A study is run to estimate the mean total cholesterol level in children 2 to 6 years of age. A sample of 9 participants is selec
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Answer:
The room dimensions for a minimum cost are: sides of 10 feet and height of 8.75 feet.
Step-by-step explanation:
We have a rectangular room with sides x and height y.
The volume of the room is 875 cubic feet, and can be expressed as:
With this equation we can define y in function of x as:
The cost of wall paint is $0.08 per square foot. We have 4 walls which have an area Aw:
The cost of ceiling paint is $0.14 per square foot. We have only one ceiling with an area:
We can express the total cost of painting as:
To calculate the minimum cost, we derive this function C and equal to zero:
The sides of the room have to be x=10 feet.
The height can be calculated as:
The room will have sides of 10 feet and a height of 8.75 feet.