A cattle-breeder has two types of cattle-fodder. The first type contains 60 units of carbohydrates and 20 units of proteins per kilogram. The second one contains 40 units of carbohydrates and 30 units of proteins per kilogram. The stock of cattle needs (at least) 20 000 units of carbohydrates and 12 000 units of proteins per day. The price per kilogram of the fodder of the first type is €1.5 and the second type costs €1 per kilogram. There is a contract with the supplying firm that the cattle-breeder will buy at least 50 kilogram a day of the fodder of the first type. (a) Determine the minimum value for the total daily cost of the fodder and find out how much of each type the cattle-breeder has to buy to attain this minimum value for the cost. (b) Would it be cheaper if there was no agreement to buy at least 50 kilogram a day of the first type of fodder? Notes
A cattle-breeder has two types of cattle-fodder. The first type contains 60 units of carbohydrates and 20 units of proteins per kilogram. The second one contains 40 units of carbohydrates and 30 units of proteins per kilogram. The stock of cattle needs (at least) 20 000 units of carbohydrates and 12 000 units of proteins per day. The price per kilogram of the fodder of the first type is €1.5 and the second type costs €1 per kilogram. There is a contract with the supplying firm that the cattle-breeder will buy at least 50 kilogram a day of the fodder of the first type. (a) Determine the minimum value for the total daily cost of the fodder and find out how much of each type the cattle-breeder has to buy to attain this minimum value for the cost. (b) Would it be cheaper if there was no agreement to buy at least 50 kilogram a day of the first type of fodder? Notes
Chapter5: Decimals
Section5.6: Ratios And Rate
Problem 484E: A 16-ounee chocolate mocha coffee with whipped cream contains 470 calories, 18 grams of fat, 63...
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could you please write it with pen and paper? i appreciate it
Transcribed Image Text:35. A cattle-breeder has two types of cattle-fodder. The first type contains 60 units of carbohydrates
and 20 units of proteins per kilogram. The second one contains 40 units of carbohydrates and 30
units of proteins per kilogram. The stock of cattle needs (at least) 20 000 units of carbohydrates
and 12 000 units of proteins per day. The price per kilogram of the fodder of the first type is €1.5
and the second type costs €1 per kilogram. There is a contract with the supplying firm that the
cattle-breeder will buy at least 50 kilogram a day of the fodder of the first type.
(a) Determine the minimum value for the total daily cost of the fodder and find out how much of
each type the cattle-breeder has to buy to attain this minimum value for the cost.
(b) Would it be cheaper if there was no agreement to buy at least 50 kilogram a day of the first
type of fodder?
Notes
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