SOLUTION: The Johnson Farm has 500 acres of land allotted for cultivating corn and wheat.
The cost of cultivating corn and wheat is $42 and $30 pre acre respectively.
Mr.Johnson has $18,60
Question 183765: The Johnson Farm has 500 acres of land allotted for cultivating corn and wheat.
The cost of cultivating corn and wheat is $42 and $30 pre acre respectively.
Mr.Johnson has $18,600 available for cultivating these corp.
If he used all the land and entire budget,how many acres of each crop should he plant? Found 2 solutions by math_il, josmiceli:Answer by math_il(6) (Show Source):
You can put this solution on YOUR website! let c = no of acres of corn and w = no of acres of wheat
using the total acres, we get
c +w =500 or w = 500-c (A)
using the cost of cultivation, we get
42c +30w = 18600
substitute the value of w from equation A
42c + 30(500-c) = 18600
42c +15000 -30c =18600
12c = 18600-15000 = 3600
c = 3600/12 = 300 acres
and use this in A , w = 500 -c = 500 -300 = 200 acres
so answer is 300 acres of corn and 200 acres of wheat
You can put this solution on YOUR website! Let = the acres of corn he should plant
Then = acres of wheat he will plant
The cost of cultivating acres of corn is
Yhe cost of cultivating acres of wheat is
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If he uses the whole budget and all the land, his cost is
300 acres should be planted in corn, and
200 acres should be planted in wheat
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