Find the absolute maximum value and absolute minimum value, if any, of the function f (z) - 2x-- 2x 3 on the interval [2, 4]22. PROFIT OF A VINEYARD Phillip, the proprietor of a vineyard, estimates that the first 10,000 bottles of wine produced this season will fetch a profit of $5/bottle. But if more than 10,000 bottles are produced, then the profit per bottle for the entire lot will drop by $0.0002 for each additional bottle sold. Assuming that at least 10,000 bottles of wine are produced and sold, what is the maximum profit?Solve the equation In(1 + z) + In(2 + z) = In(2x2 - 2).dimensions of the largest box that can be made. 8. MINIMIZING PACKAGING COSTS If an open box has a square base and a volume of 108 in. and is constructed from a tin sheet, find the dimensions of the box, assuming that a minimum amount of material is used in its construction