That is not enough information.
If you look at the graphic, diagonal BD (along with point E), can be moved up and down the long diagonal and the two diagonals will still have the same length. You need to state additional information.
Answer:
Mechanic 1: $55 per hour
Mechanic 2: $105 per hour
Step-by-step explanation:
Given
Represent the rate of the first mechanic with x and the second with y.
So, we have:
The total earnings is: $1850, so we have:
Required
Determine the rate of each
The equations are:
--- (1)
--- (2)
Divide (2) through by 5
--- (3)
Subtract (1) from (3)
Divide through by 2
Substitute 105 for y in (1)
Make x the subject
Substitute 105 for y
Hence:
Mechanic 1: $55 per hour
Mechanic 2: $105 per hour
W = 120 + 5(h - 30).
So, if he works 35 hours, he will earn:
120 + 5(35 - 30) = 120 + 5(5) = 120 + 25 = $145.
If he works 42 hours, he will earn:
120 + 5(42 - 30) = 120 + 5(12) = 120 + 60 = $180.
Answer:
(4,5)
Step-by-step explanation:
The "feasible region" has vertices (0,0), (7,0), (5,4), and (4,5)
P = 5x + 6y
Plug in each vertices in P and find out which give maximum value
(0,0) => P= 5(0) + 6(0) = 0
(7,0) => P= 5(7) + 6(0) = 35
(5,4) => P= 5(5) + 6(4) = 49
(4,5) => P= 5(4) + 6(5) = 50
We got maximum P=50 for vertex (4,5)
So the coordinates of the point that has the maximum value is (4,5)
Is there any more information by any chance? Like possibly a table or chart or graph?
