A toy company makes stuffed animals. Their biggest sellers are their bunny (b) and dog (d) characters. Based on previous sales, they know they must make between 20 and 35 bunnies each day and at least 30 dogs each day. However, they cannot make more than 75 total bunnies and dogs in one day. Each bunny costs $4 to make while the dog costs $6 to make. Which set of constraints should the company use to minimize their cost and determine how many of each type of stuffed animal they should make each day? 20 d≤ 35 b≥ 30 b+d275 C4d +6b 20 ≤ b ≤ 35 d2 30 b+d≤ 75 C=4b +6d 20 ≤ b ≤ 35 d≤ 30 b+d≤ 75 C=4b+6d 20 ≤d≤ 35 b≤ 30 b+d≤ 75 C-4d+6b

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 37P
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A toy company makes stuffed animals. Their biggest sellers are their bunny (b) and dog (d)
characters. Based on previous sales, they know they must make between 20 and 35 bunnies
each day and at least 30 dogs each day. However, they cannot make more than 75 total bunnies
and dogs in one day. Each bunny costs $4 to make while the dog costs $6 to make. Which set of
constraints should the company use to minimize their cost and determine how many of each
type of stuffed animal they should make each day?
20 < d < 35
b> 30
b+d275
C=4d +6b
20 ≤ b ≤ 35
d2 30
b+d≤ 75
C=4b +6d
20 ≤ b ≤ 35
d≤ 30
b+d≤ 75
C=4b+6d
20 ≤d≤ 35
b≤ 30
b+d≤ 75
C = 4d +6b
Transcribed Image Text:A toy company makes stuffed animals. Their biggest sellers are their bunny (b) and dog (d) characters. Based on previous sales, they know they must make between 20 and 35 bunnies each day and at least 30 dogs each day. However, they cannot make more than 75 total bunnies and dogs in one day. Each bunny costs $4 to make while the dog costs $6 to make. Which set of constraints should the company use to minimize their cost and determine how many of each type of stuffed animal they should make each day? 20 < d < 35 b> 30 b+d275 C=4d +6b 20 ≤ b ≤ 35 d2 30 b+d≤ 75 C=4b +6d 20 ≤ b ≤ 35 d≤ 30 b+d≤ 75 C=4b+6d 20 ≤d≤ 35 b≤ 30 b+d≤ 75 C = 4d +6b
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