Giapetto is thinking of buying a new cutting tool for $20 to make toy soldiers and a new clamping tool for $15 to make toy trains. Ifhe does not buy a new tool, he can still make a toy using the older tool he already has. However, using an old cutting tool leads to50% of the produced soldiers and using an old clamping tool leads to 20% of the produced trains to be defective. With a new tool,there is no defective production. Giapetto cannot sell any defective product. Weekly demands (must be met exactly without left-over inventory) and productions costs are as follows:1. Soldiers 2. TrainsDemand (units/week)Production cost ($/unit)400300717There are other details about the problem which will be added later. Giapetto started formulating a mathematical modelconsidering only the above description and defined the following decision variables:• xi: 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 andfill the boxes appropriately.y1 +y2 +x1 +x2 (Objective & Objective Function)s.t.(1-y1) +(1-у2) +x1 +x2400 (Soldier demand)(1-y1) +(1-у2) +x1 +x2v 300 (Train demand)у1, у2(Sign/type restrictions)х1, х2(Sign/type restrictions)

Name: Giapetto is thinking of buying a new cutting tool for $20 to make toy
Uploaded: 2024-03-05T11:52:21.000Z
Channel: Bartleby
Description: Giapetto is thinking of buying a new cutting tool for $20 to make toy soldiers and a new clamping tool for $15 to make toy trains. Ifhe does not buy a new tool, he can still make a toy using the older tool he already has. However, using an old cutti

Mathematical model is formulated as below: Decision variables: y1 = production quantity of type 1…

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Giapetto is thinking of buying a new cutting tool for $20 to make toy soldiers and a new clamping tool for $15 to make toy trains. If he does not buy a new tool, he can still make a toy using the older tool he already has. However, using an old cutting tool leads to 50% of the produced soldiers and using an old clamping tool leads to 20% of the produced trains to be defective. With a new tool, there is no defective production. Giapetto cannot sell any defective product. Weekly demands (must be met exactly without left- over inventory) and productions costs are as follows: 1. Soldiers 2. Trains Demand (units/week) 400 300 Production cost ($/unit) 7 17