A farmer can buy two types of plant food, mix A and mix B. Each cubic yard of mix A contains 20 pounds of phosphoric acid, 30 pounds of nitrogen, and 5 pounds of potash. Each cubic yard of mix B contains 10 pounds of phosphoric acid, 30 pounds of nitrogen, and 10 pounds of potash. The minimum monthly requirements are 430 pounds of phosphoric acid, 990 pounds of nitrogen, and 210 pounds of potash. If mix A costs $20 per cubic yard and mix B costs $35 per cubic yard, how many cubic yards of each mix should the farmer blend to meet the minimum monthly requirements at a minimum cost? What is this cost? If mix A costs $20 per cubic yard and mix B costs $35 per cubic yard, the farmer should blend yd³ of mix A and requirements at a minimum cost. yd³ of mix B to meet the minimum monthly The cost is $

A farmer can buy two types of plant food, mix A and mix B. Each cubic yard of mix A contains 20 pounds of phosphoric acid, 30 pounds of nitrogen, and 5 pounds of potash. Each cubic yard of mix B contains 10 pounds of phosphoric acid, 30 pounds of nitrogen, and 10 pounds of potash. The minimum monthly requirements are 430 pounds of phosphoric acid, 990 pounds of nitrogen, and 210 pounds of potash. If mix A costs $20 per cubic yard and mix B costs $35 per cubic yard, how many cubic yards of each mix should the farmer blend to meet the minimum monthly requirements at a minimum cost? What is this cost? If mix A costs $20 per cubic yard and mix B costs $35 per cubic yard, the farmer should blend yd³ of mix A and requirements at a minimum cost. yd³ of mix B to meet the minimum monthly The cost is $

Elementary Algebra

17th Edition

ISBN:9780998625713

Author:Lynn Marecek, MaryAnne Anthony-Smith

Publisher:Lynn Marecek, MaryAnne Anthony-Smith

Chapter8: Rational Expressions And Equations

Section8.7: Solve Proportion And Similar Figure Applications

Problem 8.150TI: For every 1 kilogram (kg) of a child’s weight pediatricians prescribe 15 milligrams (mg) of a fever...

