PLEASE HELP DUE IN 10 MINUTES!!!!! A smartphone originally worth $790 loses value at a rate of $175 each year. Write an equation
1 answer:
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Answer:
Option D.
Step-by-step explanation:
Minimize the objective function P = 5x + 8y for the given constraints.
The related equations of above inequalities are
For ,
x y
0 5
7.5 0
Plot (0,5) and (7.5,0) and join them by straight line.
For ,
x y
0 7.5
5 0
Plot (0,7.5) and (5,0) and join them by straight line.
Check the inequalities for (0,0).
False
False
It means both lines are solid lines and shaded region for each lies opposite side of (0,0).
From the below graph it is clear that the vertices of feasible region are (0,7.5), (3,3), (7.5,0).
Point P = 5x + 8y
(0,7.5) P=5(0)+8(7.5)=60
(3,3) P=5(3)+8(3)=15+24=39
(7.5,0) P=5(7.5)+8(0)=37.5 (Minimum)
So, minimum value is 37.5.
Therefore, the correct option is D.
