contestada

a jewelry manufacturer has determined the expense equation for necklaces to be E=1,250q+800,000, where q is the quantity demanded. at a particular price, the break even revenue is 2,600,000.
A. what is the quantity demanded at the break even point ?
B. if the break even revenue changes to 3.5 million, will the quantity demanded have increased or decreased? Explain.

Respuesta :

Answer:

A. 1,440.

B. The quantity demanded have increased.      

Step-by-step explanation:  

We have been given that a jewelry manufacturer has determined the expense equation for necklaces to be E=1,250q+800,000, where q is the quantity demanded. At a particular price, the break even revenue is 2,600,000.

A. We can find the quantity demanded at the break even point by substituting E=2,600,000 in our given equation.

[tex]2,600,000=1,250q+800,000[/tex]

[tex]2,600,000-800,000=1,250q[/tex]

[tex]1,800,000=1,250q[/tex]

[tex]q=\frac{1,800,000}{1,250}[/tex]

[tex]q=1,440[/tex]

Therefore, quantity of necklaces demanded at the break even point is 1,440.

B. Now let us substitute E=3500000 in our given equation to find if the quantity demanded have increased of decreased.

[tex]3,500,000=1,250q+800,000[/tex]

[tex]3,500,000-800,000=1,250q[/tex]

[tex]2,700,000=1,250q[/tex]

[tex]q=\frac{2,700,000}{1,250}[/tex]

[tex]q=2,160[/tex]

Therefore, the quantity demanded when the break even revenue changes to 3.5 million have increased as 2,160 in greater than 1,440.