*50 points* (use this problem for Questions #3, #4 and #5)
A company produces mopeds and bicycles. It must produce at least 10 mopeds per month. The company has the equipment to produce only 60 mopeds. It also can produce only 120 bicycles. The production of mopeds and bicycles cannot exceed 160. The profit on a moped is $134 and on a bicycle $20. How many of each should be manufactured per month to maximize profit?

(Use x = mopeds; y = bicycles)

3.) State the Objective Function in the linear programming problem given
A. P = 20x + 134y
B. P = 134x + 20y
C. P = 60x + 120y
D. P = 120x + 60y

4.) Determine the vertices of the feasible region, given the constraints.

contraints
x ≥ 10
x ≤ 60
y ≤ 120
y ≥ 0
x+y ≤ 160

(select all that apply)
A. (0, 0) F. (160,0)
B. (10,120) G. (60,100)
C. (60, 0) H. (0,120)
D. (60,120) I. (40,120)
E. (10, 0) J. (10,150)

5.) How many of each product should be manufactured per month to maximize profit?
A. 60 mopeds, 120 bicycles
B. 160 mopeds, 0 bicycles
C. 60 mopeds, 100 bicycles
D. 40 mopeds, 120 bicycles

(plz show work)