Question

Formulate the following problems as LP problems. (Do not solve them, just formulate)

raw materials available in the following *c) A chemical processing plant has three types of (liquid) amounts Type of raw material Amount in ounces A 3,000 5,000 12,000 B from which will be blended five grades of perfumes whose compositions are given below Perfume grades -» 2 3 4 5 Percentage of material A Percentage of material B Percentage of material C 90 80 50 30 10 10 15 30 50 30 5 20 20 60 0 The profits per ounce of each grade is $12, $8, $6, $4, and $2, respectively. The manager of the plant wants to maximize the profit assuming that the all the perfumes so produced will be completely sold out. Set it up as a LP problem

Answer 1

See the steps below.

Let 12234 and xbe the d pduma geados ),2,3, 4 and 5 Cunen 1opeclvely Let P be the puat n Hence P= l2t 8t6x3+4x4 2 x5 The LPP inle b eemuat Jatod an- Marunivee P= 1R+8 6x3 +424 +2x5 Subjeut to 90x1t803t+Soz3+ 30x4+10 O 10217 1522t 30xyt 50 20x5500 5x2+ a0xg +204ナ60x5人 2a 2r4/0