A gardener can purchase two types of fertilizer. A small bag of jumpstart fertilizer has 7 units of nitrogen, 3 units of phosphorus, and costs $15. A small bag of Growmore fertilizer has 9 units of nitrogen, 7 units of phosphorus, and costs $12. The farmer must make sure that his crop receives no more than 47 units of nitrogen and exactly 79 units of phosphorus. How many bags of each type of fertilizer should the farmer purchase to minimize the cost? Step 1 of 3: Write the constraint on standard form using slack, surplus, and artificial variables as needed) for the number of units of nitrogen (let x, the number of bags of jumpstart and x₂= the number of bags of Growmore). Uses, as the slack/surplus variable and a, as the artificial variable for this constraint (if they are needed). Answer Tables Keypad Keyboard Shortcuts

A gardener can purchase two types of fertilizer. A small bag of jumpstart fertilizer has 7 units of nitrogen, 3 units of phosphorus, and costs $15. A small bag of Growmore fertilizer has 9 units of nitrogen, 7 units of phosphorus, and costs $12. The farmer must make sure that his crop receives no more than 47 units of nitrogen and exactly 79 units of phosphorus. How many bags of each type of fertilizer should the farmer purchase to minimize the cost? Step 1 of 3: Write the constraint on standard form using slack, surplus, and artificial variables as needed) for the number of units of nitrogen (let x, the number of bags of jumpstart and x₂= the number of bags of Growmore). Uses, as the slack/surplus variable and a, as the artificial variable for this constraint (if they are needed). Answer Tables Keypad Keyboard Shortcuts

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter7: Systems Of Equations And Inequalities

Section7.2: Systems Of Linear Equations: Three Variables

Problem 57SE: Three coworkers work for the same employer. Their jobs are warehouse manager, office manager, and...

See similar textbooks

Similar questions

An animal shelter has a total of 350 animals comprised of cats, dogs, and rabbits. If the number of rabbits is 5 less than one-half the number of cats, and there are 20 more cats than dogs, how many of each animal are at the shelter?
Three coworkers work for the same employer. Their jobs are warehouse manager, office manager, and truck driver. The sum of the annual salaries of the warehouse manager and office manager is $82,000. The office manager makes $4,000 more than the truck driver annually. The annual salaries of the warehouse manager and the truck driver total $78,000. What is the annual salary of each of the co-workers?
Can a linear system of three equations have exactly two solutions? Explain why or why not
How can you tell when a system of three linear equations with three variables has no solution? Infinitely many solutions?
Can a system of linear equations have exactly two solutions? Explain why or why not.
Write a system of three equations in three variables with an infinite number of solutions.
Translate to a system of equations and then solve: A small jet can fly 1,325 miles in 5 hours with a tailwind but only 1,035 miles in 5 hours into a headwind. Find the speed of the jet in still air and the speed of the wind.