Find the optimal solution for the following problem.Maximize C =subject toanda. What is the optimal value of x?X4x+12y + 3z15x + 5y + 12z ≤ 756x + 2y + 8z ≤ 150x = 0, y = 0, z ≥ 0.yb. What is the optimal value of y?0Z15c. What is the optimal value of z?0

Answered: Find the optimal solution for the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A retail outlet sells two type of lawn mowers, the prices of which are p1 and p2. Find p1 and p2 so as to maximize the total revenue R, where R = 50p1 + 70p2 + 2P1P2 – 0.5p? – 2.5p, For full credit, justify that your answer maximizes the revenue.
2. Sketch out the possible solution area (shade the area). Label all corner points with an ordered pair (x,y). x+y >1 4x + 3y 0 3. The solution area in problem number 2 represents how to maximize profits for your company. Your boss wants to know ALL the possible ways to maximize profits. a. Tell me one function in the form z= Ax + By, that will produce an infinite number of ways to maximize profits. b. Write a 2 or 3 sentence summary to your boss on why the function will work. Explain it from a mathematical perspective, because your boss also took Math 12.
Maximize z = 4x1 + 17x2, subject to 4x1 + 5x2 ≤ 15 3x1 + X2 ≤ 30 X1 ≥ 0, X2 ≥ 0. X1 X2 $1 52 Z 4 5 1 0 0 15 3 1 0 1 0 30 -4 -17 0 0 1 0
Consider the problem. Then choose the appropriate response. Problem: Consider two nonnegative numbers x and y such that x+ y= 10. Maximize xY. The quantity to create a function for is xY 10. The quantity to create a function for is x + Y. The quantity to create a function for is x + y = 10. The quantity to create a function for is xy .
Solve the following optimization model using Excel Solver. Upload the final excel file. min 2x² + 5xz+8zy² s.t. 8x + 16y +21z ≥ 400 3x + 5y + 8z ≥ 160 4z² + 5xy ≤ 600 x,y,z≥0
Find the values of x and y that maximize the objective function P=3x+2yP=3x+2y for the graph. What is the maximum value?

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Find the optimal solution for the following problem. Maximize C = 4x + 12y + 3z subject to and 15x + 5y + 12z ≤ 75 6x + 2y + 8z ≤ 150 x ≥ 0, y ≥ 0, z ≥ 0. a. What is the optimal value of x?