Question

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Find the maximum value of
C = 6x + 2y
Subject to the following constraints:
x > 0
x < 5
y 20
4x - y 21
1941
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Answer 1

Answer:

68

Step-by-step explanation:

First, we can try to set x as big as possible. To do that, we realize that x<=5, so the biggest value possible of x is 5.

Now, we want to set y as big as possible. To do that, we need to use the fourth equation 4x-y>=1. Since x is 5, the greatest possible value of y is 19.

After checking that x and y fit the constraints, we can plug these 2 numbers in to solve for the biggest value of c;

c=6*5+2*19=30+38=68

Answer 2

Answer:

Maximum value is C = 68

Step-by-step explanation:

To solve this linear programming problem, we need to graph each inequality and focus on the region formed by each line.

We see that the maximum of the region is (5,19) so this means our maximum value of C is C = 6x + 2y = 6(5) + 2(19) = 30 + 38 = 68