PLEASE USE CALCULUS TO SOLVE THIS, DONT USE BASIC ALGEBRA OR MATH. THIS IS A CHALLENGE BY OUR PROF. SO PLEASE FOLLOW INSTRUCTION. TO ANYONE WHO WILL NOT FOLLOW THE REQUIREMENTS, I WILL AUTOMATICALLY GIVE THUMBS DOWN. THANK YOU

Given the following information, compute the ending balances of the Materials Inventory, Work in Process Inventory, and Finished Goods Inventory accounts: Materials Inventory, beginning balance .......... $ 25,000 Work in Process Inventory, beginning balance ....... 5,750 Finished Goods Inventory, beginning balance ........ 38,000 Direct materials purchased ............... 85,000 Direct materials used .................. 74,000 Direct labor costs .................... 70,000 Overhead costs .................... 35,000 Cost of goods manufactured .............. 133,000 Cost of goods sold .................. 103,375