(-3,1) perpendicular to y=2/5x-4
1 answer:
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Given:
The variable cost per unit is $3, fixed costs are $2.
The revenue function is:
where q is the number of thousands of units of output produced.
To find:
The break - even points for company X.
Solution:
The variable cost per unit is $3, fixed costs are $2.
So, the cost function is:
Total cost = Fixed cost + Variable cost × Quantity
The revenue function is:
At break - even points the profit is zero. It means the cost and revenue are equal.
Squaring both sides, we get
Splitting the middle term, we get
Using zero product property, we get
and
and
and
Therefore, the break even points are 0.444 and 1.
Answer: <u>96</u> sq ft.
Step-by-step explanation:
First, we will find the area of the rectangular sides. Since the triangle is an equilateral triangle, all the rectangles will be the same size.
A = L * W
A = (10 ft) * (3 ft)
A = 30 ft²
30 ft² * 3 = 90 ft²
Next, we will find the area of the two triangles.
A =
A =
3 ft + 3 ft = 6 ft²
Lastly, we will add them together for the total surface area.
90 ft² + 6 ft² = 96 ft²