A garden shop sells two kinds of mixtures for planting. A package of gardening mixture requires 2 pounds of soil, 1 pound of peat moss, and 1 pound of fertilizer. A package of potting mixture requires 1 pound of soil, 2 pounds of peat moss, and 3 pounds of fertilizer. The shop has 16 pounds of soil, 11 pounds of peat moss, and 15 pounds of fertilizer. If a package of gardening mixture sells for $3.00, and a package of potting mixture for $5.50, how many of each should the shop make to maximize the revenue? What is the maximum revenue? Complete parts (a) through (e).
A garden shop sells two kinds of mixtures for planting. A package of gardening mixture requires 2 pounds of soil, 1 pound of peat moss, and 1 pound of fertilizer. A package of potting mixture requires 1 pound of soil, 2 pounds of peat moss, and 3 pounds of fertilizer. The shop has 16 pounds of soil, 11 pounds of peat moss, and 15 pounds of fertilizer. If a package of gardening mixture sells for $3.00, and a package of potting mixture for $5.50, how many of each should the shop make to maximize the revenue? What is the maximum revenue? Complete parts (a) through (e).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Transcribed Image Text:(d) Evaluate the objective function at each corner point.
Corner Points
(0, 0)
(3, 4)
V
(0,5)
(7,2)
(8,0)
(Type an integers or decimals.)
(e) How many packages of gardening mixture and potting mixture should the shop make to maximize the revenue? What is the maximum revenue?
The shop should make packages of the gardening mixture and packages of potting mixture for a maximum revenue of $
Value of z
Transcribed Image Text:A garden shop sells two kinds of mixtures for planting. A package of gardening mixture requires 2 pounds of soil, 1 pound of peat moss, and 1 pound of fertilizer. A package of potting mixture
requires 1 pound of soil, 2 pounds of peat moss, and 3 pounds of fertilizer. The shop has 16 pounds of soil, 11 pounds of peat moss, and 15 pounds of fertilizer. If a package of gardening mixture
sells for $3.00, and a package of potting mixture for $5.50, how many of each should the shop make to maximize the revenue? What is the maximum revenue? Complete parts (a) through (e).
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