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 “fertilizer/herbicide” constraint if the profits per acre are $75 for corn and $45 for soybeans. Round your answer to the nearest cent if necessary.