Mathematics problem-IIT level

JCB_india

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May 29, 2019
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A company blends two materials: A and B to produce two types of fertilizers. Fertilizer 1
must be at least 45% of A and sells for $65 per kilo gram. Fertilizer 2 must be at least
70% of B and sells for $48 per kilogram. The price of martial A is $10 per 100 kilo grams
and the price of martial B is $14 per 100 kilo grams if they purchased over 10,000 kilo
gram the price will be reduced by 10%. Total budget of the company to spend on raw
martial is $1600.
a) Write the linear optimization model for the company to make the best decision.
b) Solve the model and present the results and interpret them.
c) Rewrite the model if 10% discount only apply to the amount purchased over 10000 kilo
grams (For example if the company purchases 1001 kg of A, the total price is
1000*10+1*9).
 

Subhotosh Khan

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A company blends two materials: A and B to produce two types of fertilizers. Fertilizer 1
must be at least 45% of A and sells for $65 per kilo gram. Fertilizer 2 must be at least
70% of B and sells for $48 per kilogram. The price of martial A is $10 per 100 kilo grams
and the price of martial B is $14 per 100 kilo grams if they purchased over 10,000 kilo
gram the price will be reduced by 10%. Total budget of the company to spend on raw
martial is $1600.
a) Write the linear optimization model for the company to make the best decision.
b) Solve the model and present the results and interpret them.
c) Rewrite the model if 10% discount only apply to the amount purchased over 10000 kilo
grams (For example if the company purchases 1001 kg of A, the total price is
1000*10+1*9).
Please share your work with us - so that we know where to begin to help you.
 
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