ACI Linear Programming Model Formulation & Computation Exam Practice

Allentown Career Institute

### Question Description

I don’t understand this Statistics question and need help to study.

There is a total of 100 questions in the basic exam and 10 BONUS questions. Sounds like a lot!

a)This is “at home”, 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 “Multiple Choice”, “True or False” or “Fill-in-the-Blank questions!

d)The 10 BONUS questions are the formulation and computation questions as BONUS!

Formulate a Linear Programming Model –

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 – 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]

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Hey, there! I hope you're doing good. 😊 Attached is the file that contains the answers for this homework including the answers for the bonus questions. Feel free to let me know if you have any questions. Thanks!

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Answ
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1
2
3
4
5
6
7

TRUE
TRUE
TRUE
TRUE
TRUE
TRUE
FALSE

41
42
43
44
45
46
47

A
B
A
B
D
B
A

81
82
83
84
85
86
87

8

FALSE

48

C

88

9

FALSE...

naeeeeee (709)
Duke University
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