The furniture company produces two kinds of rocking chairs, plain chair and fancy chair. Each rocking chair should be assembled and then finished. Plain chair takes 4 hours to assemble and 4 hours to finish. Fancy chair takes 8 hours to assemble and 12 hours to finish. Company can give at most 160 worker hours of assembling and 180 worker hours of completing per day. If profit on the plain chair is $40 and profit on the fancy chair is $65, how many rocking chairs of each type must company make per day to maximize profits and find maximum profit?

X=# of plain chair. Y=# of fancy chairs

Part 1: Determine the objective quantity?

Determine the given constraints:

1) inequality which illustrates x value is 0 or positive.

2) inequality which illustrates that y value is 0 or positive

3) Write constraint for # of assembly hours

4) Write constraint for # of finishing hours

Part 2: Draw graph and shade feasible region

part 3: compute all corner points of feasible region

Part 4: test corner points

How many rocking chairs of each type must company make per day to maximize profits and find the max profit?