Question

I) A metal box like the following one is produced at a factory. ts of the box. These components are One body and two covers are the componen from four different types of plaque template that are seen at the following figures cut The following table is created for that plaque templates Template 2 2 5 10 cm2 3 0 9 7 cm 4 4 Amount of bod Amount of cover Amount of waste Cutting time (minutes 7 12 cm2 6 cm2 2 TL is earned from each box sale. Beside this 1 cm2 waste plaque costs 0.5 TL. Each week, 35 hours can be spend for the production of the boxes and 27 plaques can be provided There is nothing at the stock at the beginning of the week. At the end of the week, each unused body costs 2 TL and each cover costs 0.5 TL. Each produced box can be sold Create a mathematical model to maximize the profit of each week.

Answer 1

Sol marim pso-Ptl as The otalno.of bodias can be peoduced Cove We have , Coves Amourt of Amount of covon Amount of waste cutlin time lminuts) 75 tzen? load IRCf6cnt 3 2.5 1- -foom ha able The Amaut of and ago The total humbes of templades avaiable is 2a The -time avoilhbile is 3s h (2toomins) So we must have Nou tho total Amourt of wage L Scanned with CS CamScanner

The Loss due -to this wate would be 2 no the amount of boves made would be equal 79oducedpf-He coeos one made so aoe orli doublo Covs, available than the bodie S .ey to avoid -h cost due to d bodics and cov we must hve CeS 2 bodies ming would te Camscanner

P12(Amount of bodig) The nt Pooft s 9 Hence poov ed cs scanned with- CamScanner