The total cost of C(x) [in dollars] incurred by Coco Co. in manufacturing X-shoes, in a given day by C(x)= -10x^2 +300X+130 (O< or equal tooX< or equal to15)
Find the avg. rate of change between 8 and 10 shoes a day
What is the rate of change of the total cost when the level of production is 10 shoes a day?
2006-07-25 05:32:09 · 2 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
The rate of change of the total cost is simply the derivative of the cost formula. That is,
ROC(x) = d C(x) / dx = -20 * x + 300.
Since ROC is linear, the average ROC is simple. It is
[ ROC(8) + ROC(10) ] / 2 = (140 + 100) / 2 = 120
If production level is 10, ROC(10) = 100.
2006-07-25 07:23:01 · answer #1 · answered by Stanyan 3 · 0⤊ 2⤋
The formula to find this would be the "slope" formula:
[c(10)-c(8)]/[10-8]
For the rate of change, you need to find the derivative at x = 10.
2006-07-25 06:21:19 · answer #2 · answered by raz 5 · 0⤊ 0⤋