the financial planner for a beauty products manufacturer develops the system of equations below to determine…

the financial planner for a beauty products manufacturer develops the system of equations below to determine how many combs must be sold to generate a profit. the linear equation models the income, in dollars, from selling x plastic combs; the quadratic equation models the cost, in dollars, to produce x plastic combs. according to the model, for what price is each comb being sold?\ny = \frac{x}{2}\ny=-0.03(x - 95)^2+550\n$0.03\n$0.50\n$0.95\n$2.00

the financial planner for a beauty products manufacturer develops the system of equations below to determine how many combs must be sold to generate a profit. the linear equation models the income, in dollars, from selling x plastic combs; the quadratic equation models the cost, in dollars, to produce x plastic combs. according to the model, for what price is each comb being sold?\ny = \frac{x}{2}\ny=-0.03(x - 95)^2+550\n$0.03\n$0.50\n$0.95\n$2.00

Answer

Explanation:

Step1: Recall income - price relationship

The income formula is $y = px$, where $y$ is income, $p$ is price per unit, and $x$ is the number of units sold. Given the income equation $y=\frac{x}{2}$.

Step2: Compare with income - price formula

Comparing $y = px$ and $y=\frac{x}{2}$, we can see that $p=\frac{1}{2}= 0.5$.

Answer:

$0.50$ (B. $0.50$)