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.

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