Topgrade Turf lawn seed mixture contains three types of seed: bluegrass, rye, and Bermuda. The costs per pound of the three types of seed are 23 cents, 13 cents, and 9 cents, respectively. In each batch there must be at least 25% bluegrass seed, and the amount of Bermuda must be no more than 2/3 the amount of rye. To fill current orders, the company must make at least 6000 lb of the mixture. How much of each kind of seed should the be used to minimize cost? Minimum Cost: dollars Amount of bluegrass: lbs Amount of rye: lbs Amount of Bermuda: lbs

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 5CT: A custom-blend bird seed is made by mixing two types of bird seeds costing $0.75 per pound and $1.25...
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Topgrade Turf lawn seed mixture contains three types of seed: bluegrass, rye, and Bermuda. The
costs per pound of the three types of seed are 23 cents, 13 cents, and 9 cents, respectively. In each
batch there must be at least 25% bluegrass seed, and the amount of Bermuda must be no more than
2/3 the amount of rye. To fill current orders, the company must make at least 6000 lb of the mixture.
How much of each kind of seed should the be used to minimize cost?
Minimum Cost:
dollars
Amount of bluegrass:
lbs
Amount of rye:
lbs
Amount of Bermuda:
Ibs
Transcribed Image Text:Topgrade Turf lawn seed mixture contains three types of seed: bluegrass, rye, and Bermuda. The costs per pound of the three types of seed are 23 cents, 13 cents, and 9 cents, respectively. In each batch there must be at least 25% bluegrass seed, and the amount of Bermuda must be no more than 2/3 the amount of rye. To fill current orders, the company must make at least 6000 lb of the mixture. How much of each kind of seed should the be used to minimize cost? Minimum Cost: dollars Amount of bluegrass: lbs Amount of rye: lbs Amount of Bermuda: Ibs
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