This question makes an important point: the maximum point of a function may not always be found by solving f(x)=0. maximum or minimum. min. that can be found by solving f(x)=0.) Two parts of this question are multiple choice: you only get one submission attempt for those two parts. A peach orchard owner wants to maximize the amount of peaches produced by his orchard. per tree for every extra tree planted. roughly equal to 650 peaches. a. Find the function that describes the per-tree yield, Y, in terms of x. Y=Y=[ if x is no more than 35 trees per acre if x is greater than 35 trees per acre b. Find the total yield per acre, T, that results from planting x trees per acre. T=T=1 if x is no more than 35 trees per acre c. Differentiate T with respect to x dT/dx=[ if x is greater than 35 trees per acre dT/dx= if x is less than 35 trees per acre Does this derivative ever equal zero? if x is greater than 35 trees per acre Yes No d. Sketch the graph of T as x varies and hence find the value of x that maximizes the yield and the maximum value of the yield. Optimal value of x : trees per acre Maximum yield : peaches per acre Is T differentiable when x equals 35 ? Yes No