- Part 1 Rework problem 3 in section 1 of Chapter 7 of your textbook, about the Natural Fertilizer Company, using the following data. Assume that the company produces 100 pound sacks of 30-25-20 fertilizer for lawns and 100 pound sacks of 15-15-12 fertilizer for gardens, where the numbers are the percentage by weight of nitrate, phosphate, and potash, respectively, in each sack. Assume also that the company has on hand 12 tons of nitrate, 9 tons of phosphate, and 6 tons of potash, Assume also that the profit on each sack of lawn fertilizer is $10.00 and the profit on each sack of garden fertilizer is $6.00. How many sacks of each type of fertilizer should the company make in order maximize its profit? When you formulate a linear programming problem to solve this problem, how many variables, how many constraints (both implicit and explicit), and how many objective functions should you have? Number of variables: 2 Number of constraints: 5 Number of objective functions: 1 • Part 2 - Part 3 Formulate the linear programming problem for this situation. (Enter either the word Maximize or the word Minimize in the first blank. Type the symbols <= wherever you want a "less than or equal" inequality, i.e., <, and type the symbols >= wherever you what a "greater than or equal" inequality, i.e., 2.) x+ y (in dollars) subject to the constraints nitrate used (in pounds): x + phosphate used (in pounds): x + potash used (in pounds): x + నా
- Part 1 Rework problem 3 in section 1 of Chapter 7 of your textbook, about the Natural Fertilizer Company, using the following data. Assume that the company produces 100 pound sacks of 30-25-20 fertilizer for lawns and 100 pound sacks of 15-15-12 fertilizer for gardens, where the numbers are the percentage by weight of nitrate, phosphate, and potash, respectively, in each sack. Assume also that the company has on hand 12 tons of nitrate, 9 tons of phosphate, and 6 tons of potash, Assume also that the profit on each sack of lawn fertilizer is $10.00 and the profit on each sack of garden fertilizer is $6.00. How many sacks of each type of fertilizer should the company make in order maximize its profit? When you formulate a linear programming problem to solve this problem, how many variables, how many constraints (both implicit and explicit), and how many objective functions should you have? Number of variables: 2 Number of constraints: 5 Number of objective functions: 1 • Part 2 - Part 3 Formulate the linear programming problem for this situation. (Enter either the word Maximize or the word Minimize in the first blank. Type the symbols <= wherever you want a "less than or equal" inequality, i.e., <, and type the symbols >= wherever you what a "greater than or equal" inequality, i.e., 2.) x+ y (in dollars) subject to the constraints nitrate used (in pounds): x + phosphate used (in pounds): x + potash used (in pounds): x + నా
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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Transcribed Image Text:• Part 1
Rework problem 3 in section 1 of Chapter 7 of your textbook, about the Natural Fertilizer Company, using the following data. Assume that the company
produces 100 pound sacks of 30-25-20 fertilizer for lawns and 100 pound sacks of 15-15-12 fertilizer for gardens, where the numbers are the percentage by
weight of nitrate, phosphate, and potash, respectively, in each sack. Assume also that the company has on hand 12 tons of nitrate, 9 tons of phosphate, and 6
tons of potash, Assume also that the profit on each sack of lawn fertilizer is $10.00 and the profit on each sack of garden fertilizer is $6.00. How many sacks
of each type of fertilizer should the company make in order maximize its profit?
When you formulate a linear programming problem to solve this problem, how many variables, how many constraints (both implicit and explicit), and how
many objective functions should you have?
Number of variables: 2
Number of constraints: 5
Number of objective functions:
1
» Part 2
• Part 3
Formulate the linear programming problem for this situation. (Enter either the word Maximize or the word Minimize in the first blank. Type the symbols <=
wherever you want a "less than or equal" inequality, i.e., <, and type the symbols >= wherever you what a "greater than or equal" inequality, i.e., 2.)
x+
y (in dollars)
subject to the constraints
nitrate used (in pounds):
出
phosphate used (in pounds):
出
x +
potash used (in pounds):
x +
నా
నా
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