- 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
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter5: A Survey Of Other Common Functions
Section5.3: Modeling Data With Power Functions
Problem 6E: Urban Travel Times Population of cities and driving times are related, as shown in the accompanying...
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