QUESTION Su he an arocade tree, which grows 100 avocados ths year, 60 next year Your neighbor has an avocato troe, which grows 0 avocados this year, 150 next year. Under agreement 1 today 1 tomoLete be the number of vocados you saveUnder the optimal sving, consumpiton ths year et?QUESTION 6You have an avocado tree, which gown 100 avocados his year, 60 rext year. Your neighbor has an avocado tree, which grows 0 avocados this year, 150 next year. Under agreement "1 today 1 tomo.Ls be the nunber of avocados you saveConsumption next year c2=7

The term consumption can be understood as usage of commodities or services by household sector.…

Answered: QUESTION S u he an arocado tree, which…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter7: Nonlinear Optimization Models

Section: Chapter Questions

Problem 56P

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Q-1)A glass melting furnaces feed auto plumping machines for producing the electric lamp casing (balloon),there are two main kinds can be produced, the original and the big one, they must produce at least 25 million of the original but not accede over 35 million ,and they must produce 3 million of the big one, however the ratio of the original must be at least 5 times to the big one which make a profit double the original, producing million of the big one utilize 5% Of the available materials but the original utilize 2.5% of the available materials ,For this problem ,the objective function is: Max Z =0.5X1+2X2 O MIN Z =2X1+X2 O Max Z =2X1+2X2 O Max Z =2X1+X2
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Geoff Gullo owns a small firm that manufactures “Gullo Sunglasses.” He has the opportunity to sell a particular seasonal model to Land’s Start, a catalog retailer. Geoff offersLand’s Start two purchasing options.• Option 1: Geoff offers to set his price at $65 and agrees to credit Land’s Start $53 foreach unit Land’s Start returns to Geoff at the end of the season (because those unitsdid not sell). Because styles change each year, there is essentially no value in thereturned merchandise.• Option 2: Geoff offers a price of $55 for each unit, but returns are no longer accepted.In this case, Land’s Start throws out unsold units at the end of the season.This season’s demand for this model will be normally distributed with a mean of 200and a standard deviation of 125. Land’s Start will sell those sunglasses for $100 each.Geoff’s unit production cost is $25.a. How much would Land’s Start buy if it chose option 1? b. How much would Land’s Start buy if it chose option 2? c. Which option will…
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2. Newspaper Stand • A newspaper stand operator has the following sales data for one- year sales of Fine magazine. Quantity Sold per day No. of days quantity sold 10 36 11 54 12 72 13 90 14 108 • The operator wants to know how many copies to stock per day to get the maximum profit. Issues of the magazine sell for $0.50, and costs $0.30. Unsold copies cannot be returned to the distributor.
Problem 3-14 (Algo) Demand for stereo headphones and music players for joggers has caused Nina Industries to grow almost 50 percent over the past year. The number of joggers continues to expand, so Nina expects demand for headsets to also expand, because, as yet, no safety laws have been passed to prevent joggers from wearing them. Demand for the players for this year was as follows: MONTH DEMAND (UNITS) 4,150 4,25e 3,950 4, 350 4,95e 4,650 5,25e 4,850 5,35e 5,65e 6,25e 5,95e January February March Аpril Мay June July August September October November December a. Using linear regression analysis, what would you estimate demand to be for each month next year? Using a spreadsheet, follow the general format in Exhibit 3.8. (Do not round Intermedlate calculatlons. Round your answers to 2 decimal places.) Month Forecast January February March April May June July August September October November December b. To be reasonably confident of meeting demand, Nina decides to use 3 standard errors…
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Question 16 Refer to the table given below. As a price of $45, a Price (in dollars) of units occurs. Quantity Demanded Quantity Supplied 75 400 900 450 850 800 70 65 500 60 550 750 55 600 700 50 650 650 45 700 600 40 750 550 a) surplus; 100 b) shortage; 700 Oc) surplus; 700 O d) shortage; 100

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