00:01
Hello, it is given that a farmer has 70 acres of land on which he wants to plant or farm potatoes and corn.
00:13
Potatoes cost, the potato seed costs $20 per acre and corn seed costs $60 per acre in the profit and he has set aside $3 ,000 to spend on seed.
00:46
The profit per acre of potatoes is $150 and profit per acre of corn is $50 per acre and we have to model this problem.
01:12
Okay.
01:13
So first thing is let us choose the variables.
01:16
Let x be the acres, the number of acres which are planted with potato, which are planted with potato and y be the number of acres which are planted with corn.
02:01
On this, yeah, on corn, then our, the given problem is that x has to be greater than equal to zero and y has to be greater than equal to zero.
02:19
This is the first set of inequalities.
02:22
The second condition is that the total land it has is 70 acres.
02:34
So we must have that x plus y should be less than equal to 70 and should be greater than equal to zero.
02:45
This is another condition.
02:47
The third condition is the cost of seed is so the cost if he chooses to plant x acres with potatoes and y acres with corn, then the cost of seed is 20x plus 60y.
03:17
These many dollars.
03:19
So let us omit the dollar sign when writing the inequalities...