Question

Anyone know how to do this problem?

The marginal cost of producing the xth box of light bulbs is
3 + x^2/1,000
dollars. Determine how much is added to the total cost by a change in production from x = 40 to x = 100 boxes.

Answer 1

How is marginal cost related to total cost?

Answer 2

@laylam25 Look back how I solved your recent post!

Answer 3

i didnt see whatchloropyl have done do you have the link?
any way is this correct
3 + (x^2/1,000) or maybe this is
(3 + x^2)/1,000

Answer 4

@ laylam25

Answer 5

oh this is similar to that?!

Answer 6

its actually just written just like this: 3 + x^2/1,000

Answer 7

This is actually under the chapter of the "definite integral: fundamental theorem of calculus" so I am guessing I have to incorporate that somewhere :/

Answer 8

Total Cost is Integral of Marginal Cost!
=> Integrate from 40 to 100

Answer 9

The difference between 40 and 100 boxes is the added cost!

Answer 10

total cost = integral of marginal cost
marginal cost = integral (3 + x^2/1,000) ? can you start this ? what did you get?

Answer 11

that is integral from 40 to 100

Answer 12

\[\int\limits_{49}^{100}(3+\frac{ x ^{2} }{ 1000 })dx=?\]

Answer 13

i assumed thats the correct function

Answer 14

is it
[3x+ x^3/3(1000)] from 40 to 100 =?

Answer 15

is it
[300 + (100)^3/3000]-[12+ (40)^3/3000] =?