OBLEM#1-TABLEMANUFACTURING-Profit Maximization (50 points) company produces two types of Tables X and Y. Each table requires thee steps to produce: 1. Step-One to Produce the Parts, 2. Step-Two to Assemble the parts and 3. Step-Three to Polish the table able X-PARTS PRODUCTION-Constraints-Per Table It takes 2 hours to Produce the Parts for one unit of X,1 hour to Assemble, and 2 hours to Polish. Table Y-PARTS PRODUCTION-Constraints-Per Table It takes 3 hours to Produce the Parts for one unit of Y, 2.5 hours to Assemble, and 1.5 hours to Poli Capacity Constraints-Monthly-Producing Parts, Assembly and Polishing Each month there are 7,000 hours available for producing the parts Each month there are 4,000 hours to assemble the parts and Each month there are 5,500 hours to polish the tables Obiective Function The profit per unit for Table Type X is $90 per unit and the profit for Table Type Y is S110. equired What is the OPTIMAL number of tables of Type X and Type Y that should be made to OPTIMIZE profit nonthly? HOW ALL YOUR WORK