There is a total of 100 questions in the basic exam and 10 BONUS questions. Sounds like a lot!
Here are the tradeoffs!
a)This is â€œat homeâ€, open book, open notes.
b)The 100 basic exam questions DO NOT include extensive formulation or computation!
c)The 100 basic exam questions are either â€œMultiple Choiceâ€, â€œTrue or Falseâ€ or â€œFill-in-the-Blank questions!
d)The 10 BONUS questions are the formulation and computation questions as BONUS!
Put ALL your answers on the below Answer Sheets no exceptions!
Formulate a Linear Programming Model â€“
1) The poultry farmer decided to make his own chicken scratch by combining alfalfa and corn in rail car quantities. A rail car of corn costs $400 and a rail car of alfalfa costs $200. The farmer’s chickens have a minimum daily requirement of vitamin K (500 milligrams) and iron (400 milligrams), but it doesn’t matter whether those elements come from corn, alfalfa, or some other grain. A unit of corn contains 150 milligrams of vitamin K and 75 milligrams of iron. A unit of alfalfa contains 250 milligrams of vitamin K and 50 milligrams of iron. Formulate the linear programming model for this situation including the Optimization equation and 2 constraint equations. [10 points]
2) The international man of mystery knew the finest haberdashers the world over and constantly sought to expand his dazzling array of fine suits, ties, and cufflinks. Closet space was at a premium however, so purchases were carefully weighed. Each suit provides 23 units of dazzlement, each tie 14, and a set of cufflinks is worth an easy 8. A suit takes up 0.5 cubic feet of closet space and $900 of budget. A tie costs $135 and cufflinks cost $100 per set. Cufflinks are tiny â€“ even in the original box, they take up only .01 cubic feet while ties occupy a lusty .25 cubic feet. He has budgeted $12,000 for clothes on this trip and has 20 cubic feet of closet space left to fill.
Formulate an objective function and 2 constraints to model this situation. [10 points]