Annual yield per walnut tree is fairly constant at 50 pounds per tree when number of trees per acre is 30 or fewer. For every extra tree over 30, annual yield per tree for every trees on acre reduces by 1.5 pounds due to over crowding.
a. Write total yield for the acre T, in pounds as the function of number of walnut trees peracre, x
b. find domain of T
c. find how many walnut trees should be planted in one acre to maximize total yield?