Andrea is ordering supplies for summer camp and notices the supplier has a special offer on four items on her list: caps, T-shirts, socks, and shoes. The supplier packaged these items for some special orders, and a number were returned that the supplier would like to move. There are three types of packages, I, II, III. I contains 5 caps, 10 pairs of socks, 2 T-shirts, and 4 pairs of shoes. II contains 5 caps, 6 pairs of socks, 3 T-shirts, and 3 pairs of shoes. III contains 4 caps, 5 pairs of socks, 6 T-shirts, and no shoes. Andrea estimates they will need up to 200 caps, up to 300 pairs of socks, up to 210 T-shirts, and up to 60 pairs of shoes. Based on the special price and their published camp fees, the camp can make a profit of $18 on each package I, $15 on each package II, and $6 on each package III. How many of each type of package should Andrea order to achieve maximum profit? A maximum profit of $______ is possible if Andrea orders 15 of package I and _______of package III, or 20 of package II and ________of package III. Andrea can also achieve maximum profit from any integer coordinate on the line segment between these two solutions.
Andrea is ordering supplies for summer camp and notices the supplier has a special offer on four items on her list: caps, T-shirts, socks, and shoes. The supplier packaged these items for some special orders, and a number were returned that the supplier would like to move. There are three types of packages, I, II, III. I contains 5 caps, 10 pairs of socks, 2 T-shirts, and 4 pairs of shoes. II contains 5 caps, 6 pairs of socks, 3 T-shirts, and 3 pairs of shoes. III contains 4 caps, 5 pairs of socks, 6 T-shirts, and no shoes. Andrea estimates they will need up to 200 caps, up to 300 pairs of socks, up to 210 T-shirts, and up to 60 pairs of shoes. Based on the special price and their published camp fees, the camp can make a profit of $18 on each package I, $15 on each package II, and $6 on each package III. How many of each type of package should Andrea order to achieve maximum profit? A maximum profit of $______ is possible if Andrea orders 15 of package I and _______of package III, or 20 of package II and ________of package III. Andrea can also achieve maximum profit from any integer coordinate on the line segment between these two solutions.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Andrea is ordering supplies for summer camp and notices the supplier has a special offer on four items on her list: caps, T-shirts, socks, and shoes. The supplier packaged these items for some special orders, and a number were returned that the supplier would like to move. There are three types of packages, I, II, III.
I contains 5 caps, 10 pairs of socks, 2 T-shirts, and 4 pairs of shoes.
II contains 5 caps, 6 pairs of socks, 3 T-shirts, and 3 pairs of shoes.
III contains 4 caps, 5 pairs of socks, 6 T-shirts, and no shoes.
II contains 5 caps, 6 pairs of socks, 3 T-shirts, and 3 pairs of shoes.
III contains 4 caps, 5 pairs of socks, 6 T-shirts, and no shoes.
Andrea estimates they will need up to 200 caps, up to 300 pairs of socks, up to 210 T-shirts, and up to 60 pairs of shoes.
Based on the special price and their published camp fees, the camp can make a profit of $18 on each package I, $15 on each package II, and $6 on each package III. How many of each type of package should Andrea order to achieve maximum profit?
A maximum profit of $______ is possible if Andrea orders 15 of package I and _______of package III, or 20 of package II and ________of package III. Andrea can also achieve maximum profit from any integer coordinate on the line segment between these two solutions.
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