Title: Table 10 and Table 11
1Unit 2
2Table 10
- Table 10 is the labor available
- It is developed by taking information in the
data you are given and organizing it to find
labor for each period of the year. - You may use monthly labor, or you may combine it
into 2-month periods.
3From the Data (example)
4Table 10 Labor Force
Table 10 organizes the basic data into a
readable format.
5Table 10 a Labor Available
Based on approximate number of weeks in the
month. Numbers will not quite add up to 52 weeks.
6Alternative Table 10 A
Here, Ive divided the year into 6 periods. 52
weeks/12 8.6666. So sometimes I rounded to
8.67, sometimes to 8.66 to make it add up to 52.
7Simple LP Example
There are 5 possible enterprises on the farm
corn, soybeans, cotton, peanuts and
cow-calf. Enterprise budgets for these
three crops are available from ACES. They have
been modified, using Table 9 (previous notes.)
8Table 9
9Restrictions
- land 500 acres crop
- land 200 acres pasture
- labor from table 10a
10Putting together the tableau
- use the enterprise budgets
- the information on resource limits
- the labor requirements spreadsheet
11(No Transcript)
12(No Transcript)
13(No Transcript)
14(No Transcript)
15(No Transcript)
16Look at Gross Margins
- Negative for corn do not include in table 11
- Positive for other four enterprises include in
table 11
17Labor Requirements (on website)
18Cattle Labor Requirements
19Construct Tableau
One column for every enterprise, plus "type"
column, plus "rhs" column. One row for Objective
function and a row for each restriction
20Enter Obj Values from Budgets
Note If returns over variable costs are
negative, do not consider that enterprise!
21Enter RHS values
Labor limits come from table 10a. Land limits
from your data.
22Fill in Technical Coefficients
Table 11 is done.
23Solve it in Excel
24Using Solver
Solver is a tool inside Excel. It is not hard to
use once you figure it out. If you have Excel at
home, you may be able to add it by going to the
menu.
25Interpreting Solvers Report
Reduced Cost is the amount that net returns would
fall if one acre of an unselected enterprise were
produced. Shadow price is the amount the
objective function would increase if one more
unit of a limited resource were available.
26Notice
If an enterprise enters the solution (is selected
for the farm plan), it has no reduced cost. Only
enterprises not in the solution have a reduced
cost. If a resource is not completely used
up, it has a shadow price of 0. If you have
some resource left over, unused, you wouldn't
want to buy more of it.
27Shadow Price
Shadow price is the MVP of the limited resource.
If the MVP is greater than the cost of getting
another unit, you will want to get more of this
resource.