Find the minimum value of C=2x+y subject to the following constraints: Please help me!!
1 answer:
Answer:
The minimum value of C is 20
Step-by-step explanation:
we have
----> constraint A
----> constraint B
----> constraint C
----> constraint D
Using a graphing tool
The solution set of the constraints is the shaded area
see the attached figure
The vertices of the shaded area are (0,38),(9,2) and (12,0)
To determine the minimum value of C substitute the values of x and y of each vertex in the objective function and then compare the results
For (0,38) --->
For (9,2) --->
For (12,0) --->
therefore
The minimum value of C is 20
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Answer:
Part 1) The number of minutes in a month must be greater than 50 in order for the plan A to be preferable
Part 2) The number of minutes in a month must be equal to 50 minutes
Step-by-step explanation:
<u><em>The question is</em></u>
Part 1) How many minutes would Kendra have to use in a month in order for the plan A to be preferable? Round your answer to the nearest minute
Part 2) Enter the number of minutes where Kendra will pay the same amount for each long distance phone plan
Part 1)
Let
x ---> the number of minutes
we have
<em>Cost Plan A</em>
<em>Cost Plan B</em>
we know that
In order for plan A to be cheaper than plan B, the following inequality must hold true.
cost of plan A < cost of plan B
substitute
solve for x
subtract 3x both sides
divide by 2 both sides
Rewrite
therefore
The number of minutes in a month must be greater than 50 in order for the plan A to be preferable
Part 2)
Let
x ---> the number of minutes
we have
<em>Cost Plan A</em>
<em>Cost Plan B</em>
we know that
In order for plan A cost the same than plan B, the following equation must hold true.
cost of plan A = cost of plan B
substitute
solve for x
therefore
The number of minutes in a month must be equal to 50 minutes
This is the answer. I did it and got that. You do distributive and then combine like terms.
