The Big Bang Novelty Company makes three basic types of noisemakers: Toot, Wheet, and Honk. The respective selling prices are $0.90, $0.75, and $1.25 per unit, respectively. Two Toots can be made per minute, and each one has a feather attached to it. Three Wheets can be made per minute; each one has two feathers and is sprinkled with one-half ounce of sequin powder. Four Honks can be made in a minute; each one has 3 feathers and one ounce of sequin powder. The manufacturing costs for Toots, Wheets, and Honks are $0.35, $0.40, and $0.50, respectively. The following resources are available: 80 hours of labor, 90 ounces of sequin powder, and 360 feathers. The management of Big Bang wants to produce at least three times as many Wheets as the combined total of Toots and Honks. How many units of each type of noisemaker should they make to maximize their total profit.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 3EQ: A florist offers three sizes of flower arrangements containing roses, daisies, and chrysanthemums....
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The Big Bang Novelty Company makes three basic types of noisemakers: Toot, Wheet, and Honk. The
respective selling prices are $0.90, $0.75, and $1.25 per unit, respectively. Two Toots can be made
per minute, and each one has a feather attached to it. Three Wheets can be made per minute; each
one has two feathers and is sprinkled with one-half ounce of sequin powder. Four Honks can be
made in a minute; each one has 3 feathers and one ounce of sequin powder. The manufacturing costs
for Toots, Wheets, and Honks are $0.35, $0.40, and $0.50, respectively. The following resources are
available: 80 hours of labor, 90 ounces of sequin powder, and 360 feathers. The management of Big
Bang wants to produce at least three times as many Wheets as the combined total of Toots and
Honks. How many units of each type of noisemaker should they make to maximize their total profit.
Transcribed Image Text:The Big Bang Novelty Company makes three basic types of noisemakers: Toot, Wheet, and Honk. The respective selling prices are $0.90, $0.75, and $1.25 per unit, respectively. Two Toots can be made per minute, and each one has a feather attached to it. Three Wheets can be made per minute; each one has two feathers and is sprinkled with one-half ounce of sequin powder. Four Honks can be made in a minute; each one has 3 feathers and one ounce of sequin powder. The manufacturing costs for Toots, Wheets, and Honks are $0.35, $0.40, and $0.50, respectively. The following resources are available: 80 hours of labor, 90 ounces of sequin powder, and 360 feathers. The management of Big Bang wants to produce at least three times as many Wheets as the combined total of Toots and Honks. How many units of each type of noisemaker should they make to maximize their total profit.
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