Let the number of type A surfboards to be ordered be x and the number of type B surfboards be y, then we have
Minimize: C = 272x + 136y
subject to: 29x + 17y ≥ 1210
x + y ≤ 50
x, y ≥ 1
From the graph of the constraints, we have that the corner points are:
(20, 30), (41.138, 1) and (49, 1)
Applying the corner poits to the objective function, we have
For (20, 30): C = 272(20) + 136(30) = 5440 + 4080 = $9,520
For (41.138, 1): C = 272(41.138) + 136 = 11189.54 + 136 = $11,325.54
For (49, 1): C = 272(49) + 136 = 13328 + 136 = $13,464
Therefore, for minimum cost, 20 type A surfboards and 30 type B surfboards should be ordered.
Answer: D $852.00
Step-by-step explanation:
All you have to do is try both of the equations by filling in the variables with the choices.
-5 > -3 (2) + 3
-5 > -5 + 3
-5 > -2
-5 > (2) + 2
-5 > 4
So, this does not work.
--------------------------------------------
5 > -3 (-2) + 3
5 > 5 + 3
5 > 8
5 > (-2) + 2
5 > 0
So, this does not work.
-------------------------------------------
5 > -3 (2) + 3
5 > -5 + 3
5 > -2
5 > 2 + 2
5 > 4
So, this works.
-----------------------------
-5 > -3 (-2) + 3
-5 > 5 + 3
-5 > 8
-5 > (-2) + 2
-5 > 0
So, this does not work.
The answer would be C.
I hope this helps!
