the answers are written below. I would like to have the step by step solution so that I can practice and understand it.

Review Package Part 2 Optimization Problems: 5. Find the exact value of the maximum volume of a cylinder if the sum of the radius of the base and the height equal to 24 cm. 2048 +1 6. If x . y= 48, determine the minimum value of x + y for positive values of x and y. 32 7. The material for the bottom of a rectangular lidless box with square base costs 3 c per cm? and for the other faces costs 2c per cm. Find the dimensions of such a box of maximum volume that can be made for $5.76. baby 8 am by Gam MacBook Pro