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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.,s and type the symbols >= wherever you what a "greater than or equal" inequality, i.e., 2) maximize | 13 I z+ 11 I y (in dollars) subject to the constraints nitrate used (in pounds): 出エ+| 13 20 phosphate used (in pounds): 25 田エ+| 16 potash used (in pounds): 15 z+ 13

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.,s and type the symbols >= wherever you what a "greater than or equal" inequality, i.e., 2) maximize | 13 I z+ 11 I y (in dollars) subject to the constraints nitrate used (in pounds): 出エ+| 13 20 phosphate used (in pounds): 25 田エ+| 16 potash used (in pounds): 15 z+ 13

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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* 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., >.) 出 エ+| 11 H y (in dollars) maximize 13 subject to the constraints I >= nitrate used (in pounds): 20 出 エ+ 13 Y <= phosphate used (in pounds): 25 I z+ 16 potash used (in pounds): 15 I+| 13 Y <=
Transcribed Image Text:* 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., >.) 出 エ+| 11 H y (in dollars) maximize 13 subject to the constraints I >= nitrate used (in pounds): 20 出 エ+ 13 Y <= phosphate used (in pounds): 25 I z+ 16 potash used (in pounds): 15 I+| 13 Y <=
* 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 20-25-15 fertilizer for lawns and 100 pound sacks of 13-16-13 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, 10 tons of phosphate, and 10 tons of potash, Assume also that the profit on each sack of lawn fertilizer is $13.00 and the profit on each sack of garden fertilizer is $11.00. 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 In order to formulate the linear programming problem, what should the variables z and y be? (1) What should the variable z be? OA. the amount (in pounds) of nitrate to be used OB. the amount (in pounds) of phosphate to be used Oc the total profit (in dollars) on lawn fertilizer OD. the amount (in pounds) of potash to be used E. the number of 100 pound bags of lawn fertilizer to be made (2) What should the variable y be? OA. the total profit (in dollars) on garden fertilizer OB. the amount (in pounds) of potash to be used OC. the amount (in pounds) of nitrate to be used D. the number of 100 pound bags of garden fertilizer to be made OE. the amount (in pounds) of phosphate to be used
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 20-25-15 fertilizer for lawns and 100 pound sacks of 13-16-13 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, 10 tons of phosphate, and 10 tons of potash, Assume also that the profit on each sack of lawn fertilizer is $13.00 and the profit on each sack of garden fertilizer is $11.00. 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 In order to formulate the linear programming problem, what should the variables z and y be? (1) What should the variable z be? OA. the amount (in pounds) of nitrate to be used OB. the amount (in pounds) of phosphate to be used Oc the total profit (in dollars) on lawn fertilizer OD. the amount (in pounds) of potash to be used E. the number of 100 pound bags of lawn fertilizer to be made (2) What should the variable y be? OA. the total profit (in dollars) on garden fertilizer OB. the amount (in pounds) of potash to be used OC. the amount (in pounds) of nitrate to be used D. the number of 100 pound bags of garden fertilizer to be made OE. the amount (in pounds) of phosphate to be used
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