Use Simplex Method

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 Hanks are $0.35, $0.40, and $0.50, respectively. The following resources are available: 60 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.

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 Hanks are $0.35, $0.40, and $0.50, respectively. The following resources are available: 60 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