Solve the problem.The liquid portion of a diet is to provide at least 300 calories, 36 units of vitamin A, and 90 units of vitamin C daily. A cup of dietary drink X provides 60 calories, 12 units of vitamin A, and 10 units of vitamin C. A cup of dietary drink Y provides 60 calories, 6 units of vitamin A, and 30 units of vitamin C. Set up a system of linear inequalities that describes the minimum daily requirements for calories and vitamins. Let x = number of cups of dietary drink X, and y = number of cups of dietary drink Y. Write all the constraints as a system of linear inequalities.
A. 60x + 60y ? 300
12x + 6y ? 36
10x + 30y ? 90
x ? 0
y ? 0
B. 60x + 60y > 300
12x + 6y > 36
10x + 30y > 90
x > 0
y > 0
C. 60x + 60y ? 300
12x + 6y ? 36
10x + 30y ? 90
x ? 0
y ? 0
D. 60x + 60y ? 300
12x + 6y > 36
10x + 30y ? 90
Answer: A
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+
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