Top Posters
Since Sunday
10
s
6
a
2
1
1
1
1
1
1
1
1
New Topic  
ibkajayi4 ibkajayi4
wrote...
Posts: 98
Rep: 0 0
A month ago
A manufacturer uses raw materials to produce p products each day. Suppose that each delivery of a particular material is $d, whereas the storage of that material is x dollars per unit stored per day. (One unit is the amount required to produce one product). How much should be delivered every x days to minimize the average daily cost in the production cycle between deliveries?
Textbook 

Calculus: Early Transcendentals


Edition: 3rd
Authors:
Read 21 times
1 Reply
Replies
Answer verified by a subject expert
TarasiSusTarasiSus
wrote...
Posts: 79
Rep: 0 0
A month ago
Sign in or Sign up in seconds to unlock everything for free
More questions for this book are available here
If he asks for a delivery every x days, then he must order (px) to have enough material for that delivery cycle.  The average amount in storage is approximately one-half of the delivery amount, or . Thus, the cost of delivery and storage for each cycle is approximately
Cost per cycle = delivery costs + storage costs
Cost per cycle = d + ∙ x
We compute the average daily cost c(x) by dividing the cost per cycle by the number of days x in the cycle.
c(x) = +
We find the critical points by determining where the derivative is equal to zero.
c'(x) = - + = 0
x = ±
Therefore, an absolute minimum occurs at days.

This verified answer contains over 1730 words.
1

Related Topics

wrote...
Posts: 98
Credits: 40

A month ago
Smart ... Thanks!
wrote...
Posts: 72
Credits: 30

Yesterday
Brilliant
wrote...
Posts: 70
Credits: 40

2 hours ago
Just got PERFECT on my quiz
New Topic      
Explore
Post your homework questions and get free online help from our incredible volunteers
  140 People Browsing
 291 Signed Up Today
Related Images
 964
 31