Find the optimal solution for the following problem. (Round your answers to 3 decimal places.) Minimize C =11x + 5y + 10zsubject to8x + 12y + 19z ≥ 68 13x + 16y + 5z ≥ 136andx ≥ 0, y ≥ 0, z ≥ 0. What is the optimal value of x?What is the optimal value of y?What is the optimal value of z?What is the minimum value of the objective function?

Here, It is LP problem that I need to solve, It is part of Operations Management LP problem is as…

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Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter6: Optimization Models With Integer Variables

Section6.3: Capital Budgeting Models

Problem 3P: Solve Problem 1 with the extra assumption that the investments can be grouped naturally as follows:...

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Find the optimal solution for the following problem. (Round your answers to 3 decimal places.)


Minimize C =	11x + 5y + 10z
subject to	8x + 12y + 19z ≥ 68
	13x + 16y + 5z ≥ 136
and	x ≥ 0, y ≥ 0, z ≥ 0.

What is the optimal value of x?

What is the optimal value of y?

What is the optimal value of z?

What is the minimum value of the objective function?

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Another way to derive a demand function is to break the market into segments and identify a low price, a medium price, and a high price. For each of these prices and market segments, we ask company experts to estimate product demand. Then we use Excels trend curve fitting capabilities to fit a quadratic function that represents that segments demand function. Finally, we add the segment demand curves to derive an aggregate demand curve. Try this procedure for pricing a candy bar. Assume the candy bar costs 0.55 to produce. The company plans to charge between 1.10 and 1.50 for this candy bar. Its marketing department estimates the demands shown in the file P07_47.xlsx (in thousands) in the three regions of the country where the candy bar will be sold. What is the profit-maximizing price, assuming that the same price will be charged in all three regions?
Solve Problem 1 with the extra assumption that the investments can be grouped naturally as follows: 14, 58, 912, 1316, and 1720. a. Find the optimal investments when at most one investment from each group can be selected. b. Find the optimal investments when at least one investment from each group must be selected. (If the budget isnt large enough to permit this, increase the budget to a larger value.)

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