Question: The explanation of the problem is the same for all questions in this section. Jane wants to buy presents to her sister who will be

The explanation of the problem is the same for

The explanation of the problem is the same for all questions in this section. Jane wants to buy presents to her sister who will be three next month. She has the following items in mind: Item Number Item Price ($) Weight (gr) Joy from each unit of the item 1 Book 3 130 5 3 2 T-shirt 12 40 3 Shoes 20 500 6 4 2 80 2 Coloring book Doll 5 6 120 5 6 Puzzle 4 100 7 She can buy as many items as she wishes but has some limitations due to her budget and the capacity of her bag. Since there are different options for each item, she can also buy as many as each item (i.e. she can buy 3 books, 2 puzzles, etc.) She wants to maximize the total joy her sister gets from all the items bought. Let yi be a binary variable that equals 1 if item i is bought, and otherwise. Let x; be the number of item i bought. All questions below are independent. If Jane can carry up to 1500 grams with her bag, which of the following is bag capacity constraint? 130x1 + 40x2 + 500x3 + 80x4 + 120x5 + 100x6 1500 b. None of these O C 130x4 + 40x2 + 500x3 + 80x4 + 120x5 + 100x5 2 1500 ( 71 + y2 + y2 + y2 + y + ya) O d. 130y1 + 40y2 + 500y3 + 80y4 + 120y5 + 100y6 5 1500 O e 130x4 + 40x2 + 500x3 + 80x4 + 120x5 + 100x2 5 1500 (y1 + y2 + y2 + y + ys + y)

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