Write the mathematical model and use Solver sensitivity analysis to answer the following question: A farm co-op has 6,001 acres available to plant with corn and soybeans. Each acre of corn requires 9 gallons of fertilizer/herbicide and 0.75 hour of labor to harvest. Each acre of soybeans requires 3 gallons of fertilizer/herbicide and 1 hour of labor to harvest. The co-op has available at most 40,500 gallons of fertilizer/herbicide and at most 5,250 hours of labor for harvesting. Find the shadow price associated with the "fertilize/herbicide" constraint if the profits per acre are $65 for corn and $45 for soybeans. Round your answer to the nearest cent if necessary. A$0.00 B$1.11 C$2.22 D$3.33 E$4.44

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Write the mathematical model and use Solver
sensitivity analysis to answer the following
question:
A farm co-op has 6,001 acres available to
plant with corn and soybeans. Each acre of
corn requires 9 gallons of fertilizer/herbicide
and 0.75 hour of labor to harvest. Each acre of
soybeans requires 3 gallons of
fertilizer/herbicide and 1 hour of labor to
harvest. The co-op has available at most
40,500 gallons of fertilizer/herbicide and at
most 5,250 hours of labor for harvesting. Find
the shadow price associated with the
"fertilize/herbicide" constraint if the profits per
acre are $65 for corn and $45 for soybeans.
Round your answer to the nearest cent if
necessary.
A$0.00
B$1.11
C$2.22
D$3.33
E$4.44
Transcribed Image Text:Write the mathematical model and use Solver sensitivity analysis to answer the following question: A farm co-op has 6,001 acres available to plant with corn and soybeans. Each acre of corn requires 9 gallons of fertilizer/herbicide and 0.75 hour of labor to harvest. Each acre of soybeans requires 3 gallons of fertilizer/herbicide and 1 hour of labor to harvest. The co-op has available at most 40,500 gallons of fertilizer/herbicide and at most 5,250 hours of labor for harvesting. Find the shadow price associated with the "fertilize/herbicide" constraint if the profits per acre are $65 for corn and $45 for soybeans. Round your answer to the nearest cent if necessary. A$0.00 B$1.11 C$2.22 D$3.33 E$4.44
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