See similar textbooks

Similar questions

For every 1 kilogram (kg) of a child’s weight pediatricians prescribe 15 milligrams (mg) of a fever reducer. If Isabella weighs 12 kg, how many milligrams of the fever reducer will the pediatrician prescribe?
A farmer can buy two types of plant food, mix A and mix B. Each cubic metre of mix Acontains 20 kg of phosphoric acid, 30 kg of nitrogen, and 5 kg of potash. Each cubic metre ofmix B contains 10 kg of phosphoric acid, 30 kg of nitrogen and 10 kg of potash. The minimummonthly requirements are 460 kg of phosphoric acid, 960 kg of nitrogen, and 220 kg of potash.If mix A costs E30 per cubic metre and mix B costs E35 per cubic metre, how many cubicmetres of each mix should the farmer blend to meet the minimum monthly requirements at aminimal cost? What is the cost?
Assume that each gallon of Deluxe Vanilla uses 2 quarts of milk, 2 quarts of cream, and 3 ounces of vanilla; each gallon of Regular Vanilla uses 3 quarts of milk, 1 quart(s) of cream, and 1 ounces of vanilla; and each gallon of Deluxe Chocolate uses 2.75 quarts of milk, 1.25 quarts of cream, and 5 ounces of cacao. Assume also that the shop has on hand 115 gallons of milk, 77 gallons of cream, 19 pounds of vanilla, and 25 pounds of cacao. How many gallons of each type of ice cream should the shop make to use up all of these ingredients? When you setup a system of linear equations to solve this problem, how many variables and how many equations should you have.?Number of variables: Number of equations:
A farmer can buy two types of plant food, mix A and mix B. Each cubic yard of mix A contains 20 pounds of phosphoric acid, 30 pounds of nitrogen, and 5 pounds of potash. Each cubic yard of mix B contains 10 pounds of phosphoric acid, 30 pounds of nitrogen, and 10 pounds of potash. The minimum monthly requirements are 440 pounds of phosphoric acid, 960 pounds of nitrogen, and 200 pounds of potash. If mix A costs $30 per cubic yard and mix B costs $35 per cubic yard, how many cubic yards of each mix should the farmer blend to meet the minimum monthly requirements at a minimum cost? What is this cost?
A farmer can buy two types of plant food, mix A and mix B. Each cubic yard of mix A contains 20 pounds of phosphoric acid, 30 pounds of nitrogen, and 5 pounds of potash. Each cubic yard of mix B contains 10 pounds of phosphoric acid, 30 pounds of nitrogen, and 10 pounds of potash. The minimum monthly requirements are 430 pounds of phosphoric acid, 960 pounds of nitrogen, and 220 pounds of potash. If mix A costs $20 per cubic yard and mix B costs $35 per cubic yard, how many cubic yards of each mix should the farmer blend to meet the minimum monthly requirements at a minimum cost? What is this cost? If mix A costs $20 per cubic yard and mix B costs $35 per cubic yard, the farmer should blend yd³ of mix B to meet the minimum monthly requirements at a minimum cost. yd³ of mix A and
A farmer can buy two types of plant food, mix A and mix B. Each cubic yard of mix A contains 20 pounds of phosphoric acid, 30 pounds of nitrogen, and 5 pounds of potash. Each cubic yard of mix B contains 10 pounds of phosphoric acid, 30 pounds of nitrogen, and 10 pounds of potash. The minimum monthly requirements are 430 pounds of phosphoric acid, 960 pounds of nitrogen, and 220 pounds of potash. If mix A costs $20 per cubic yard and mix B costs $40 per cubic yard, how many cubic yards of each mix should the farmer blend to meet the minimum monthly requirements at a minimum cost? What this cost? If mix A costs $20 per cubic yard and mix B costs $40 per cubic yard, the farmer should blend yd of mix A and yd of mix B to meet the minimum monthly requirements at a minimum cost. The cost is $
A farmer can buy two types of plant food, mix A and mix B. Each cubic yard of mix A contains 36 pounds of phosphoric acid, 27 pounds of nitrogen, and 9 pounds of potash. Each cubic yard of mix B contains 12 pounds of phosphoric acid, 27 pounds of nitrogen, and 24 pounds of potash. The minimum monthly requirements are 540 pounds of phosphoric acid, 810 pounds of nitrogen, and 360 pounds of potash. Find the set of feasible solutions graphically for the amounts of mix A and Ay 50- 40- mix B that can be used. 30- If x is the number of cubic yards of mix A used and y is the number of cubic yards of mix B used, write a system of linear inequalities that indicates appropriate restraints on x and y. Write an inequality for the constraint on phosphoric acid. Complete the inequality below. 20- 540 10- 10 20 30 40 30
A farmer can use three types of plant food: mix A, mix B, and mix C. The amounts (in pounds) of nitrogen, phosphoric acid, and potash in a cubic yard of each mix are given in the table. Tests performed on the soil indicate that the field needs at least 1000 pounds of potash. The tests also indicate that no more than 800 pounds of phosphoric acid should be added to the field. The farmer plans to plant a crop that requires a great deal of nitrogen. How many cubic yards of each mix should be added to the field in order to satisfy the potash and phosphoric acid requirements and maximize the amount of nitrogen? What is the maximum amount of nitrogen? Pounds per Cubic Yard A B Nitrogen Phosphoric 15 20 10 8 16 acid Potash 16 16 Construct a mathematical model in the form of a linear programming problem. Use x, to represent the cubic yards of mix A, x, to represent the cubic yards of mix B, and x3 to represent the cubic yards of mix C. Maximize P = subject to V 1000 V 800 X1, X2, X3 8 o co
A farmer can buy two types of plant food, mix A and mix B. Each cubic yard of mix A contains 36 pounds of phosphoric acid, 30 pounds of nitrogen, and 6 pounds of potash. Each cubic yard of mix B contains 9 pounds of phosphoric acid, 30 pounds of nitrogen, and 36 pounds of potash. The minimum monthly requirements are 540 pounds of phosphoric acid, 900 pounds of nitrogen, and 360 pounds of potash. Find the set of feasible solutions graphically for the amounts of mix A and mix B that can be used.