please make sure to show all your work for part d for credit thank you.

There are five injection molding machines in the molding department of a company that produces precision molded parts for the toy industry. The injection molding machines require approximately two hours at the beginning of each shift to set up all five machines. Once all five machines are setup, then production begins. Each machine produces molded parts at a rate of one every 4 minutes on average. The workforce consists of five injection molding operators (one per machine) who work the entire 8 hour shift and two setup operators who set up the machines with the help of the injection molding operators for the two hours of each morning before moving on to other work elsewhere in the plant. In the month of May, there were 22 work days. a) How many labor hours were there in the month of May for the molding department? b) How many units were produced in the month of May? c) Calculate the labor productivity ratio for May, expressed in units per labor-hour. d) Starting June 1st, process and set-up improvements were introduced. The set-up was redesigned such that it took two set-up operators only 1 hour to set up all 5 machines with the assistance of the five Machine operators, allowing for an additional hour minutes of run time each day. Also, the molding process was improved such that each machine produces parts at a rate of one every 2.0 minutes on average. What was the labor productivity index for June? What \% improvement was realized? There were 21 working days in June. Express in units / labor hour units / labor hour percent improvement