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Answered: - I really need help on this I have no idea how to set this up.


I really need help on this I have no idea how to set this up.


OPRE 3333 (Johnston)

 

Spring 2016

 

Homework 7

 

DUE: 3 April 2016

 

Use the EXCEL Solver to solve the following optimization problems. Be prepared

 

to identify the type of problem (minimization or maximization), the final value of

 

the Objective Function, some or all of the final values for Decision Variables,

 

some or all of the constraints, some or all of the Shadow Prices, and to answer

 

other pertinent questions related to each of the scenarios.

 

It is recommended that at least EXCEL 2010 (PC) or 2013 (Mac) be used for this

 

homework. Standard SIMPLEX Linear Programming models should be run in all

 

cases. Integer constraints should not be used except where BINARY variables are

 

indicated.

 

Each answer is worth 20 points.

 

Your answers are to be provided through the HW 7 assessment in eLearning for

 

this course and section.

 


 

1. A small manufacturing operation (SMO) produces six kinds of

 

parts (P-1, P-2, P-3, P-4, P-5, P-6), using three machines (M-1, M2, M-3). For the coming month, a certain number of each part is

 

needed (P-1 = 10, P-2 = 40, P-3 = 60, P-4 = 20, P-5 = 20, and P-6

 

= 30). Each machine can produce any part for which a cost is

 

listed, but has a maximum monthly output of parts (M-1 = 80, M-2

 

= 30, and M-3 = 160). It does not cost the same amount to make

 

the same part on different machines (the parts manufacturing cost

 

for each part on each machine is given later in this document).

 

How many of each part should be produced on each machine?

 

2. Tree Top Airways has a cargo plane with three compartments for

 

storage: front, center and rear. The weight and space limits for

 

these compartments are listed in a table later in this document. To

 

maintain proper operating characteristics, the loaded weights of the

 

compartments must each be in the same relationship as their

 

respective weight capacities. Four cargos, which may be mixed,

 

are available for shipment on the next flight. These cargos, with

 

their total weights, volume per ton, and profit per ton are listed in

 

another table later in this document. How much cargo can be

 

carried safely for the maximum total profit?

 

3. The CFO of your company has determined that the firm?s capital

 

investment budget will be limited to $3,000,000 for the upcoming

 

year. Unfortunately, this amount is not sufficient to cover all of

 

the proposed projects under consideration at the firm. Each

 

potential project is labeled with a single letter (A-J). The

 

calculated values (NPV) for each project, in order are: $72,658 ;

 

$36,418 ; $212,150 ; $70,925 ; $11,400 ; $56,842 ; $93,600 ;

 

$65,350 ; $48,842 ; and $39,815. The initial investment required

 

for each respective project: $628,200 ; $352,100 ; $1,245,600 ;

 


 

$814,300 ; $124,500 ; $958,000 ; $2,356,400 ; $226,900 ;

 

$1,650,000 ; and $714,650. The projects require supervision (A-J:

 

13, 15, 8, 6, 24, 10, 5, 9, 3, and 11 resource months respectively)

 

and there are a total of 50 resources months of supervision

 

available across all of these projects. We are also informed that

 

projects A, D, and H are mutually exclusive. Which projects

 

should be selected for action in the current budget cycle?

 


 

Tables

 


 

SMO production costs (rows are machines, columns are part types)

 

M-1

 

M-2

 

M-3

 


 

P-1

 

3

 

4

 

2

 


 

P-2

 

3

 

1

 

2

 


 

P-3

 

2

 

1

 

5

 


 

P-4

 

5

 

2

 

1

 


 

P-5

 

2

 

2

 

1

 


 

TTA Freight Compartment Specifications

 

Compartment

 

Front

 

Center

 

Rear

 


 

Max Wt (t)

 

10

 

16

 

8

 


 

Max Vol (m3)

 

6800

 

8700

 

5300

 


 

TTA Available Cargo Specifications

 

Cargo

 

1

 

2

 

3

 

4

 


 

Wt (t)

 

18

 

15

 

23

 

12

 


 

Vol/t (m3)

 

480

 

650

 

580

 

390

 


 

Profit/t

 

310

 

380

 

350

 

285

 


 

P-6

 

1

 

1

 

2

 


 

 


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