Explanation:
As points have three coordinates i.e. x, y and z hence the sketch of the given four points is drawn in 3D shape and for that picture is attached here with this answer.
Points are given in the format as below
(value of x-coordinate , value of y-coordinate , value of z-coordinate)
In the attachment:
Point A = (0,5,2) (in blue color)
Point B = (4,0,-1) (in purple color)
Point C = (2,4,6) (in orange color)
Point D = (1,-1,2) (in black color)
Given:
Cost of small candles = $4.00
Cost of large candles = $6.00
They have at most 50 candles, and want to make at least $100.
To find:
The system of linear inequalities represents the situation.
Solution:
Let x be the number of small candles and y be the number of large candles.
At most 50 candles means total candles must be less than or equal to 50.
Want to make at least $100. It means, the total sales must be greater than or equal to $100.
Therefore, the inequalities in the system of linear inequalities are and
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