read and solve

A farmer has a 320 acre farm on which she plants two crops: corn and soybeans. For each acre of corn planted, her expenses are $50 and for each acre of soybeans planted, her expenses are $100. Each acre of corn requires 100 bushels of storage and yields a Revenue Per Acre of $110; each acre of soybeans requires 40 bushels of storage and yields a Revenue Per Acre of $190. If the total amount of storage space available is 19,200 bushels and the farmer has only $20,000 on hand, how many acres of each crop should she plant in order to maximize her profit? What will her profit be if she follows this strategy? Let C= Number of Acres Planted in Corn Let S= Number of Acres Planted in Soybeans Maximize Profit = A C+ A S Subject to: profit be if she follows this strategy? Let C= Number of Acres Planted in Corn Let S= Number of Acres Planted in Soybeans A C+ A S A Land Available $ A C+$ A A C+ A S19,200 Available Storage