Resource Allocation Solve using the SIMPLEX Method. Arctic Juice Company makes three juice blends: PineOrange, using 2 portions of pineapple juice and 2 portions of orange juice per gallon; PineKiwi, using 3 portions of pineapple juice and 1 portion of kiwi juiceper gallon; and OrangeKiwi, using 3 portions of orange juice and 1 portion of kiwi juice per gallon. Each day the company has 900 portions of pineapple juice, 450 portions of orange juice, and 250 portions of kiwi juice available. Its profit on PineOrange is $1 per gallon,its profit on PineKiwi is $2 per gallon, and its profit on OrangeKiwi is $1 per gallon. How many gallons of each blend should it make each day to maximize profit?PineOrangegalgalPineKiwiOrangeKiwigalWhat is the largest possible profit the company can make?$

Profit 1 2 1 Juice Pine Orange Pine Kiwi Orange Kiwi Availability Decision variable x1 x2 x3…

Answered: Resource Allocation Solve using 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 company produces three types of bookcases: Standard, Deluxe, and Premium. Each bookcase must be sanded, assembled and painted. The Standard model requires 1 hour to sand, 2 hours to assemble, and 1 hour to paint. The Deluxe model requires 2 hours to sand, 3 hours to assemble and 1 hour to paint. The Premium model requires 1 hour to sand, 4 hours to assemble and 2 hours to paint. There are 170 hours available for sanding, 320 hours for assembling and 130 hours for painting. How many of each product can be made? Solve using cramers rule. a. wriite the system of equations for this information. identify variables b. write and label each of the four determinants, do not evaluate. c. solve for only the first variable in the system. use co-factors and minors to solve the d determinant. label the answer
As part of a weight reduction program, a man designs a monthly exercise program consisting of bicycling, jogging, and swimming. He would like to exercise at most 32 hours, devote at most 2 hours to swimming, and jog for no more than the total number of hours bicycling and swimming. The calories burned per hour by bicycling, jogging, and swimming are 200, 573, and 257, respectively. How many hours should be allotted to each activity to maximize the number of calories burned? If he loses 1 pound of weight for each 3,500 calories burned, how many pounds will he lose each month exercising? How many hours should be allotted to each activity to maximize the number of calories burned? hours for swimming hours for bicycling hours for jogging C
You run a volunteer organization to help clean up local parks. You have 108 volunteers to assign to jobs in 6 different parks. The two medium-sized parks require half as many volunteers as the one largest park. The two small parks require half as many as the medium-sized parks. And one very small park requires only one-fifth the volunteers that the largest park requires. How many volunteers should be sent to each park?
As part of a weight reduction program, a man designs a monthly exercise program consisting of bicycling, jogging, and swimming. He would like to exercise at most 36 hours, devote at most 4 hours to swimming, and jog for no more than the total number of hours bicycling and swimming. The calories burned by this person per hour by bicycling, jogging, and swimming are 200, 694, and 256, respectively. How many hours should be allotted to each activity to maximize the number of calories burned? What is the maximum number of calories he will burn? (Hint: Write the constraint involving jogging in the form ≤0.) Let x, be the number of hours spent bicycling, let x₂ be the number of hours spent jogging, and let x3 be the number of hours spent swimming. What is the objective function? z = x₁ + x₂ + x3 22/11
Megan runs a bakery that sells two kinds of cookies. Megan knows the bakery must make at least 43 and at most 76 batches of the Mint Breezes. The bakery must also make between 8 and 39 batches of the Chocolate Decadence. The batches of Mint Breezes take 13 ounces of flour, while batches of Chocolate Decadence require 19 ounces of flour. The bakery only has 1482 ounces of flour available. If batches of Mint Breezes generate $2.09 in revenue, and batches of Chocolate Decadence generate $1.06, how many batches of the cookies should Megan have the bakery make to get the most revenue? Mint Breezes: Chocolate Decadence: Best revenue:
A total of 230 patients are treated by three nurses: Justin, Justin and Chad. Justin treated 13 more patients than Justin and Chad 11 patients less than Justin. Calculate the number of patients treated by each nurse. Justin: E patients Justin: E patients Chad: E patients
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