Question

25. A farmer plants two crops, corn and soybeans. The expenses are $6 for
each acre of corn and $12 for each acre of soybeans. Each acre of corn
requires 12 bushels of storage, and each acre of soybeans requires 16
bushels of storage. The farmer has at most 3600 bushels of storage
available and $2400 to spend on expenses. Choose variables for the
number of acres of corn and soybeans planted.
a. write four inequalities that express the conditions of the problem
b. graph the solution set of the inequalities described in part a) and state the
coordinates of the vertices of the feasible region
c. suppose that the farmer earns a profit of $24 for each acre of corn and
$48 for each acre of soybeans. Find two ways the farmer can satisfy the
conditions while maximizing the profits.

Answer 1

EACH ACRE OF CORN =12×12

=144

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