Answer:
x = 7
Step-by-step explanation:
In this question, we need to find what the value of x is.
To do so, we need to find the value of the change of the triangle, since the triangles are basically the same
We know to get from 18 to 27, we would need to multiply 18 by 1.5.
This means that the triangle "BCD" is increasing from 1.5 to get "JKL"
With this knowledge, we also know that side CB, 10, needs to increase by 1.5
When you multiply 10 by 1.5, you get 15.
The triangle side "JK" is the same side as "CB", so we need to find what makes the value of 15 for the "JK" side.
To do this, solve 3x-6 for 15.
3x - 6 = 15
Add 6 to both sides.
3x = 21
Divide both sides by 3
x = 7
The x-variable would be 7.
Part a) Total Cost
Total Cost for recapping the tires is the sum of fixed cost and the variable cost. i.e.
The total cost is ( $65,000 fixed) + (15,000 x $7.5)
=$65,000+$112,500
=$177,500
Part b) Total Revenue
Revenue from 1 tire = $25
Total tires recapped = 15000
So, Total revenue = 15000 tires x $25/tire
Total Revenue =$375,000
Part c) Total Profit
Total Profit = Revenue - Cost
Using the above values, we get:
Profit = $375,000 - $177,500
Profit = $197,500
Part d) Break-even Point
Break-even point point occurs where the cost and the revenue of the company are equal. Let the break-even point occurs at x-tires. We can write:
For break-even point
Cost of recapping x tires = Revenue from x tires
65,000 + 7.5 x = 25x
65,000 = 17.5 x
x = 3714 tires
Thus, on recapping 3714 tires, the cost will be equal to the revenue generating 0 profit. This is the break-even point.
Answer:
The median of the data is 3
Step-by-step explanation:
