Let L be the line with parametric equations x=2+t, y=1-t, z=1+3t.Let v=(1,2,0).Find vectors w1 and w2 such that v= w1 + w2, and
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Answer:
in units: 18,900
in dollars: $ 41,013
Step-by-step explanation:
The break even point is the sales dollar amount or sales in unit at whichthe operating income of the firm equals to zero:
Where:
<em><u>Contribution margin:</u></em>
2.17 - 1.27 = 1 dollar per unit
Break even:
$18,900 fixed cost / $1 per unit = 18,900 units
Then, in sales:
18,900 x $2.17 each = 41.013
break even point:
The total cost of the factory will be the sum of its variable costs and it's fixed costs. The factory has fixed costs of $53,900 and variable costs of $12.50 per unit produced. Let be the number of toy's produced by this Toby's Tiny Toys, then the total variable costs will be
. From this information we can gather that the cost function for this factory is,
On the other hand, if we let be the number of toys sold, we can gather that at the selling price of 16.50, the revenue function will be ,
Toby's Tiny Toys will reach their break even point when the total costs are equal to the total revenue. At this break even point ,we have that
The company has to sell 134 750 units to break even.