Question

i forgot there is 2 more parts to this question!! :(

A manufacturer of lawn mowers uses the function A(n)=(132n+75250)/n to model the average cost per lawn mower, in dollars, where n is the number of lawn mowers produced.

b. Describe the meaning of the horizontal asymptote in the context of the problem.
c. What is the minimum number of lawn mowers that must be manufactured to bring the average cost per lawn mower down to $199? Round appropriately and state the answer in a complete sentence.

Answer 1

what is the horizontal asymptote in this case?

Answer 2

132?

Answer 3

good

Answer 4

what this means is that as n gets really really large, A(n) will slowly start to approach 132

Answer 5

so if you produce a very large amount of mowers, then the average cost will start to drift towards $132

and the most important thing is that the cost will never dip below $132 because it never crosses the horizontal asymptote in this case

Answer 6

so that's like the wall that you approach, but never touch or cross

Answer 7

make sense?

Answer 8

yes... it does!:)

Answer 9

ok great

Answer 10

the next part will have you plug in A(n) = 199 and solving for n

Answer 11

A(n)=(132n+75250)/n

199=(132n+75250)/n

199n=132n+75250

...
...
...

n = ??

Answer 12

ok ill do it

Answer 13

ok

Answer 14

ugh, i think it is n=1123...if rounding up

Answer 15

tank you so much

Answer 16

I'm getting n = 1,123.1343283582 which rounds up to 1124

Answer 17

you round up to guarantee you pass the 199 mark

Answer 18

Oh yes, i thought under was better, but makes sense..thank you!!

Answer 19

normally just rounding 1,123.1343283582 would give you 1123, but it would make A(n) less than 199

so that's why you have to round up

Answer 20

yw