it costs a publishing company $0.55 to print one copy of a certain novel. this company paid $725,000 for the…

it costs a publishing company $0.55 to print one copy of a certain novel. this company paid $725,000 for the rights to the novel. if they can sell a copy of the novel for $6.75, how many copies of the novel must they sell to break even, to the nearest hundred?\na. 195,300\nb. 116,900\nc. 107,400\nd. 99,300

it costs a publishing company $0.55 to print one copy of a certain novel. this company paid $725,000 for the rights to the novel. if they can sell a copy of the novel for $6.75, how many copies of the novel must they sell to break even, to the nearest hundred?\na. 195,300\nb. 116,900\nc. 107,400\nd. 99,300

Answer

Answer:

A. 195,300

Explanation:

Step1: Define profit - cost relationship

Let $x$ be the number of copies sold. The total cost $C$ is the sum of the rights - cost and the printing cost, so $C = 725000+0.55x$. The total revenue $R$ is the selling price per copy times the number of copies, so $R = 6.75x$. At the break - even point, $R = C$, so $6.75x=725000 + 0.55x$.

Step2: Solve the equation for $x$

Subtract $0.55x$ from both sides: $6.75x−0.55x=725000$, which simplifies to $6.2x = 725000$. Then $x=\frac{725000}{6.2}\approx116935.48$.

Step3: Round to the nearest hundred

Rounding $116935.48$ to the nearest hundred gives $116900$. So the answer is B. 116,900.