Say you need to buy some new filing cabinets. You know that it is $10 unit to buy Cabinet X, which holds cubic feet of files and re!uires space of " s!uare feet. #n the other hand, it is $ 0 for e%ery unit Y which re!uires floor space of s!uare feet and holds about & cubi files. 'or this purchase, you ha%e been gi%en $1(0 but don)t really h spend all of it. *he space in the office only has room for a ma+imum se%enty two s!uare feet of furniture. *o ma+imi-e the %olume of file store, how many of what model do you need to buy*he %ariables will then be/ + cabinet + purchased pieces y cabinet y purchased pieces here/ x 2 0 and y 2 0 3ecause 4 need to consider the space allowed in the office and yet at ma+imi-e %olume of storage, the optimi-ation e!uation will be the %ol and the constraints will be floor space/ 5olume/ % x 6 1y Space/ " x 6 y 7 8 , or y 7 9 :;< ( = + 6 > Cost/ 10 x 6 0 y 7 1(0, or y 7 9 :1< = + 6 8 You can then graph this/
Say you need to buy some new filing cabinets. You know that it
is $10 per unit to buy Cabinet X, which holds 8 cubic feet of files
and requires floor space of 6 square feet. On the other hand, it is
$20 for every unit of Cabinet Y which requires floor space of 8
square feet and holds about 5 cubic feet of files. For this
purchase, you have been given $140 but dont really have to spend
all of it. The space in the office only has room for a maximum of
seventy-two square feet of furniture. To maximize the volume of
files you can store, how many of what model do you need to buy?The
variables will then be:x= cabinet x purchased piecesy= cabinet y
purchased piecesWhere:x>0 andy>0Because I need to consider
the space allowed in the office and yet attempt to maximize volume
of storage, the optimization equation will be the volume and the
constraints will be floor space:Volume:v = 8x+ 12ySpace:6x+ 8y
