Keith is thirteen years older then nephew William. In four years Keith will be twice as old as William. How old is William now?
1 answer:
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Answer:
Maximum = 540 at (6,14)
Minimum = 300 at (0,10) or (12,2).
Step-by-step explanation:
The given linear programming problem is
Minimize and maximize: P = 20x + 30y
Subject to constraint,
.... (1)
.... (2)
.... (3)
The related equation of given inequalities are
Table of values are:
For inequality (1).
x y
0 10
15 0
For inequality (2).
x y
0 26
13 0
For inequality (3).
x y
0 10
15 0
Pot these ordered pairs on a coordinate plane and connect them draw the corresponding related line.
Check each inequality by (0,0).
False
True
True
It means (0,0) is included in the shaded region of inequality (2) and (3), and (0,0) is not included in the shaded region of inequality (1).
From the below graph it is clear that the vertices of feasible region are (0,10), (6,14) and (12,2).
Calculate the values of objective function on vertices of feasible region.
Point P = 20x + 30y
(0,10) P = 20(0) + 30(10) = 300
(6,14) P = 20(6) + 30(14) = 540
(12,2) P = 20(12) + 30(2) = 300
It means objective function is maximum at (6,14) and minimum at (0,10) or (12,2).
Answer:
The correct option is a.
Step-by-step explanation:
The average cost function is
Where x is the number of calendars produced.
The average cost formula is
Therefore the total cost is defined b the function
Here 600 is the initial cost and the cost each unit is 2.
Initial cost is the fixed cost which occurs at zero level of productivity.
The company spends $600 on a new computer and printer before beginning the project. The option (a) is correct.