### [solution] » Microsoft Word - 412LP-FarmProb-Abdu.docA farm family owns 50 acres of land & has \$ 7,000 ava

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Microsoft Word - 412LP-FarmProb-Abdu.doc

A farm family owns 50 acres of land & has \$ 7,000 available for investment every year. Its members can produce a total of 3600 worker-hr. of labor during winter months & 4100 worker-hr. during summer. The family members can also work on a neighboring farm for \$ 5/hr during the winter months and \$ 7/hr during the summer. In addition to the salary they can make from working at the neighbors farms, income may also be obtained from three crops and two types of livestock: dairy cows and laying hens. Land, investment funds & worker-hours required as well as the annual income for the crops and livestock are as follows:

A farm family owns 50 acres of land &amp; has \$ 7,000 available for investment every year.

Its members can produce a total of 3600 worker-hr. of labor during winter months &amp;

4100 worker-hr. during summer. The family members can also work on a neighboring

farm for \$ 5/hr during the winter months and \$ 7/hr during the summer. In addition to the

salary they can make from working at the neighbors farms, income may also be obtained

from three crops and two types of livestock: dairy cows and laying hens. Land,

investment funds &amp; worker-hours required as well as the annual income for the crops

and livestock are as follows:

Type of Crop or

Income

Requirements

Livestock

\$/year

Acres per Worker-hours

Cost

year

\$/year

Winter

Summer

Cows

1.5

50

30

800

1800

Hens

0

0.6

0.3

1

4

Soybeans/acre

1

15

25

60

960

Corn/acre

1

25

50

100

1400

Oats/acre

1

10

20

50

1150

The chicken house can accommodate a maximum of 120 hens, and the size of the barn

limits the herd to a maximum of 20 cows. Formulate and solve to determine how much

acreage should be planted in each of the crops and how many cows and hens should be

kept, as well as the hours worked at the neighbors farms, to maximize the net annual

income.

#### Solution details

Solution #00070166

##### [solution] » Microsoft Word - 412LP-FarmProb-Abdu.docA farm family owns 50 acres of land & has \$ 7,000 ava.zip

This paper was answered on 14-Oct-2020

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