Steve has an option with a payoff profile that depicts a line that is constant at zero up until some point after which the line
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Answer:
The boy: 8 years old
The sister: 11 years old
Explanation:
We assume that the age at present of the boy is x (years old).
As he is younger than his sister 3 years, so that his sister's present age is great than x 3 years
=> Her present age is: x + 3 (years old)
Two years ago, the boy is younger than present two years
=> The boy's age two years ago is: x - 2 (years old)
Similarly, the sister's age two years ago is: (x+3)-2 = x + 1 (years old)
As given, two years ago he was two-thirds of his sister's age, so that we have:
<em>The boy's age two years ago = </em><em> × the sister's age two years ago</em>
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=> x + 3 = 8 + 3 = 11
So the present age of the boy is 8 years old, of the sister is 11 years old
Answer:
Explanation:
Assume the <em>cost</em> equation to be:
Where is the number of units (wooden baseball bats) produced.
The <em>average cost per unit of production level</em> is the total cost divided by the number of units produced:
You are given that the <em>average cost per unit of a production level of 7,700 bats is $14</em>, then:
You are also given that the <em>fixed costs</em> are <em>$22,500</em>, thus A = 22,500. Hence, you can substitute the value of A in the previous equation and find B:
Now you can complete the cost equation:
And to predict the total costs for 8,600 bats you must subsitute x with 8,600 in the previous equation: