1. Find all of the region's corner points:

y > 2x + 1

y -x + 4

a. (-1,-1) b. (0,0) c. (1,3) d. (2,1)

2. Find the maximum and minimum of z = 3x + 4y subject to

3x + 2y 6

x + 2y 4

x 0, y 0

a. no max, no min b. max=9, min=0 c. no max, min=9, d. no min, max=15

3. A craftswoman produces floor lamps and table lamps. Production of one floor lamp requires 75 minutes of labor, and $25 of material. Production of one table lamp

requires 50 minutes of labor, and $20 of materials. She wished to work 40 or less hours each week, and she has at most $900 for materials per week.

If her profit is $39 per floor lamp, and $33 per table lamp, how many of each should she make each week to maximize her weekly profit?

a. 15 floor lamps and 30 table lamps. b. no floor lamps and 45 table lamps c. 35 floor lamps and no table lamps d. no solution

4. Find the corner points of the region:

2x + 3y < 17

3x - y -2

a. (0,0) b. (-2,3) c. (1,5) d. (1,1)

5.Minimize z = 2x + y subject to

3x - y 12

x + y 15

x 2, y 3

a. 3.5 b. 13 c. 0 d. 10

6. Maximize z = 5x + y subject to

x - y 10

5x + 3y 75

x 0, y 0

a. 68.75 b. 0 c. 40 d. 28

7. Pete's Coffee sells two blends of coffee beans, Morning Blend (MB) and South American Blend (SAB). Morning Blend is 1/3 Mexican beans and 2/3 Colombian beans,

while South American Blend is 2/3 Mexican beans and 1/3 Colombian beans. The profit for Morning Blend is $3 per pound, while the profit for South American Blend is

$2.50 per pound. Each day the shop can obtain up to 100 pounds of Mexican beans and up to 80 pounds of Colombian beans. How many pounds of each blend should

the shop prepare each day to maximize profit?

a. 80 Ibs of MB and 100 Ibs of SAB b. 0 Ibs of MB and 180 Ibs of SAB c. 180 Ibs of MB and 0 Ibs of SAB d. 60 Ibs of MB and 120 Ibs of SAB

8. Maximize z = 4x + 3y subject to

2x + 3y 6

4x + y 6

x 0, y 0

a. 5 b. 8.4 c. 11 d. 0

9. Find the corner points for the region:

x + 2y 4

3x - 2y -12

x - y < -7

a. (0,0) and (-10/3, 11/3) b. (1, 5/3) c. (-10/3, 11/3) d. (0,0) and (1, 5/3)

10. Find the corner points of the region:

2x + 5y 70

5x + y 60

x 0, y 0

a. (0,0) b. (0,0), (12,0) c. (0,0), (0,14) d. (0,0), (0,14), (10,10), (12,0)