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Question 489762: According to data from a Texas agricultural report, the amounts of nitrogen (lb/acre), phosphate (lb/acre) and labor (hr/acre) needed to grow honeydews, yellow onions, and lettuce are given by the following table:
YELLOW
HONEYDEW ONIONS LETTUCE
NITROGEN 120 150 180
PHOSPHATE 180 80 80
LABOR 4.97 4.45 4.65
If a farmer has 220 acres, 29,100 pounds of nitrogen, 32,600 pounds of phosphate, and 1061 hours of labor available, can he use all of his resources completely? If so, how many acres should he allot for each crop?
We set up the initial equations:
120H + 150Y + 180L = 29,100
180H + 80Y + 80L = 32,600
4.97H + 4.45Y + 4.65L = 1061 OR 497H + 445Y + 465L = 106,100 (easier than decimals)
The instructor is working with systems of linear equations and matrices. We do not have a graphing calculator.
Thank you for your help!
Click here to see answer by chessace(471)  |
Question 494754: For moving purposes, the Hendersons bought 22 cardboard boxes for $98.50. There were two kinds of boxes; the large ones cost $5.50 per box, and the small ones cost $3 per box. How many boxes of each kind did they buy?
Click here to see answer by Maths68(1474)  |
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