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Lilit [14]
3 years ago
6

Steve's doctor has advised him to take protein supplements. He bought two brands, Brand A and Brand B. The table gives the amoun

t of calcium, iron, and vitamins (in milligrams per spoonful) in each of the two brands.
Brand Calcium Iron Vitamins
A 5 4 7
B 4 6 4

Steve needs to take at least 24 milligrams of calcium, 15 milligrams of iron, and 16 milligrams of vitamins. Which ordered pairs of values are solutions for the given system inequalities? Select all the correct answers.

A) (1, 4)
B) (1, 5)
C) (2, 3)
D) (3, 2)
E) (4, 1)

Mathematics
2 answers:
vesna_86 [32]3 years ago
7 0
Let the number of Brand A taken be x and the number of Brand B taken be y.
Then
5x + 4y ≥ 24
4x + 6y ≥ 15
7x + 4y ≥ 16

Points (1, 5) and (4, 1) satisfy the system of the given system of inequalities.
Yuliya22 [10]3 years ago
3 0

Answer:

(1,5) and(4,1).

Step-by-step explanation:

Given :

Brand Calcium Iron Vitamins

A                5 4 7

B                4 6 4

Let x be the quantity of brand A

Let y be the quantity of brand B

Steve needs to take at least 24 milligrams of calcium, 15 milligrams of iron, and 16 milligrams of vitamins.

So, equation becomes:

5x+4y\geq 24

4x+6y\geq 15

7x+4y\geq 16

Now plot the given inequalities on the graph

Refer the attached graph

Thus the points lies in the feasible region are (1,5) and(4,1).

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