Question

In: Statistics and Probability

A farmer can buy two types of plant​ food, mix A and mix B. Each cubic...

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 460 pounds of phosphoric​ acid, 960 pounds of​ nitrogen, and 220 pounds of potash. If mix A costs ​$25 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 is this​ cost?

Solutions

Expert Solution

orchestra answered 1 year ago
Next > < Previous

Related Solutions

A farmer can buy two types of plant food, mix A and mix B. Each cubic...
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 460 pounds of phosphoric acid, 960 pounds of nitrogen, and 220 pounds of potash. If mix A costs $30...
A farmer plans to mix two types of food to make a mix of low cost...
A farmer plans to mix two types of food to make a mix of low cost feed for the animals in his farm. A bag of food A costs $10 and contains 40 units of proteins, 20 units of minerals and 10 units of vitamins. A bag of food B costs $12 and contains 30 units of proteins, 20 units of minerals and 30 units of vitamins. How many bags of food A and B should the consumed by the...
A farmer can buy either corn or barley for her cows. Assume that both types of...
A farmer can buy either corn or barley for her cows. Assume that both types of feed are equally nutritious. Draw one of the farmer’s isoquants on a graph and show that, depending on the relative costs of barley and corn, it is sometimes cost-minimizing for the farmer to only buy corn, and sometimes only barley.
7) You are working on a concrete mix design that requires each cubic yard of concrete...
7) You are working on a concrete mix design that requires each cubic yard of concrete to have a 0.45 water–cement ratio,2100 lb/yd3 of dry gravel, 250 lb/yd3 of water, and 5% air content. The available gravel (NMS = ¾”) has a specific gravity of 2.6 , moisture content of 2.5% and absorption of 4.5%.The available sand has a specific gravity of 2.4, a moisture content of 2.5% and absorption of 2%. Air entrainer is to be included using the...
7) You are working on a concrete mix design that requires each cubic yard of concrete...
7) You are working on a concrete mix design that requires each cubic yard of concrete to have a 0.45 water–cement ratio,2100 lb/yd3 of dry gravel, 250 lb/yd3 of water, and 5% air content. The available gravel (NMS = ¾”) has a specific gravity of 2.6 , moisture content of 2.5% and absorption of 4.5%.The available sand has a specific gravity of 2.4, a moisture content of 2.5% and absorption of 2%. Air entrainer is to be included using the...
Product Mix Problem Your company grows two types of plants, A and B (e.g., roses and...
Product Mix Problem Your company grows two types of plants, A and B (e.g., roses and begonias). Both plant types require two types of fertilizer throughout the growing season, Fertilizer 1 and Fertilizer 2. A single plant A will require 2 pounds of fertilizer 1 and 1 pound of fertilizer 2. A single plant B will require 1 pound of fertilizer 1 and 2 pounds of fertilizer 2. Your distributer has 4000 pounds of fertilizer 1 and 5000 pounds of...
A farmer is considering the purchase of a sprinkler system. He can choose to buy system...
A farmer is considering the purchase of a sprinkler system. He can choose to buy system A or system B. Sprinkler A and B provide the same service so revenues can be ignored. The sprinkler system A costs $37,000, has a before-tax net return of -$5,900, has a life of 7 years, and a terminal value of $12,600. Sprinkler system B costs $24,500, has a before-tax net return of -$7,000, has a life of 6 years, and a terminal value...
South Coast Papers wants to mix two lubricating oils (A and B) to create a mix...
South Coast Papers wants to mix two lubricating oils (A and B) to create a mix that has a viscosity rating of no less than 40. A has a viscosity rating of 45 and costs 60 cents per gallon; B has a viscosity rating of 37.5 and costs 40 cents per gallon. There are 2,000 gallons of A and 4,000 gallons of B available. The company needs no less than 3,000 gallons of the mix to run the machines next...
Brad Simpson is a farmer in the Moscow, Idaho area. Each year he tries to plant...
Brad Simpson is a farmer in the Moscow, Idaho area. Each year he tries to plant the crop that will make him the most money. He has a choice of three crops, barley, wheat or garbanzo beans. The amount he makes on each crop varies based on the amount of rain that comes during the season. A very rainy season is great for garbanzo beans but hurts the profit from barley. Wheat doesn’t vary much based on the rainfall. The...
Brad Simpson is a farmer in the Moscow, Idaho area. Each year he tries to plant...
Brad Simpson is a farmer in the Moscow, Idaho area. Each year he tries to plant the crop that will make him the most money. He has a choice of three crops, barley, wheat or garbanzo beans. The amount he makes on each crop varies based on the amount of rain that comes during the season. A very rainy season is great for garbanzo beans (called garbos) but hurts the profit from barley. Wheat doesn’t vary much based on the...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT