Question: Farmers can get $2 per bushel for their potatoes on July first, and after that, the price drops by 2 cents per bushel per day. On July first, a farmer has 80 bushels of potatoes in the field and estimates that the crop is increasing at the rate of 1 bushel per day. When should the farmer harvest the potatoes to maximize revenue? Let x= the number of days following July first when the farmer should harvest. Show work, put answers in spaces provided.

Target function f(x):___ \(f(x)=160+0.4x-0.02{{x}^{2}}\) _____
Domain of f(x):_[0, 100]_____
Domain of f(x)__________
Exact value of 2nd derivative at critical value of x:___ \(x=10,\text{ }f''(10)=-0.04\) ____
Max. or Min. value of f(x)____162 (maximum)_______

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