Solution

# Solution - CSA 273 Problem #1 Mine 1 2 Requirement(lbs)...

This preview shows pages 1–2. Sign up to view the full content.

CSA 273 Solutions to Homework #6 Problem #1 Mine Gold (lbs/day) Silver (lbs/day) 1 2 2 2 1 3 Requirement(lbs) 12 18 Formulation: Let x i = Number of days Goldilocks spends in mine i (i=1,2). Minimize x 1 + x 2 St 2x 1 + x 2 ≥12 (Gold requirement) 2x 1 + 3x 2 ≥18 (Silver requirement) x 1 , x 2 ≥ 0 From Excel constraint graph, optimal solution occurs where Gold and Silver constraint line intersect. 2x 1 + x 2 =12 2x 1 + 3x 2 =18 x 1 =4.5 days, x 2 =3 days Goldilocks should spend 4.5 days in Mine 1 and 3 days in Mine 2. Problem #2 Constraints will be same as in example, only objective function will change. January Costs x 1,idle = 65-50- x 1,train = 15- x 1,train Salary=4000(50)+4000x 1,train + 3000(15-x 1,train ) Training costs = 2800*5 x 1,train Total January Cost =245,000 + 15000 x 1,train February Costs Number of stewardesses available = 65+4* x 1,train x 2,idle = 65+4* x 1,train -75- x 2,train = 4* x 1,train - x 2,train -10 Salary = 4000(75) + 4000* x 2,train + 3000(4* x 1,train - x

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 04/17/2008 for the course CSA 273 taught by Professor Patton during the Spring '08 term at Miami University.

### Page1 / 2

Solution - CSA 273 Problem #1 Mine 1 2 Requirement(lbs)...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online