Respuesta :
Answer:
6251 tapes
Explanation:
Given: fixed cost is $10,000.
Variable cost is $0.40 to produce each tape.
Selling price is $2 per tape.
Lets assume number of tapes to be produced and sold be "x"
We know, Total cost= [tex]Fixed\ cost+ Variable\ cost[/tex]
∴ Total cost= [tex]10000+ 0.40\times x[/tex]
Total cost= [tex]10000+0.40x[/tex]
As given, selling price is $2 per tape.
∴ For attaining break even point, Tota cost = Selling price.
[tex]10000+0.40x= 2x[/tex]
Solving the equation to find the value of x
⇒ [tex]10000+0.40x= 2x[/tex]
Subtracting both side by 0.4x
⇒[tex]10000= 1.60x[/tex]
Dividing both side by 1.60
⇒ [tex]x= \frac{10000}{1.60}[/tex]
∴ x= 6250
Hence, number of tapes must be sold and purchased is 6250 to attain break even in the business, however selling one more tapes will get profit is 6251.
