Using the Graphical and Simplex Methods;Determine what values of x and y will maximize the objective functionZ = 6x + 8ysubject to the following constraints5x + 2y < 40бх + бу < 602x + 4y < 32х2 0;B у20

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Answered: Using the Graphical and Simplex…

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 cruise line sells tickets to two kinds of passengers, luxury and economy class. Suppose that economy passengers pay $ 400 per ticket, while luxury passengers pay $ 800. The cost (in hundreds of dollars) of taking a economy passengers and y luxury passengers is though to be x² 2xy 2y² + 400 200 100 C(x, y) = 3x + 5y + + +35 Your job is to find out how many tickets of each type would lead to the maximum profit. How many ecomony passengers would lead to the highest profit? How many luxury passengers would lead to the highest profit?
Solve the following optimization model using Excel Solver. Upload the final excel file. min 2x2 + 5xz+8zy ² s.t. Attach File 8x + 16y+21z2 400 3x + 5y + 8z2 160 4z² + 5xy ≤ 600 x,y,z 20 Browse Local Files Browse Content Collection
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You are designing a cylindrical barrel that can hold 16π m3 of crude oil. Find the radius r and heighth of the barrel that uses the least amount of material possible.(Hint: The surface area of a cylinder is S = 2πr2 + h(2πr), and its volume is V = πr2h.)(a) Draw a diagram representing this situation.(b) Write the objective and constraint functions.Objective:Constraint:(c) Use the constraint function to write the objective as a function of one variable.(d) Determine the radius and height for the absolute minimum surface area
Q6: Create a model using an Algebraic Constraint block to find a solution for the non-linear equation: F(x) = 3x-2x + 6x – 8
3. The profit of a certain cellphone manufacturer can be represented by the function p(x) = -2000x² + 12000x + 126000 where p is the profit in dollars and a is the production level in thousands of units. How many units should be produced to maximize profit? What is the maximum profit?

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Using the Graphical and Simplex Methods; Determine what values of x and y will maximize the objective function Z = 6x + 8y subject to the following constraints 5x + 2y < 40 бх + 6у < 60 2x + 4y < 32 x > 0; y 2 0