MAT 540 | nursingwritinghelp.org

Thesis | Operations Management homework helpJuly 13, 2021Essay – Nursing Experts HelpJuly 13, 2021

As result of a recently passed bill, a congressman’sdistrict has been allocated $3 million for programs and projects. It is up tothe congressman to decide how to distribute the money. The congressman hasdecide to allocate the money to four ongoing programs because of theirimportance to his district- a job training program, a parks project, asanitation project, and a mobile library. However, the congressman wants todistribute the money in a manner that will please the most voters, or, in otherwords, gain him the most votes in the upcoming election. His staff’s estimatesof the number of votes gained per dollar spent for the various programs are asfollows.

Program

Votes/Dollar

Jobtraining

0.03

Parks

0.08

Sanitation

0.05

Mobile library

0.03

In order also to satisfy several local influential citizens who financedhis election, he is obligated to observe the following guidelines:

None of the programs can receive more than 30%of the total allocation
The amount allocated to parks cannot exceed thetotal allocated to both the sanitation project and the mobile library.
The amount allocated to job training must atleast equal the amount spent on the sanitation project.

Any money not spent in the district will be returned to the government;therefore, the congressman wants to spend it all. Thee congressman wants toknow the amount to allocate to each program to maximize his votes.

Formulatea linear programming model for this problem.

Solve the model by using the computer.

Anna Broderick is the dietician for the StateUniversity football team, and she is attempting to determine a nutritious lunchmenu for the team. She has set the following nutritional guidelines for eachlunch serving:
Between 1,300 and 2,100 calories
At least 4 mg of iron
At least 15 but no more than 55g of fat
At least 30g ofprotein
At least 60g ofcarbohydrates
No more than 35 mg of cholesterol

She selects themenu from seven basic food items, as follows, with the nutritionalcontributions per pound and the cost as given:

 

Calories(per lb.)

Iron(mg/lb.)

Protein(g/lb.)

Carbo-hydrates(g/lb.)

Fat (g/lb.)

Cholesterol(mg/lb)

Cost ($/lb.)

Chicken

500

4.2

17

0

30

180

0.85

Fish

480

3.1

85

0

5

90

3.35

Ground beef

840

0.25

82

0

75

350

2.45

Driedbeans

590

3.2

10

30

3

0

0.85

Lettuce

40

0.4

6

0

0

0

0.70

Potatoes

450

2.25

10

70

0

0

0.45

Milk (2%)

220

0.2

16

22

10

20

0.82

The dieticianwants to select a menu to meet the nutritional guidelines while minimizing thetotal cost per serving.

Formulatea linear programming model for this problem and solve.

If a serving of each of the food items (other thanmilk) was limited to no more than a half pound, what effect would this have onthe solution?

Month

ContractedSales (units)

1

1200

2

2100

345

240030004000

Inventory carrying costs are $2 per recorder permonth. The manager does not want any inventory carried over past the fifthmonth. The manager wants to know the monthly production that will minimizetotal production and inventory costs.

Formulate a linearprogramming model for this problem.

Solve the model by using the computer.

 
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