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, pounds of peat moss, and pounds of fertilizer. The shop has 18 pounds of soil, 15 pounds of peat moss, and 21 pounds of fertilizer. If a package of gardening mixture sells for $3.00, and a package of potting mixture for $5.50, how many of each should the shop make to maximize the revenue? What is the maximum revenue? Complete parts (a) through (e). (a) Complete the following table. Gardening Mixture Number of packages Pounds of soil Pounds of peat moss Pounds of fertilizer Revenue per package ($) (Type an integers or decimals.) (b) Set up the corresponding linear programming problem. Maximize z= x+y (Type integers or decimals.) subject to: OA. S S X Potting Mixture 18 15 S 21 x 2 0 y 2 0 (Type expressions using x and y as the variables.) (c) Choose the correct graph of the feasible region of the system of constraints. O B. C Maximum Amount O C. O D.
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, pounds of peat moss, and pounds of fertilizer. The shop has 18 pounds of soil, 15 pounds of peat moss, and 21 pounds of fertilizer. If a package of gardening mixture sells for $3.00, and a package of potting mixture for $5.50, how many of each should the shop make to maximize the revenue? What is the maximum revenue? Complete parts (a) through (e). (a) Complete the following table. Gardening Mixture Number of packages Pounds of soil Pounds of peat moss Pounds of fertilizer Revenue per package ($) (Type an integers or decimals.) (b) Set up the corresponding linear programming problem. Maximize z= x+y (Type integers or decimals.) subject to: OA. S S X Potting Mixture 18 15 S 21 x 2 0 y 2 0 (Type expressions using x and y as the variables.) (c) Choose the correct graph of the feasible region of the system of constraints. O B. C Maximum Amount O C. O D.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Transcribed Image Text:y 2
0
(Type expressions using x and y as the variables.)
(c) Choose the correct graph of the feasible region of the system of constraints.
O A.
A =
Ⓡ
B.
(d) Evaluate the objective function at each corner point.
Corner Points
(0, 0)
Value of z
O C.
(3,6)
(0,7)
(7,4)
(9, 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 $
D.
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 18 pounds of soil, 15 pounds of peat moss, and 21 pounds of fertilizer. If a package of gardening mixture
sells for $3.00, and a package of potting mixture for $5.50, how many of each should the shop make to maximize the revenue? What is the maximum revenue? Complete parts (a) through (e).
(a) Complete the following table.
Number of packages
Pounds of soil
Gardening Mixture
Pounds of peat moss
Pounds of fertilizer
Revenue per package
($)
(Type an integers or decimals.)
(b) Set up the corresponding linear programming problem.
☐y
V
Maximize Z= X +
(Type integers or decimals.)
subject to:
A.
Ay
X
S 18
≤ 15
21
VI
Potting Mixture
X > 0
y 2 0
(Type expressions using x and y as the variables.)
(c) Choose the correct graph of the feasible region of the system of constraints.
y
B.
Maximum Amount
Ay
Ay
€
Ay
€
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