solve the following problems: (application for derivatives) 1.- determined a cost function that expresses the annual cost of purchasing, holding, and holding inventory as a function of numbers of units in an order that he sells. the cost function is: 4860 +15q+750000 9 c = annual inventory cost in dollars q = number of units ordered each time it is replenished a) determine the size of the order that minimizes the annual cost of inventory b) how much the minimum annual inventory cost is expected to be 2.- A 20-inch long piece of wire will be bent to form a frame. What is the largest area that can be folded? 3.- a tin box maker wants to use 8-by-15-inch pieces. cutting equal squares from the four corners and folding the sides. Calculate the length of the side of the square that will be cut if you want to obtain from each piece of tin an open box that has the largest possible volume 4.- From a square piece of cardboard an open box will be formed at the top. cutting a square in each corner and folding the edges, since the cardboard measures 40cm on a side, enter the dimensions of the box that will result in the maximum volume. and what is the value of said volume. 5.- If 1200 cm2 of material is available to make a box with a square base and without a lid, calculate the maximum possible volume of this box and its dimensions