P. Model Minimize Subject to: Z=24X + 15Y TX+ 11Y266 (C,) 16x+4Y264 (C2) X,Y20 O

Question

P. Model Minimize Subject to: Z=24X + 15Y TX+ 11Y266 (C,) 16x+4Y264 (C2) X,Y20 On the graph on right, constraints C, and C2 have been drawn. Using the point drawing tool, plot all the corner points for the feas ble area The optimum solution is: x-LI (round your response to two decimal places). Ys (round your rosponse fo two decinalplaces). Optimal solution value2+ (round your response fo two decima,places 4 8 10 12 14 16 18 20 22 24 Cick the graph, choose a tool in the palette and follow the instructions to create your graph. Sample Tests and Quizzes MacBook Air FS F6 4 5 6 7

Explanation / Answer

Feasible region is bounded by C1 & X-axis on the bottom and C2 & Y-axis on the left. It extends upto infinity.

As we see the slope of objective function is between C1 and C2, so optimal point lies on the intersection of C1 and C2.

Interesection point between C1 and C2 is obtained by applying following operation

16*C1 - 7*C2 => 16*(7X + 11Y - 66) - 7*(16X + 4Y - 64) = 0

=> 112X + 176Y - 1056 - 112X - 28Y + 448 = 0

=> 148Y = 1056 - 448

=> Y = 4.11

Substituting value of Y in C1, we get, X = 2.97

Substituting values of X and Y in objective function, we get Z = 132.97

X = 2.97

Y = 4.11

Z = 132.97

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.