A farmer uses two types of fertilizers. A 50-lb bag of Fertilizer A contains 8 lb of nitrogen, 2 lb of phosphorus, and 4 lb of potassium. A 50-lb bag of Fertilizer B contains 5 lb each of nitrogen, phosphorus, and potassium. The minimum requirements for a field are 440 lb of nitrogen, 260 lb of phosphorus, and 360 lb of potassium. If a 50-lb bag of Fertilizer A costs $40 and a 50-lb bag of Fertilizer B costs $30, find the amount of each type of fertilizer the farmer should use to minimize his cost while still meeting the minimum requirements. Fertilizer A     ____? bags Fertilizer B      ____? bags What is the minimum cost?

Because of road construction in one city, commuters were advised to plan that their Monday morning commute would take 150% of their usual commuting time. Explain what this means.

es ols An animal feed to be mixed from soybean meal and oats must contain at least 168 lb of protein, 27 lb of fat, and 14 lb of mineral ash. Each sack of soybeans costs $21 and contains 70 lb of protein, 9 lb of fat, and 7 lb of mineral ash. Each sack of oats costs $7 and contains 21 lb of protein, 7 lb of fat, and 1 lb of mineral ash. How many sacks of each should be used to satisfy the minimum requirements at minimum cost? What is the minimum cost? (Round to the nearest cent.) Help me solve this View an example Get more help. Clear all Skill builder Check answer d it. orrect:

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?

An animal food must provide 60 units of vitamins and 67 calories per serving. One gram of soybean meal provides 2.5 units of vitamins and 5 calories. One gram of meat byproducts provides 4.5 units of vitamins and 3 calories. One gram of grain provides 5 units of vitamins and 10 calories. A gram of soybean meal costs 7¢, a gram of meat byproducts 9¢, and a gram of grain 10¢. (a) What mixture of these three ingredients will provide the required vitamins and calories at minimum cost? (b) What is the minimum cost? (a) Set up the initial tableau for the dual maximum problem. Fill in the missing entries. X2 S1 S2 S3 2.5 1 4.5 3 10 10

A patient takes vitamin pills. Each day he must have at least 1080 IU of vitamin A, 16 mg of vitamin B₁, and 200 mg of vitamin C. He can choose between pill 1, which contains 150 IU of vitamin A, 2 mg of vitamin B₁, and 20 mg of vitamin C, and pill 2, which contains 120 IU of vitamin A, 2 mg of vitamin B₁, and 40 mg of vitamin C. Pill 1 costs 15¢, and pill 2 costs 45¢. Complete parts a and b below. a. How many of each pill should he buy in order to minimize his cost? What is the minimum cost? He should buy of pill 1 and of pill 2. The minimum cost is $

A patient takes vitamin pills. Each day he must have at least 210 IU of vitamin A, 15 mg of vitamin B1, and 40 mg of vitamin C. He can choose between pill 1, which contains 90 IU of vitamin A, 3 mg of vitamin B1, and 5 mg of vitamin C, and pill 2, which contains 30 IU of vitamin A, 3 mg of vitamin B1, and 20 mg of vitamin C. Pill 1 costs 15¢, and pill 2 costs 45¢. Complete parts a and b below. ..... a. How many of each pill should he buy in order to minimize his cost? What is the minimum cost? He should buy 4 of pill 1 and 1 of pill 2. The minimum cost is $ 1.05 . (Simplify your answers. Type integers or decimals.) b. For the solution in part a, the patient is receiving more than he needs of at least one vitamin. Identify that vitamin, and tell how much surplus he is receiving. He is receiving IU of vitamin A, mg of vitamin B1, and mg of vitamin C more than he needs. (Simplify your answers.)

A farmer uses two types of fertilizers. A 50-lb bag of Fertilizer A contains 8 lb of nitrogen, 2 lb of phosphorus, and 4 lb of potassium. A 50-lb bag of Fertilizer B contains 5 lb each of nitrogen, phosphorus, and potassium. The minimum requirements for a field are 440 lb of nitrogen, 260 lb of phosphorus, and 360 lb of potassium. If a 50-lb bag of Fertilizer A costs $80 and a 50-lb bag of Fertilizer B costs $70, find the amount of each type of fertilizer the farmer should use to minimize his cost while still meeting the minimum requirements. Fertilizer A Fertilizer B What is the minimum cost? $ .2.022. bags bags MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER

A farmer uses two types of fertilizers. A 50-lb bag of Fertilizer A contains 8 lb of nitrogen, 2 lb of phosphorus, and 4 lb of potassium. A 50-lb bag of Fertilizer B contains 5 lb each of nitrogen, phosphorus, and potassium. The minimum requirements for a field are 440 lb of nitrogen, 260 lb of phosphorus, and 360 lb of potassium. If a 50-lb bag of Fertilizer A costs $80 and a 50-lb bag of Fertilizer B costs $70, find the amount of each type of fertilizer the farmer should use to minimize his cost while still meeting the minimum requirements. Fertilizer A      bags Fertilizer B      bags What is the minimum cost? $

A patient takes vitamin pills. Each day he must have at least 300 IU of vitamin​ A, 3 mg of vitamin B1​, and 60 mg of vitamin C. He can choose between pill​ 1, which contains 180 IU of vitamin​ A, 1 mg of vitamin B1​, and 10 mg of vitamin​ C, and pill​ 2, which contains 60 IU of vitamin​ A, 1 mg of vitamin B1​, and 40 mg of vitamin C. Pill 1 costs 25¢​, and pill 2 costs 50¢.Complete parts a and b below.   a. How many of each pill should he buy in order to minimize his​ cost? What is the minimum​ cost?   He should buy 22 of pill 1 and 11 of pill 2. The minimum cost is $11. ​(Simplify your answers. Type integers or​ decimals.)   b. For the solution in part​ a, the patient is receiving more than he needs of at least one vitamin. Identify that​ vitamin, and tell how much surplus he is receiving.   He is receiving:   ___ IU of vitamin​ A, : ___mg of vitamin B1​,and ___mg of vitamin C more than he needs. ​(Simplify your​ answers.)