 12 14 There are other details about the problem which will be added later. Giapetto started formulating a mathematical model considering only the above description and defined the following decision variables: yi: Production quantity for type i toy, i = 1, 2 corresponding to soldiers and trains, respectively. Considering the above problem description, you need to figure out the rest of the decision variables in the below formulation and fill the boxes appropriately. y1+ | x2 (Objective & Objective Function) y2 + x1 + s.t. y1+ y2 + (1-х1) + (1-x2) 100 (Soldier demand) у1 + у2 + (1-х1) + (1-х2) 300 (Train demand) у1, у2 (Sign/type restrictions) х1, х2 (Sign/type restrictions)
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