Names: $q,$

Trying to determine the price point to set a new high end washer and dryer combo at$,$ marketing reports yield the following estimated dat$$ set based on price surv$$ys and demand studies. The best fit function for our data is $N=-0\mathrm{.}001P^2+5\mathrm{.}5P-6000$ where $N$ refers to the net income in thousands of dollars and $P$ refers to the price, point in dollars set for the washer and dryer cofmbo. Hint $N=500=$$$500,000$ and $N=1,000=$$$1,000,000.$

$N=-0\mathrm{.}001P^2+5\mathrm{.}5P-6000$

Determine the solutions $(x-$intercepts$)$ to the function

What is the minimum we can charge for the washer$/$dryer combo in order to break even $($that is$,$ the point where we are charging just enough in order to cover our costs$)?$

How much money is too much to charge for the washer$/$dryer combo such that we will no longer be making any profit?

How much money should be ideally charge for the washer$/$dryer combo in order to maximize our net income?

If we charge nothing for the washer$/$dryer combo, how much money will we lose from this production run?