+61-413 786 465

[email protected]

 Algebra Math Calculus Physics Chemistry Biology Earth Science Physiology History Humanities English Sociology Nursing Science

Home >> Math

problem 1: A large book publisher has five manuscripts which must be edited as soon as possible. Five editors are accessible for doing the work; though their working times on the different manuscripts will vary based on their backgrounds and interests. The publisher wants to use an assignment method to find out who does what manuscript. Each editor will edit only one manuscript. Estimates of editing times (in hrs) for each and every manuscript by each editor are:
Editor
Manuscript    A      B     C     D      E

1                 12    8     10    16    14
2                  9    10    14    13    10
3                 17    14    9     18    8
4                 15    7     11     9    17
5                 12    18    22    11   25

a) Formulate the problem as an assignment model, show all the decision variables and constraints.

b) Determine the total minimum editing time?  What editors will be assigned to each and every manuscript?

problem 2: A thief breaks into a house. He searches and finds numerous items of value. He carries with him a sack that can hold 8 cubic feet of items and he can carry 100 pounds of stolen goods in his sack. He predicts that if he is in the house longer than four minutes he will get caught, he wants to leave before this occurs? The given table contains information regarding each of the items he can acquire.

a) Formulate the problem as an integer programming problem. State the complete model comprising all the decision variables and constraints.

b) Specify what items and how many of each the thief must steal.

c) Determine the limiting constraint(s), the size of the sack, the weight he can carry or the amount of time that he has.

d) What is his gain for this endeavor?

problem 3: A city is reviewing the position of its fire stations. The city is made up of a number of neighborhoods, as shown in figure below. A fire station can be positioned in any neighborhood. This is capable to handle the fires for both its neighborhood and any adjacent neighborhood. The objective is to minimize the number of fire stations employed.

i) Formulate the problem as a binary-integer programming problem. State the complete model comprising all the decision variables and constraints.

ii) State what neighborhoods must contain a fire station.

iii) In addition to part B, provide two more feasible solutions to this problem. Which solution is best, justify.

• Category:- Math
• Reference No.:- M9577

Have any Question?

## Related Questions in Math

### Questions -q1 prove the following identitiesa sinx y sinx

Questions - Q1. Prove the following identities a. sin(x + y) + sin(x - y) = 2 sin x cos y b. sec(x - y) = cos(x + y)/(cos 2 x - sin 2 y) c. tan 2 x - sin 2 x = (tan x sin x) 2 Q2. Solve the following equations for x ∈ [0 ...

### Maths assignment - 1 analysis of a data setusing a

Maths Assignment - 1. Analysis of a data set Using a continuous data set you are requested to collect in the types of data and gathering data section, perform a statistical analysis on your data. You have opportunities t ...

### Questions - provide solution to the following questionsq1

Questions - Provide solution to the following questions: Q1. Evaluate the following: ∫xsin3xdx Q2. If , then for what value of α is A an identity matrix? Q3. The line y = mx + 1 is a tangent to the curve y 2 = 4x. Find t ...

### Assessment taskpractical investigation- question 1 requires

Assessment Task Practical Investigation - Question 1 requires selecting reference points from the graph. It is expected that each student will choose different reference points to other students. Take note of the criteri ...

### 1 suppose that n 10088821 is a product of two distinct

1. Suppose that n = 10088821 is a product of two distinct primes, and Φ(n) = 10082272. Determine the prime factors of n. 2. It is easy to show that the converse of Fermat's Theorem does not hold; i.e., the congruence a n ...

### Assignment -question 1 let t and or 0 1 be a boolean

Assignment - Question 1. Let (T, ∧, ∨,', 0, 1) be a Boolean Algebra. Define ∗ : T × T → T and o : T × T → T as follows: x ∗ y := (x ∨ y)' x o y := (x ∧ y)' (a) Show, using the laws of Boolean Algebra, how to define x ∗ y ...

### Assignment - provide solution to the following questionsq1

Assignment - Provide solution to the following questions: Q1. Evaluate the following: ∫xsin3x dx Q2. If , then for what value of α is A an identity matrix? Q3. The line y = mx + 1 is a tangent to the curve y 2 = 4x. Find ...

### Question 1 what is the nth order approximation using taylor

Question: 1. What is the nth order approximation using Taylor series? 2. What is Error Propagation? 3. Please explain what the total numerical error is? Please illustrate how the change of step size will affect the total ...

### Mathematics- algebraic geometry problemlet k denotes an

Mathematics- Algebraic Geometry Problem Let K denotes an algebraically closed field and let P 1 be constructed as in Example 5.5(a) in Gathmanns notes, i.e. P 1 is the gluing of X 1 = A 1 and X 2 = A 1 along  the open su ...

### Mathematics- algebraic geometry problemlet k denotes an

Mathematics- Algebraic Geometry Problem Let K denotes an algebraically closed field and let P 1 be constructed as in Example 5.5(a) in Gathmanns notes, i.e. P 1 is the gluing of X 1 = A 1 and X 2 = A 1 along  the open su ...

• 13,132 Experts

## Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

### Why might a bank avoid the use of interest rate swaps even

Why might a bank avoid the use of interest rate swaps, even when the institution is exposed to significant interest rate

### Describe the difference between zero coupon bonds and

Describe the difference between zero coupon bonds and coupon bonds. Under what conditions will a coupon bond sell at a p

### Compute the present value of an annuity of 880 per year

Compute the present value of an annuity of \$ 880 per year for 16 years, given a discount rate of 6 percent per annum. As

### Compute the present value of an 1150 payment made in ten

Compute the present value of an \$1,150 payment made in ten years when the discount rate is 12 percent. (Do not round int

### Compute the present value of an annuity of 699 per year

Compute the present value of an annuity of \$ 699 per year for 19 years, given a discount rate of 6 percent per annum. As