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Genko Olive Oil Company (introduced in the Week 8 workshop) ha decided to diversify, and begin making and selling flour. It has decide to specialise in two types; bread flour and self-raising flour. Genk- would like to determine how much of each type of flour it should pro- duce each day in order to maximise its profits. The profit made or the sale of 1 kg of bread flour is $2, while the profit made on the sale of 1 kg of self-raising flour is $1.80. The company is capable of making up to a total of 200 kg of flour per day. However, due to an ongoing shortage of baking powder (a key input in the production of self-raising flour) Genko can only produce up to 150 kg of the self-raising flour per day. In addition, company management are anticipating a high demand for self-raising flour (a key ingredient in cakes and puddings) as the holiday season approaches. For this reason, they have decided that the company should produce at least twice as much self-raising flour as bread flour.

Genko Olive Oil Company (introduced in the Week 8 workshop) ha decided to diversify, and begin making and selling flour. It has decide to specialise in two types; bread flour and self-raising flour. Genk- would like to determine how much of each type of flour it should pro- duce each day in order to maximise its profits. The profit made or the sale of 1 kg of bread flour is $2, while the profit made on the sale of 1 kg of self-raising flour is $1.80. The company is capable of making up to a total of 200 kg of flour per day. However, due to an ongoing shortage of baking powder (a key input in the production of self-raising flour) Genko can only produce up to 150 kg of the self-raising flour per day. In addition, company management are anticipating a high demand for self-raising flour (a key ingredient in cakes and puddings) as the holiday season approaches. For this reason, they have decided that the company should produce at least twice as much self-raising flour as bread flour.

Advanced Engineering Mathematics
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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Algebra Genko Olive Oil Company (introduced in the Week 8 workshop) has decided to diversify, and begin making and selling flour. It has decided. to specialise in two types; bread flour and self-raising flour. Genko would like to determine how much of each type of flour it should pro- duce each day in order to maximise its profits. The profit made on the sale of 1 kg of bread flour is $2, while the profit made on the sale of 1 kg of self-raising flour is $1.80. The company is capable of making up to a total of 200 kg of flour per day. However, due to an ongoing shortage of baking powder (a key input in the production of self-raising flour) Genko can only produce up to 150 kg of the self-raising flour per day. In addition, company management are anticipating a high demand for self-raising flour (a key ingredient in cakes and puddings) as the holiday season approaches. For this reason, they have decided that. the company should produce at least twice as much self-raising flour as bread flour. (a) Formulate this problem as an optimisation problem. (b) Draw the feasible region. (c) Solve this linear optimisation problem using the graphical method.
Transcribed Image Text:Algebra Genko Olive Oil Company (introduced in the Week 8 workshop) has decided to diversify, and begin making and selling flour. It has decided. to specialise in two types; bread flour and self-raising flour. Genko would like to determine how much of each type of flour it should pro- duce each day in order to maximise its profits. The profit made on the sale of 1 kg of bread flour is $2, while the profit made on the sale of 1 kg of self-raising flour is $1.80. The company is capable of making up to a total of 200 kg of flour per day. However, due to an ongoing shortage of baking powder (a key input in the production of self-raising flour) Genko can only produce up to 150 kg of the self-raising flour per day. In addition, company management are anticipating a high demand for self-raising flour (a key ingredient in cakes and puddings) as the holiday season approaches. For this reason, they have decided that. the company should produce at least twice as much self-raising flour as bread flour. (a) Formulate this problem as an optimisation problem. (b) Draw the feasible region. (c) Solve this linear optimisation problem using the graphical method.
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