A company produces two types of Tables X and Y. Each table requires three 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

TABLE X- PARTS PRODUCTION-CONSRAINTS-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 polish.

CAPACITY CONSTRAINTS-MONTHLY-PRODUCING PARTS, ASSEMBLY AND POLISHING.

-Each month there are 7000 hours available for producing the parts,

-Each month there are 4000 hours to assemble the parts and

-Each month there are 5500 hours to polish the tables.

OBJECTIVE FUNCTION

-The profit per unit for Table Type X is $90 per unit and the profit for Table Type Y is $110.

Required

-What is the OPTIMAL number of tables of Type X and Type Y that should be made to OPTIMIZE profits monthly?

SHOW ALL WORK.