Question

URGENT Q: A bicycle company produces y bicycles at a cost represented by the polynomial y² + 10y + 100,000. The revenue for y bicycles is represented by 2y^2 + 10y + 500. Find a polynomial that represents the company's profit. If the company only has enough materials to make 300 bicycles, should it make the bicycles?

Answer 1

Answer:

The company should not make 300 bicycles.

Step-by-step explanation:

Mathematically speaking, profit ($P(y)$) equals the difference between revenue ($R(y)$) and cost ($C(y)$). That is:

$P(y) = R(y) - C(y)$ (1)

If we know that $R(y) = 2\cdot y^{2}+10\cdot y + 500$ and $C(y) = y^{2}+10\cdot y+100000$, then the profit function is:

$P(y) = 2\cdot y^{2}+10\cdot y +500 -y^{2}-10\cdot y -100000$

$P(y) = y^{2}-99500$ (2)

The company can make the required amount of bicycles if and only if $P(y) > 0$. If $y = 300$, then the profit of company is:

$P(300) = 300^{2}-99500$

$P(300) = -9500$

The company should not make 300 bicycles.