Part 1. Optimization DIRECTIONS: Read each problem carefully and solve it by showing your complete solution. 2. Maria said that 4 and 18 are two numbers with a product of 72 and their sum is minimum. Do you agree with Maria? Prove your answer by showing your complete solution then explain your reasoning. (Nonanonymous question) * (10 Points) $ Upload file File number limit 1 Single le size limit: 10MB Allowed le types: Word, Excel, PPT, PDF. Image, Video. Audio 3. Mang Jhon is a farmer, he assumes that the length and width of the field that can maximize the area and can be enclosed using 1000 ft. of fencing materials are 480 ft. by 260 ft. Do you agree with Mang Jhon, if the fence will be built alongside of the straight stream as a fourth side of the fence? Prove your answer by showing your complete solution then explain your reasoning. (Non-anonymous question) * (10 Points) i Upload le File number limit: 1 Single le size limit 10MB Allowed le types: Word, Excel. PPT, PDF. Image, Wdeo. Audio 4.JM concludes that the maximum volume of a box that can be made from a 3 ft. by 8 ft. rectangular piece of sheet metal by cutting out squares of equal size form the four corners and bending up the sides is 190/27 cubic ft. Do you agree with JM? Prove your answer by showing your complete solution then explain your reasoning. (Non-anonymous question) * (10 Points) i Upload file