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?\n\\\\begin{cases}y = \\frac{x}{2}\\\\y=-0.03(x - 95)^2+550\\end{cases}\\\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?\n\\\\begin{cases}y = \\frac{x}{2}\\\\y=-0.03(x - 95)^2+550\\end{cases}\\\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 $p$ is the price per unit and $x$ is the number of units sold. Here the income equation is $y=\frac{x}{2}$.

Step2: Compare with income 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$)