4. The financial department of a hospital arrived at the cost function: C(x)=20x³-360x² +2300x-1000, 1≤x≤12. C(x) is the cost in thousands of dollars for handling x thousand cases per month. Determine the minimum average cost of the hospital, and give the number of cases per month needed to produce a minimum average cost. Round all answers to the nearest thousands. Draw a picture of your friendly window.
4. The financial department of a hospital arrived at the cost function: C(x)=20x³-360x² +2300x-1000, 1≤x≤12. C(x) is the cost in thousands of dollars for handling x thousand cases per month. Determine the minimum average cost of the hospital, and give the number of cases per month needed to produce a minimum average cost. Round all answers to the nearest thousands. Draw a picture of your friendly window.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.5: More Area Relationships In The Circle
Problem 30E: At the Pizza Dude restaurant, a 12-in. pizza costs 5.40 to make, and the manager wants to make at...
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Transcribed Image Text:4. The financial department of a hospital arrived at the cost function:
C(x)=20x³ -360x² +2300x-1000, 1≤x≤12. C(x) is the cost in thousands of dollars for handling x
thousand cases per month. Determine the minimum average cost of the hospital, and give the number
of cases per month needed to produce a minimum average cost. Round all answers to the nearest
thousands. Draw a picture of your friendly window.
2100
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VIEWStep 2: Calculate average cost function
VIEWStep 3: Calculate the derivative of average cost function
VIEWStep 4: Calculate the critical values
VIEWStep 5: Calculate the second derivative of average cost function
VIEWStep 6: Calculate the minimum average cost function
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