The Shredder, Inc. produces two types of paper shredders, home and office. The office model requires 5 hours to assembly and 12 finishing work units for finishing work, the home model requires 2 hours to assemble and 6 finishing work units for finishing. The maximum number of assembly hours available is 50 per day, and the maximum number of finishing hours available is 132 per day. Let
x
= the number of office model shredders produced per day and
y
= the number of home model shredders produced per day.

Write the system of inequalities that represents the maximum number of shredders that can be produced in one day.

NOTE: 4 inequalities are expected.