A sports dietician is planning a food menu consisting of three major foodstuffs A, B, and C. Each gram ofA contains 3 units of protein, 2 units of carbohydrates, and 4 units of fat. Each gram of B contains 1, 3, and 2 units of protein, carbohydrates, and fat, respectively and each gram of C contains 3, 1, and 4 units of protein, carbohydrates, and fat, respectively. The dietician wants the meal to provide at least 440 units of fat, at least 150 units of carbohydrates, and at least 320 units of protein. 1 kg of A costs $15.60, 1 kg of B costs $18.90. and 1 kg ofC costs $12.70. If x is the quantity of foodstuff A in kg y is the quantity of foodstuff a in kg and z is the quantity of foodstuff Cin kg which of the following items is the constrain related to Protein limit? O a 2x+By+12320 Ob 2x+ 3y 22 320 OG 3k 1y 3z320 Od. 3x+1ty 32 120

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.1: Solution Of Linear Systems
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A sports dietician is planning a food menu consisting of three major foodstuffs A, B, and C. Each gram of A contains 3 units of protein, 2
units of carbohydrates, and 4 units of fat. Each gram of B contains 1, 3, and 2 units of protein, carbohydrates, and fat, respectively and each
gram of C contains 3, 1, and 4 units of protein, carbohydrates, and fat, respectively. The dietician wants the meal to provide at least 440
units of fat, at least 150 units of carbohydrates, and at least 320 units of protein. 1 kg of A costs $15.60, 1 kg of B costs $18.90, and 1 kg of C
costs $12.70. If x is the quantity of foodstuff A in kg y is the quantity of foodstuff B in kg and z is the quantity of foodstuff Cin kg which of
the following items is the constrain related to Protein limit?
O a. 2x+ 3y +12 320
Ob. 2x+ 3y 22 320
OC 3x 1y 3z 320
Od. 3x+ 1y 32 320
Transcribed Image Text:A sports dietician is planning a food menu consisting of three major foodstuffs A, B, and C. Each gram of A contains 3 units of protein, 2 units of carbohydrates, and 4 units of fat. Each gram of B contains 1, 3, and 2 units of protein, carbohydrates, and fat, respectively and each gram of C contains 3, 1, and 4 units of protein, carbohydrates, and fat, respectively. The dietician wants the meal to provide at least 440 units of fat, at least 150 units of carbohydrates, and at least 320 units of protein. 1 kg of A costs $15.60, 1 kg of B costs $18.90, and 1 kg of C costs $12.70. If x is the quantity of foodstuff A in kg y is the quantity of foodstuff B in kg and z is the quantity of foodstuff Cin kg which of the following items is the constrain related to Protein limit? O a. 2x+ 3y +12 320 Ob. 2x+ 3y 22 320 OC 3x 1y 3z 320 Od. 3x+ 1y 32 320
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