Jeannette has 180 acres of farmland for growing wheat or soybeans. Each acre of wheat requires 2 hours of labor at harvest time, and each acre of soybeans requires 1 hour of labor. She will have 240 hours of labor available at harvest time. Find the maximum profit Jeannette can make from her two crops if she can get a profit of $40 per acre for wheat and $50 per acre for soybeans.
Let x = number of acres of wheat
y = number of acres of soybeans
a. List the constraints
b. Determine the objective function. __________________
c. Graph the set of constraints. Place acres of wheat on the horizontal axis and acres of soybeans on the vertical axis.
d. Find the vertices of the feasible region.
e. How many acres of wheat and how many acres of soybeans should Jeannette plant to maximize her profit?
f. What is the maximum profit? __________________
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