8:26A farmer can buy two types of plant food, mix A and mix B. Each cubic yard ofmix A contains 42 pounds of phosphoric acid, 28 pounds of nitrogen, and 4pounds of potash. Each cubic yard of mix B contains 14 pounds ofphosphoric acid, 28 pounds of nitrogen, and 10 pounds of potash. The minimummonthly requirements are 630 pounds of phosphoric acid, 840 poundsof nitrogen, and 200 pounds of potash. Find the set of feasible solutionsgraphically for the amounts of mix A and mix B that can be used.If x is the number of cubic yards of mix A used and y is the number of cubicyards of mix B used, write a system of linear inequalities that indicatesappropriate restraints on x and y. Write an inequality for the constraint onphosphoric acid. Complete the inequality below.▼630****AA...I LTEmylab.pearson.comĆАу60-50-40-30-20-10-

Given data for the plant food that farmer can buy is tabulated below Minerals per cubic yard Mix…

Answered: farmer can buy two types of plant food,…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Exponential And Logarithmic Functions

Section: Chapter Questions

Problem 22PS: In a classroom designed for 30 students, the air conditioning system can move 450 cubic feet of air...

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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?
Pediatricians prescribe 5 milliliters (ml) of acetaminophen for every 25 pounds of a child’s weight. How many milliliters of acetaminophen will the doctor prescribe for Emilia, who weighs 60 pounds?
In a classroom designed for 30 students, the air conditioning system can move 450 cubic feet of air per minute. (a) Determine the ventilation rate per child in a full classroom. (b) Estimate the air space required per child. (c) Determine the minimum number of square feet of floor space required for the room when the ceiling height is 30 feet.
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
An air conditioner manufacturer recommends that its portable units provide between 4 and 6 BTUS of cooling per cubic foot to operate most efficiently. Which statement is true? O A 16,000-BTU air conditioner meets the manufacturer recommendation for a room measuring 20 feet by 20 feet with a standard 8-foot ceiling. A 14,000-BTU air conditioner meets the manufacturer recommendation for a room measuring 10 feet by 20 feet with a standard 8-foot ceiling. O A 20,000-BTU air conditioner will be too large for a room measuring 20 feet by 40 feet with an 8-foot ceiling. O A 12,000-BTU air conditioner will be too small for a room that is 15 feet by 10 feet with a 10-foot ceiling.
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?
18) Balanced diet for an adult should contain 21% of proteins, 25% of fats and 54% of carbohydrates. If an adult needs 3200 calories from this food daily. Find in calories the amount of each of these in his daily food intake.
The amount of nitrogen (in lb/acre), phosphate (in lb/acre), and labor (in hr/acre) needed to grow honeydews, yellow onjons, and lettuce is given by the table to the right. Complete parts a and b. OA. Yes, the farmer should allot B. No, it is not possible to use all resources completely. acres for honeydew, for yellow onions, and acres for lettuce. Honeydews 120 Nitrogen Phosphate 180 Labor 5 a) If the farmer has 230 acres, 30,300 lb of nitrogen, 34,400 lb of phosphate, and 400 hours of labor, is it possible to use all resources completely? If so, how many acres should he allot for each crop? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. ⒸA. Yes, the farmer should allot acres for honeydew, OB. No, it is not possible to use all resources completely. Yellow onions 150 acres for lettuce. 80 6 Lettuce b) Suppose everything is the same as in part a, except that 1180 hours of labor are available. Is it possible to use all resources…
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Daniel is on a diet and he wants to limit his food intake to 109 g carbohydrate, 103 g fat, and 153 g calories per day. According to his food nutritionist, he should have 3 g carbohydrate, 14 g fat, and 13 g calories for breakfast; for lunch he should have 5 g carbohydrate, 7 g fat, and 15 g calories; and at dinner he should have 9 g carbohydrate, 15 g fat, and 6 g calories. What is the determinant of the given matrix in the problem?
A baker has 30 oz of flour and 5 packages of yeast. Baking a loaf of bread requires 5 ozof flour and 1 package of yeast. Each loaf of bread can be sold for 30¢. The baker maypurchase additional flour at 4¢/oz or sell leftover flour at the same price. Formulate andsolve an LP to help the baker maximize profits (revenues - costs)

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