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You are in charge of purchases at the student-run used-book supply program at your college, and you must decide how many introductory calculus, history, and marketing texts should be purchased from students for resale. Due to budget limitations, you cannot purchase more than 750 of these textbooks each semester. There are also shelf-space limitations: Calculus texts occupy 2 units of shelf space each, history books 1 unit each, and marketing texts 5 units each, and you can spare at most 1,200 units of shelf space for the texts. If the used book program makes a profit of $20 on each calculus text, $8 on each history text, and $16 on each marketing text, how many of each type of text should you purchase to maximize profit? HINT [See Example 3.] calculus text(s) history text(s) marketing text(s) What is the maximum profit the program can make in a semester? $

You are in charge of purchases at the student-run used-book supply program at your college, and you must decide how many introductory calculus, history, and marketing texts should be purchased from students for resale. Due to budget limitations, you cannot purchase more than 750 of these textbooks each semester. There are also shelf-space limitations: Calculus texts occupy 2 units of shelf space each, history books 1 unit each, and marketing texts 5 units each, and you can spare at most 1,200 units of shelf space for the texts. If the used book program makes a profit of $20 on each calculus text, $8 on each history text, and $16 on each marketing text, how many of each type of text should you purchase to maximize profit? HINT [See Example 3.] calculus text(s) history text(s) marketing text(s) What is the maximum profit the program can make in a semester? $

Practical Management Science
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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**Text for Educational Website:** --- **Title: Maximizing Profit in a Student-run Used-book Program** **Problem Statement:** You are in charge of purchases at the student-run used-book supply program at your college. Your task is to determine how many introductory calculus, history, and marketing textbooks should be purchased from students for resale. There are constraints to consider: 1. **Budget Limitations:** You cannot purchase more than 750 textbooks each semester. 2. **Shelf-space Limitations:** - Calculus texts occupy 2 units of shelf space each. - History books occupy 1 unit of shelf space each. - Marketing texts occupy 5 units of shelf space each. - You can allocate a maximum of 1,200 units of shelf space for storing these textbooks. 3. **Profit Margins:** - Each calculus text earns a profit of $20. - Each history text earns a profit of $8. - Each marketing text earns a profit of $16. **Objective:** Calculate how many of each type of textbook you should purchase to maximize profit. **Input Fields:** - Calculus text(s): [ ] - History text(s): [ ] - Marketing text(s): [ ] **Question:** What is the maximum profit the program can make in a semester? **Profit Calculation Field:** - Maximum Profit: $[ ] **Hint:** Refer to Example 3 for guidance on solving this problem effectively. ---
Transcribed Image Text:**Text for Educational Website:** --- **Title: Maximizing Profit in a Student-run Used-book Program** **Problem Statement:** You are in charge of purchases at the student-run used-book supply program at your college. Your task is to determine how many introductory calculus, history, and marketing textbooks should be purchased from students for resale. There are constraints to consider: 1. **Budget Limitations:** You cannot purchase more than 750 textbooks each semester. 2. **Shelf-space Limitations:** - Calculus texts occupy 2 units of shelf space each. - History books occupy 1 unit of shelf space each. - Marketing texts occupy 5 units of shelf space each. - You can allocate a maximum of 1,200 units of shelf space for storing these textbooks. 3. **Profit Margins:** - Each calculus text earns a profit of $20. - Each history text earns a profit of $8. - Each marketing text earns a profit of $16. **Objective:** Calculate how many of each type of textbook you should purchase to maximize profit. **Input Fields:** - Calculus text(s): [ ] - History text(s): [ ] - Marketing text(s): [ ] **Question:** What is the maximum profit the program can make in a semester? **Profit Calculation Field:** - Maximum Profit: $[ ] **Hint:** Refer to Example 3 for guidance on solving this problem effectively. ---
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