3. Minimize P = 3x – 25y + 38 given the following constraints: y+ -44 144 - 98 < 70 12y - 6x > -36 > -6 The minimum is: at (​

3. Minimize P = 3x – 25y + 38 given the following constraints: y+ -44 144 - 98 < 70 12y - 6x > -36 > -6 The minimum is: at (​ class=

Answer :

Answer:

-118 at (-2, 6)

Step-by-step explanation:

See the attached image of the graph!  I used a piece of graph paper (and a ruler!) at first, because the graphing program I used was hard to follow in all the shading!  The "feasible region" -- I'm assuming this is a linear programming problem is inside an irregular hexagon.  I put big red dots on the corner points.  Those points are:

(2, 2), (-2, 6), (-6, 4), (-6, -1), (-2, -4), (2, -2)

Plug these coordinates into the expression P = 3x - 25y + 38  to get a value at each of the corner points.  Pick out the smallest value.

See the other attached image for those values.

Careful graphing is essential!

${teks-lihat-gambar} ivycoveredwalls
${teks-lihat-gambar} ivycoveredwalls

Other Questions