PROBLEM:An appliance manufacturer produces two models of electric fans: stand fans and desk fans. Both modelrequire fabrications and assembly work. Each stand fan uses 4.0 hours of fabrications and 2.0 hours ofassembly works and each desk fans uses 2.0 hours of fabrication and 6.0 hours of assembly. There are600 fabrication hours available per week and 480 hours of assembly. Each stand fan contributes Php400.00 to profits and each desk fans contributes Php 300.00 to profit. How many stand fans and deskfans must the manufacturer produce in order to maximize the profit?Find the solutions:5.Solve for X and Y valuesa. 1st constraintsb. 2nd constraints6. Graph7. Cost8. Final Decision

This question is related to the topic of Decision Making and this topic falls under the operations…

Answered: An appliance manufacturer produces two…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter6: Optimization Models With Integer Variables

Section: Chapter Questions

Problem 76P

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Problem: A farmer is planning to raise wheat and barley. Each acre of wheat yields a profit of $50, and each acre of barley yields a profit of $70. To sow the crop, two machines, a tractor and a tiller are rented. The tractor is available for 150 hours, and the tiller is available for 200 hours. Sowing an acre of wheat requires 4 hours of tractor time and 1 hour of tilling. Sowing an acre of barley requires 3 hours of tractor time and 2 hours of tilling. How many acres of each crop should be planted to maximize the farmer’s profit? (Let W be the number of acres of wheat to be planted, B the number of acres of barley to be planted and P the profit) (a) What is the objective function for the problem? (b) Excluding the non-negative constraint, how many constraints does the problem have? (c) What is the linear programming model of the problem?
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Optimization Problem: Emesto is to plant a garden with two types of tree: palms and conifers. He is to plant at least 10, but not more than 80 palms. He is to plant at least 5, but not more than 40 conifers. He cannot plant more than 100 trees in total. Each palm needs 20 litres of water each day and each conifer needs 60 litres of water each day. There are 3000 litres of water available each day. Ernesto makes a profit of €2 on each palm and €1 on each conifer that he plants and he wishes to maximise his profit. Emesto plants x palms and y conifers.
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