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04.10.2021 •
Mathematics
Sales Mix and Break-Even Analysis Conley Company has fixed costs of $17,802,000. The unit selling price, variable cost per unit, and contribution margin per unit for the company’s two products follow: Product Model Selling Price Variable Cost per Unit Contribution Margin per Unit
Yankee $180 $99 $81
Zoro 225 135 90
The sales mix for products Yankee and Zoro is 80% and 20%, respectively. Determine the break-even point in units of Yankee and Zoro.
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Ответ:
arg (w)=π/4 and |w|=√2
Step-by-step explanation:
If z= x+iy is a complex number, then |z| is given by √ ( x²+y² ).
And the argument (z) is given by Ф = tan⁻¹ ( y/x ) where -π < x < π.
Now, in our case w= 1+i i.e. x=1 and y=1.
Therefore, arg (w) = tan⁻¹ (1/1) = π/4 and |w|=√ ( 1²+1² ) = √2 (Answer)