Question

I) A metal box like the following one is produced at a factory. Body One body and two covers are the components of the box. These from four different types of plaque template that are seen at the following figures components are cut о ос о 001 100 The following table is created for that plaque templates Template 2 2 5 10 cm2 2.5 3 0 4 4 Amount of body Amount of cover Amount of waste Cutting time (minutes 7 12 cm2 17 cm 6 cm2 1.5 12 TL is earned from each box sale. Beside this I 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

Answeǐ 응- Given that A metalbot like the-following one ts poodced at a facto Cove Coves One body and lwo covess ave the Components of the These cornforents are cut fom fous dt#esen{ ypas of Plaque template. The sloudting table ts Caeed fos that Ploque templodes Te 3 t bod Amant of cove Amount 0f was vtting time (minutes)351.S

ld χ',12,, and χ4 be the quen thes of templates destsel Sence the tokal numbers of bodfes can be pseduced fs Since there ore Only s7 tempiates aatlible So we must have Xi + 2, 5 + urz34 l-S χ4 s 긔DDー:@ to the total wsle uld be s Locs due toey es would be TA: = 0.54(uoste, Now, the ancuntoes node ucud be eqpal to bad psoduced仔the coveYS age noete so, +eat these ase only double coves euclible thot bdes teto ae the Cost due to tssued todfes and covess uwe mus fes ie ve

rts Ord Since 30 Noo the eay ts of eun hy ype canbe eg, t r 2 and 3 Tie ug Const +X1+5 hos,the total earning would te ence neTPB0#i"T would be 군 > P-Cu Thus the mothe maltcoul cipp mode 1 wtuld be

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