a) The amount earned by Kurt by selling the break-even units of painting at $38 each is <u>$1,064</u>.
b) The number of paintings that Kurt will be selling at the break-even point is <u>28</u>.
<h3>What is the break-even point?</h3>
The Break-even point is the sales units at which the seller's total revenue equals the total costs.
At the break-even point, there is no profit or loss.
<h3>Data and Calculations:</h3>
Fixed costs = $112
Variable cost = $34
Selling price = $38
Contribution margin = $4 ($38 - $34)
Contribution margin ratio = 10.53% ($4/$38 x 100)
Break-even point (units) = Fixed costs/Contribution margin per unit
= 28 units ($112/$4)
Break-even point (dollars) = $1,064 ($38 x 28)
Learn more about the break-even point at brainly.com/question/21137380
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They will need to sell 500 tickets
3500-1500=2000
2000/4 = 500
So they will need to sell 500 tickets!
Answer:
f(x) = 8(1/2)^x.
Step-by-step explanation:
According to the graph, there is a point at (0, 8) and (1, 4).
That means that when x = 0, y = 8.
8 = a(b)^0
1a = 8
a = 8
That means that a = 8, and when x = 1, y = 4.
4 = 8(b)^1
4 = 8b
8b = 4
b = 4/8
b = 1/2
So, f(x) = 8(1/2)^x.
Hope this helps!
Complete question :
A 48 inch board in to be cut into three pieces so that the second piece is twice as long as the first, and the third piece in 3 times as long as the first. If x represents the length of the first, find the lengths of all three
Answer:
Length of first piece = x = 8
Length of second = 2x = 8*2 = 16
Length of third = 3x = 8 * 3 = 24
Step-by-step explanation:
Let :
Length of first piece = x
Length of second = 2x
Length of third = 3x
The total lengtb of board = 48 inches
Hence,
First + second + third = 48
x + 2x + 3x = 48
6x = 48
x = 48 / 6
x = 8
Length of first piece = x = 8
Length of second = 2x = 8*2 = 16
Length of third = 3x = 8 * 3 = 24