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 1 y 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/