Find the optimal solution for the following problem. (round your answers to 3 decimal places.)
maximize c = 9x + 7y
subject to 8x + 10y ≤ 17
11x + 12y ≤ 25
and x ≥ 0, y ≥ 0.
1. what is the optimal value of x?
2. what is the optimal value of y?
3. what is the maximum value of the objective function?

There are several ways to calculate optimal solution; one of them, is by using graphs.

The given parameters are:

See attachment for the graphs of and

From the graph, the feasible regions are:

Test these values in the objective function

So, the value of C is maximum at:

So, we have:

Read more about maximizing functions at:

link

Maximize C =

and x ≥ 0, y ≥ 0

Plot the lines on graph

So, boundary points of feasible region are (0,1.7) , (2.125,0) and (0,0)

Substitute the points in  Maximize C

At  (0,1.7)

Maximize C =

Maximize C =

At  (2.125,0)

Maximize C =

Maximize C =

At   (0,0)

Maximize C =

Maximize C =

So, Maximum value is attained at   (2.125,0)

So, the optimal value of x is 2.125

The optimal value of y is 0

The maximum value of the objective function is 19.125

in the math equation 8 x 7 = 56, the 8 and the 7 are both factors of 56, since in this lesson we will use square tiles to figure out the factors of a whole find as many different arrays as you can, but follow one important rule: all the rows must have the i can make two rows of nine, so 2 and 9 are both factors of 18.

step-by-step explanation:

whatvare the choices

step-by-step explanation: