Simple math Q; really annoying me cuz I can't get it.

[CSR]

Exact Q:

For a manufacturere, the cost of making a part is $30 per unit for labor and $10 per unit for materials; overhead is fixed at $20,000 per week. If more than 5000 units are made each week, labour is $45 per unit for those units in excess of 5000. At what level of production will average cost per unit be a minimum.


Subject... Max/Min problem... i.e derivatives.

I'm annoyed b/c I can't set up the variables.

Ok math gurus... please help.

Minimize avgerage cost.

Cost of making a part is:
Labour: $30/unit
Material: $10/unit
Fixed Cost $20,000

Kicker: If more than 5000 units are made, labour is $45/unit for those units in excess of 5000.


Thanks in advance... it should be reallly simple, but I can't think straight now.

I can only get:
Avg. cost = C(x) / x
C(x) = 20000 + 10x + 30x if x between 0-5000
C(x) = 20000 + 10x + 30x + 15(x-5000) if x > 5000

But case defined functions are useless here.

[JohnB]

Why would labour increase by 50% for units 5001 and over ???

Just wondering...

But labour and material are fixed its just that FixedCost is less per unit (spread out) as you make more units...so to make the first unit it costs you $20,040 !!! then over time the FixedCost spreads out - this is the point of the problem.

What grade is this for, by the way ?

Subject... Max/Min problem... I'm annoyed b/c I can't set up the variables

Cost of making a part is:
Labour: $30/unit
Material: $10/unit
Fixed Cost $20,000

Kicker: If more than 5000 units are made, labour is $45/unit for those units in excess of 5000.


Thanks in advance... it should be reallly simple, but I can't think straight now.

I can only get:

C(x) = 20000 + 10x + 30x if 0 < x 5000

But case defined functions are useless here.

[CSR]

1st yr calc, i'm trying to help my friend... its bugging me that I can't get it.

[PlayerOne]

probalby grade 12, and would help if you post the exact question, cuz i don't think that's it

and you should check out a service that the tutoring service i work for offer

http://www.iptutoring.net/emailtut.html

for comparison, here's another tutoring website that offers similar services but more expensive

http://www.premiertutoring.com/email-tutoring.html

[zegerman]

Labour increased by 50% over 5000 units because of overtime :cheesygri

too much thinking to make it into one formula

crap .. it keeps cutting off the bottom of my post .. oh well it wasn't what the OP wanted anyways

[CSR]

I need 1 function... no conditions.

[CSR]

Labour increased by 50% over 5000 units because of overtime :cheesygri

too much thinking to make it into one formula

crap .. it keeps cutting off the bottom of my post .. oh well it wasn't what the OP wanted anyways

Ya its really annoying because you can't use angle brackets "" since it conflicts w/ the Html

[PlayerOne]

my laptop just died on me, something about dumping physical memory, took a while to find problem, anyhow, fixed now and here it's is the solution

what do i win? :cheesygri

ya it's messy, if you get help from the place i work at tho, they'll give you nice solutions, like this (http://www.iptutoring.net/images/samplequestion.jpg)

CSR's Question (http://i79.photobucket.com/albums/j136/PlayerOne/CSR.jpg)

[CSR]

my laptop just died on me, something about dumping physical memory, took a while to find problem, anyhow, fixed now and here it's is the solution

what do i win? :cheesygri

ya it's messy, if you get help from the place i work at tho, they'll give you nice solutions, like this (http://www.iptutoring.net/images/samplequestion.jpg)

CSR's Question (http://i79.photobucket.com/albums/j136/PlayerOne/CSR.jpg)


Wow, you are the man!

Thanks a bunch.

[CSR]

Hold on C(5000) should be more than 44.

[PlayerOne]

Hold on C(5000) should be more than 44.

why?

cost/unit is 30+10, flat rate is 20 000

so

[20 000 + 40(5000)]/5000

= 44

[CSR]

why?

cost/unit is 30+10, flat rate is 20 000

so

[20 000 + 40(5000)]/5000

= 44

sry you're right.