Question

help please anyone good in calculus
and please explain step by step that would be really great

Answer 1

xy = 600,000 ------ (1)

Plot Area A = (x + 60)(y + 100) ----- (2)

Put y = 600,000 / x from (1) into (2)

Find dA/dx and set it to 0 and solve for x.

Answer 2

100-36000000/x^2=0
x=600,-600

Answer 3

is this good

Answer 4

A = (x + 60)(y + 100) = xy + 100x + 60y + 6000
A = 600,000 + 6000 + 100x + 60 * 600,000/x
A = 606,000 + 100x + 36,000,000/x
dA/dx = 100 - 36,000,000 / x^2 = 0

Yes, x = 600 feet is correct. Find y.

Answer 5

600000/600=1000=y

Answer 6

Put x = 600 and y = 1000 in (2) and calculate the plot area A.

Answer 7

(600+60)(1000+100)=726000=A

Answer 8

yes, square feet.

Now for the last part of the question, calculate the plot area with the dimensions they have given and find the difference with the minimum plot area.

Answer 9

(1500+60)(400+100)=780000
780000-726000=54000

Answer 10

There is a little bit of ambiguity in the last question.
What if is the other way (1500 + 100)(400+60) = 736,000?

Answer 11

736000-726000=1000

Answer 12

Yeah, but one cannot be sure how the plant is laid out. We assumed a general x and y and we got x lower than y. But in the last part they just tell you 1500 x 400 without telling the orientation. So if we assume 400 is the x and 1500 is the y we get one answer. If we assume the other way we get a different answer. They should have made it clear in the question. If I had to choose I will choose x = 400 and y = 1500 in keeping with the lower dimension of x we found via calculus.

Answer 13

yeah the last part is a confusing i think they should put the which one is which but thank u are the best i would not have gotten any where this question if i had to do it alone thank u once again

Answer 14

You are very welcome.