Make Money Acreage
Linear Programming Problem?
A farmer has 70 acres of land available on which to grow some soybeans and some corn. The cost of cultivation per acre, the workdays needed per acre, and the profit per acre are indicated below:
Soybeans Corn Total available
Cultivation cost per acre $60 $30 $1800
Days of work per acre 3 days 4 days 120 days
Profit per acre $300 $150
As indicated in the last column, the acreage to be cultivated is limited by the amount of money available for cultivation costs and by the number of working days that can be put into this part of the business. Find the number of acres of each crop that should be planted in order to maximize the profit.
Soybeans: 24 acres
Corn: 12 acres
Cultivation cost: $1800
Days of work: 120 days
Total Profit $9000
Profit per hour = $6.25 (12 hour days) to $7.50 (10 hour days)
Risk of getting hurt, disease, rain, hail, etc. = 93%
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