Use technology to maximize the following. You may round answers to 2 decimal places if desired.Maximize f = 5x + 3y + 11z subject to2x + y + 3z ≤ 243x +2y+z≤ 43x + 4y + 5z ≤ 30x ≥ 0, y ≥ 0, z≥0If no solutions exist enter DNE in all answerboxes.x =y =2 =f=Submit Question1@W#3$E R%&711

As no method is mentioned, the following problem is solved using the Simplex (Big M ) method.

Answered: Use technology to maximize 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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Giant purchases bone-in short ribs for $3/lb. and boneless short ribs for $4/lb. Let p denote the price at which they sell bone-in short ribs and q the price at which they sell boneless short ribs. Suppose 2000 -150p +100q pounds of bone- in short rib are sold and 1000 + 180p -120q pounds of boneless short rib are sold. Determine the prices that Giant should set to maximize profit.
A company operates a fleet of delivery trucks. Study shows that gallons of fuel consumed per mile of driving, F(x), is related to the speed at which a truck is driven, x miles per hour, by the function: F(x) = k1/x +k2x; 10≤ x≤ 80, where k1 and k2 are parameters that vary somewhat from truck to truck. Now, Find and write the expression for the speed, x, that will lead o minimal fuel consumption per mile driving. What speed will provide minimal fuel consumption per mile of driving for a truck having k1 = 4.9, k2 = 0.004?
Please don't provide handwritten solution ....
Question 6 of 16 Ali, the CEO of a manufacturing company, decided to expand the product offering of his business to include the manufacture of a specific model automotive unit. To include this product, his business would incur fixed costs of $365,000 per year and variable costs of $6 per unit. He plans to sell each unit for $88. a. Calculate the number of units he would have to manufacture to break even. Round up to the next whole number b. While manufacturing the unit, he realized that an additional fixed cost of $3,000 per year was required, and also realized that to be more competitive in the market he had to drop the selling price by 20%. What is the new break-even volume? Round up to the next whole number

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Use technology to maximize the following. Maximize f = 5x + 3y + 11z subject to 2x + y + 3z ≤ 24 3x +2y+z≤4 3x + 4y + 5z ≤ 30 x ≥ 0, y ≥ 0, z ≥0