00:01
Okay, so i see that you need help with this question and it says a farmer has 500 acres of arable land on which he wants to plant potatoes and corn so potatoes plus corn has to be less than or equal to the 500 acres.
00:13
The farmer has 40 ,000 available for planting and he has $30 ,000 available for fertilizing fertilizing for planting one acre of potatoes.
00:44
So planting one acre of potatoes is $90 and one acre of corn costs $50 for fertilizing it's $30 for potatoes and $80 for corn.
01:16
Okay, so for my system, i'm going to have 30 p plus 80 c has to be less than or equal to 30 ,000 and then for planting it would be 30.
01:40
Nope, not 30 90 p plus 50 c has to be less than or equal to 40 ,000.
01:53
Okay, so that's my system of inequalities for to describe the number of acres avail for the available resources my other equation.
02:04
So these are my three equations okay can a farmer plant 300 acres of potatoes and corn? so once you to graph the feasible region so what i would do here is i would get rid of a zero, and i would say okay well three plus eight three p plus eight c is less than or equal to 3 ,000 and then nine p plus five c is less than or equal to 4 ,000 and now i'm going to insert my coordinate plane and so for my coordinate plane we have oops, so we have corn and so we have corn and we have potatoes and so if i want to graph these then okay, so if i have corn and potatoes three thousand three thousand divided by eight is thirty seven point five or 375 so 375 corn...