Please show steps. Thank you.

The route sheet for a handle used in medical diagnostic equipment is given in the table below. Also given are the desired hourly outputs, scrap, and rework rate for each machine. Mediquip Co., Inc Part Name: Handle Prepared by SSH Oper Machine Machine Required Scrap Rework Code Code Name Output rate rate 10 2054 LATHE 103 30% 20 1987 DRILL 100 8% 30% 30 2309 MILL 120 9% 30% 40 2457 KNURL 110 12% 30% 50 4098 BUFF 120 10% 30% 5% Assuming that each machine has 90% manufacturing efficiency, determine: (1) the required input, and (2) how many machines of each type Mediquip Company, Inc., must purchase if the production rate at the lathe, drill, mill, knurl, and buff are 6, 10, 12, 15, and 18 units per hour and company operates two 8-hour shifts per day