roblem 12. A cookie manufacturer nds that production depends on three factors: the number of units x of labor, the number of units y of capital, and the number of elves 2 working behind the scenes and conducting magic. The production P depends on these factors according to the relation P : 30x0'zyo'520'5 . It costs the company $32 per unit of labor, $32 per unit of capital, and $8 per elf. The company is required to meet a production P of 9600 boxes of cookies. What choices of x, y, and : will meet this production at the lowest possible cost