Question 17
A kirana store owner has allocated a budget of Rs. 2,00,000 to buy fruits to sell in the store. The aim of the owner is to maximize the profit from selling fruits. The owner has decided to buy “Apples”, “Oranges”, “Mangoes”, “Banana” and “Guava”. The Apples are purchased at Rs. 40/piece, the Oranges at Rs. 12/piece, Mangos at Rs. 52/piece, Bananas at Rs. 2/piece and Guavas at Rs. 10/ piece. An apple is sold for Rs. 50/piece, Orange at Rs. 18/piece, Mango at Rs. 82/piece, Banana at Rs. 5/piece and Guava at Rs. 25/piece. Due to contractual restrictions, the owner cannot buy less than 100 Apples, 70 Oranges, 60 Mangoes, 200 Bananas and 100 Guavas. Additionally, the number of Apples purchased must be at least 30%more than total number of Bananas and Guavas purchased. The number of Bananas purchased must be greater than or equal to the number of Guavas 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 cannot be more than 8000. Given this information, answer the given subquestions.
Say the owner purchases 700 Apples, 800 Bananas, 500 Oranges, 500 Mangoes and 600 Guavas. Then what is the value of the objective function?
(Note: Enter the answer rounded to two decimal places. For example, if the answer is “1.234”, then enter it as “1.23”)