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Business Analytics · End Term · 24 Dec 2023 · September 2023 term · Set ADF3

Question 14: How many decision variables are present in the standard …

Question 14

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A kirana store owner has allocated a budget of Rs. 21000 to buy fruits to sell in the store. The aim of the owner is to maximize the revenue from selling fruits. The owner has decided to buy “Apples”, “Oranges”, “Mangoes” and “Banana”. The Apples are purchased at Rs. 20/piece, the Oranges at Rs. 8/piece, Mangos at Rs. 12/piece and Bananas at Rs. 2/piece. An apple is sold for Rs. 25/piece, Orange at Rs. 18/piece, Mango at Rs. 22/piece and Banana at Rs. 5/piece. Due to physical considerations, the owner cannot buy more than 800 Apples, 500 Oranges, 600 Mangoes and 700 Bananas. Additionally, the number of Apples purchased must be at least 30% more than the number of Bananas purchased. The number of Oranges purchased must be equal to the number of Mangoes purchased. Finally, total number of fruit pieces that an owner can buy is cannot be more than 2000.
Given this information, answer the given subquestions.

How many decision variables are present in the standard form of the primal for the given problem? (Note: Enter the answer rounded to two decimal places. For example, if the answer is “1.234”, then enter it as “1.23”)

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Correct answer: 4

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Question 14 of 35 in the IIT Madras BS Business Analytics (Business Analytics) End Term paper sat on 24 Dec 2023, in the September 2023 term (IIT M FOUNDATION FN EXAM FDF1 24 Dec 2023). It carries 1 mark.

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