
2.

A company makes Virginia state flags in two sizes, large and jumbo. The
company’s profit is $4 on each large flag and $5 on each jumbo flag. The company’s
employees can make up to 850 flags each week. To meet the demand for its flags, at least twice as
many large flags as jumbo flags must be produced. If x represents the number of large flags
and y represents the number of jumbo flags manufactured in one week, which set of constraints
describes this situation?


3.

What are the vertices of the feasible region determined by the constraints , , and ?
a.  (0, 10), (0, 60), (50, 10)  c.  (10, 0), (30, 30), (60,
0)  b.  (10, 0), (10, 50), (60, 0)  d.  (10, 50), (30, 30), (60, 0) 


4.

The VBC Company makes two models of office chairs. The company’s profit is
$15 on each Model Q chair and $20 on each model R chair. To use linear programming to maximize
profit, the company’s finance officer developed this feasible region from the constraints on
the company’s resources and the pattern of demand for its products. The number of Model Q
chairs to be made each week is represented by x and y represents the number of Model R
chairs to be made each week. How many of each model should the company make each week in order to
maximize profit?
a.  150 model Q, 50 model R  c.  100 model Q, 100 model
R  b.  50 model Q, 150 model R  d.  0 model Q, 200 model R 
