Find the lowest Cost of the trausPort problembythe Vogel methodMin Z =2 XII +3 X12 + 4 X13+X21 +5X22 +2 X23X1+ X12 +X13<5X 21+ X22 t X23<15Z10メ12+X22X13+ X2325

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Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter7: Nonlinear Optimization Models

Section: Chapter Questions

Problem 49P: If a monopolist produces q units, she can charge 400 4q dollars per unit. The variable cost is 60...

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If a monopolist produces q units, she can charge 400 4q dollars per unit. The variable cost is 60 per unit. a. How can the monopolist maximize her profit? b. If the monopolist must pay a sales tax of 5% of the selling price per unit, will she increase or decrease production (relative to the situation with no sales tax)? c. Continuing part b, use SolverTable to see how a change in the sales tax affects the optimal solution. Let the sales tax vary from 0% to 8% in increments of 0.5%.
Find solution using simplex method MAX Z = 6x1 + 4x2subject tox1 + x2 ≤ 5x2 ≥ 8and x1,x2 ≥ 0
Find solution using simplex method.MAX Z = 6x1 + 4x2subject to2x1 + 3x2 ≤ 303x1 + 2x2 ≤ 24x1 + x2 ≥ 3and x1,x2 ≥ 0
2) Max Z = 2X1 + 3X2 (Don't use excel shortcut solve manually by Simplex LPP method)Sub toX1 + 2X2 ≥ 5010X1 + 20X2 ≤ 175And X1, X2 ≥ 0
Integrated Products Corporation (IPC) needs to estimate its PC sales for next year.The most recent six years of revenue data for the company’s line of XT PersonalComputers, and those of the industry, is found in the table below:Year XT PC Sales Revenue($’000,000)All Industry PC Sales Revenue($’000,000,000)1 2.4 4.62 5.9 8.63 15.5 10.74 27.8 14.85 35.9 18.56 38.1 19.4Required:A. Assuming that the sales data above are representative of sales expected nextyear, use time series regression analysis to forecast next year’s sales revenues(there is no seasonal effect).B. Perform a regression analysis between the annual sales revenues of XTPersonal Computers and all industry PC annual sales revenues. What is theforecast for next year’s sales revenue for XT Personal Computers if the estimateof next year’s industry PC sales revenues is $21.9 billion? C. Advise management at Integrated Products Corporation (IPC) which of the twosales estimates from parts A and B above they should use. Justify your…
Integrated Products Corporation (IPC) needs to estimate its PC sales for next year.The most recent six years of revenue data for the company’s line of XT PersonalComputers, and those of the industry, is found in the table below:Year XT PC Sales Revenue($’000,000)All Industry PC Sales Revenue($’000,000,000)1 2.4 4.62 5.9 8.63 15.5 10.74 27.8 14.85 35.9 18.56 38.1 19.4Required:A. Assuming that the sales data above are representative of sales expected nextyear, use time series regression analysis to forecast next year’s sales revenues(there is no seasonal effect).B. Perform a regression analysis between the annual sales revenues of XTPersonal Computers and all industry PC annual sales revenues. What is theforecast for next year’s sales revenue for XT Personal Computers if the estimateof next year’s industry PC sales revenues is $21.9 billion?
Confederate Express Service is attempting to determinehow its shipping costs for a month depend on the numberof units shipped during a month. For the last 15 months, thenumber of units shipped and total shipping cost are given inTable 24 (file Ship.xls). Units TotalMonth Shipped Shipping Cost1 300 $1,0602 400 $1,3803 500 $1,6404 200 $7405 300 $1,0606 350 $1,1907 460 $1,5208 480 $1,5809 120 $54010 760 $2,42011 580 $2,20012 340 $1,47013 120 $79014 100 $72015 500 $1,960
SOLVE THE LPP - SIMPLEX METHOD Max.: P= 30x1 + 70x2 S.t.: x1 + 2x2 ≤ 20 x1 +5x2 ≤ 35 x1 and x2 ≥ 0
Use the table below to answer the questions that follow and caculate the Expected Monetary Value(EMV) of the different outcomesDECISION TABLE WITH CONDITIONAL VALUESSTATE OF NATUREFAVORABLE OUTCOME UNFAVORABLE OUTCOMEALTERNATIVES ($) ($)Start a big Company 2,000,000 -500,000Start a small company 800,000 -200,000Build Nothing 0 0Probabilities 0.3 0.7Calculate the following The EMV Maximin criterion Maximax criterion Minimax criterion
Please show the steps by using the formula for each Salalah Methanol company management is considering three competing investment Projects Option1: Starting a unit in Sohar, Option 2: Starting a unit in Musandam and Option 3: Starting a unit in Muscat. The initialinvestment for all the projects are 11000 and the cost of capital is 4.05% Year Sohar Musandam Muscat 1 1100 2160 3225 2 3100 3260 4250 3 3800 4360 5475 4 4600 5460 6300 5 5100 6900 7000 Use the information below and help the management in choosing the most desirable Project using a. Payback period b. Discounted payback c. Net Present value d. Profitability Index. You have to suggest to the management which project to choose and why
(b) The research department of K Ltd has recommended to the marketingdepartment to launch a shampoo of three different types. The marketing manager has todecide one of the types of shampoo to be launched under the following estimated pay offsfor various levels of sales:Estimated levels of sales15, 000 10,000 5, 0001. Egg shampoo2. Clinic shampoo3. Deluxe shampoo30001000-100030003000250100010001000What will be the marketing manager’s decision ifi. Maximum criterion is applied?ii. Minimax criterion is applied? iii. Maximax criterion is applied?
Maximize P=x1+2x2+x3, Subject to: 3x1+x2+x3≤4 x1+x2+2x3≤4 x1,x2,x3≥0

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Find the lowest Cost of the tausPort Problemby the Vojel method Min Z =2 XII +3 X12+ 4 X13+X21 +5X22 +2X2 X1+ X12 +XBく5 X 21+ X22 t X23<15 12X +11人 25 Z10 X12+ X22 X13+火23