The average manufacturing cost per unit (in hundreds of dollars) for producing x units of a product

Question

The average manufacturing cost per unit (in hundreds of dollars) for producing x units of a product is given by:
C(x) = 2x3 - 42x2 + 288x + 12, 1 ? x ? 5

At what production level will the average cost per unit be maximum?

flash243 · Answer

The acceptable range for x is 1 to 5. Calculate the values for 1 or
5

If you allow x to go beyond that range, it will be highest at an
infinite number, because the x^3 term will dominate the function at
high values.

2 - 42 + 288 + 12 = 260 (x=1)
250 - 1050 + 1440 + 12 = 652 (x=5)

Category:	Mathematics
Offered Price:	$0.99
Due Date:	27 January 2015, 18:00
Added:	16 February 2015, 18:56

Price:	0.50
Added:	16 February 2015, 18:56
Words:	63 words
Buyers:	2 people have bought this answer

The average manufacturing cost per unit (in hundreds of dollars) for producing x units of a product

Secure Payment

We let the professionals process your money

Have a similar question?