The cost function for manufacturing electric drills is estimated to be: C(x): 4x². = - 6x + 784. Where C(x) is in dollars, and x is drills manufactured per hour. The average cost function is defined by AC = (a) Find the average cost function. 784 AC = 4x −6+ X C(x). X (b) What is the average cost (to the nearest penny) of producing 5 drills per hour? $ 170.8 per drill. (c) What is the average cost (to the nearest penny) of producing 12 drills per hour? $ 107.33 (d) Using Excel, find the number of drills per hour that should be produced to minimize average cost. drills per hour (e) What is the minimum average cost to the nearest penny? $ per drill per drill

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter8: Linear Functions
Section8.7: Function Notation
Problem 44E
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The cost function for manufacturing electric drills is estimated to be:
C(x) = 4x² - 6x + 784.
Where C(x) is in dollars, and x is drills manufactured per hour.
The average cost function is defined by AC =
(a) Find the average cost function.
784
AC = 4x −6+
X
C(x).
X
(b) What is the average cost (to the nearest penny) of producing 5 drills per hour?
$ 170.8
per drill.
(c) What is the average cost (to the nearest penny) of producing 12 drills per hour? $ 107.33
(d) Using Excel, find the number of drills per hour that should be produced to minimize average cost.
drills per hour
(e) What is the minimum average cost to the nearest penny? $
per drill
per drill
Transcribed Image Text:The cost function for manufacturing electric drills is estimated to be: C(x) = 4x² - 6x + 784. Where C(x) is in dollars, and x is drills manufactured per hour. The average cost function is defined by AC = (a) Find the average cost function. 784 AC = 4x −6+ X C(x). X (b) What is the average cost (to the nearest penny) of producing 5 drills per hour? $ 170.8 per drill. (c) What is the average cost (to the nearest penny) of producing 12 drills per hour? $ 107.33 (d) Using Excel, find the number of drills per hour that should be produced to minimize average cost. drills per hour (e) What is the minimum average cost to the nearest penny? $ per drill per drill
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