In Mairah’s Garden shop, she makes two (2) kinds of mixtures for planting: gardening mixture and potting mixture. A package of gardening mixture requires 2kg of soil, a kilo of peat moss, and a kilo of fertilizer. A package of potting mixture requires a kilo of soil, 2kg of peat moss, and 3kg of fertilizer. She has at most 16kg of soil, 11kg of peat moss, and 15 kg of fertilizer. A package of garden mixture sells for $3 and a package of potting mixture sell for $5. Assuming all mixtures made will sell, how many packages of each type of mixture should she make to maximize revenue?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 64P
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In Mairah’s Garden shop, she makes two (2) kinds of mixtures for planting: gardening mixture
and potting mixture. A package of gardening mixture requires 2kg of soil, a kilo of peat moss,
and a kilo of fertilizer. A package of potting mixture requires a kilo of soil, 2kg of peat moss, and
3kg of fertilizer. She has at most 16kg of soil, 11kg of peat moss, and 15 kg of fertilizer. A
package of garden mixture sells for $3 and a package of potting mixture sell for $5. Assuming all
mixtures made will sell, how many packages of each type of mixture should she make to
maximize revenue?

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