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 1,100 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 3 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 $10 on each calculus text, $4 on each history text, and $8 on each marketing text, how many of each type of text should you purchase to maximize profit? What is the maximum profit the program can make in a semester? O a. you should purchase 600 marketing texts, no calculus texts and no history texts. The maximum profit is $6,000 per semester O b. you should purchase 600 calculus texts, no history texts and no marketing texts. The maximum profit is $6,000 per semester O c. you should purchase 700 calculus texts, 600 marketing texts and no history texts. The maximum profit is $6,000 per semester O d. you should purchase 600 calculus texts, 700 history texts and no marketing texts. The maximum profit is $6,000 per semester e. you should purchase 600 history texts, no calculus texts and no marketing texts. The maximum profit is $6,000 per 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 1,100 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 3 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 $10 on each calculus text, $4 on each history text, and $8 on each marketing text, how many of each type of text should you purchase to maximize profit? What is the maximum profit the program can make in a semester? O a. you should purchase 600 marketing texts, no calculus texts and no history texts. The maximum profit is $6,000 per semester O b. you should purchase 600 calculus texts, no history texts and no marketing texts. The maximum profit is $6,000 per semester O c. you should purchase 700 calculus texts, 600 marketing texts and no history texts. The maximum profit is $6,000 per semester O d. you should purchase 600 calculus texts, 700 history texts and no marketing texts. The maximum profit is $6,000 per semester e. you should purchase 600 history texts, no calculus texts and no marketing texts. The maximum profit is $6,000 per semester
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text: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 1,100 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 3 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 $10 on each calculus text, $4 on each history text, and $8 on each
marketing text, how many of each type of text should you purchase to maximize profit? What is the maximum
profit the program can make in a semester?
a. you should purchase 600 marketing texts, no calculus texts and no history texts. The maximum profit is
$6,000 per semester
b. you should purchase 600 calculus texts, no history texts and no marketing texts. The maximum profit is
$6,000 per semester
c. you should purchase 700 calculus texts, 600 marketing texts and no history texts. The maximum profit
is $6,000 per semester
d. you should purchase 600 calculus texts, 700 history texts and no marketing texts. The maximum profit
is $6,000 per semester
e. you should purchase 600 history texts, no calculus texts and no marketing texts. The maximum profit is
$6,000 per semester
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