SOLUTION: I am having a terrible time trying to figure this out. Suppose you own a strip mall. You want to determine the amount of rent you should charge to maximize your profit. The

Question 473555: I am having a terrible time trying to figure this out.
Suppose you own a strip mall. You want to determine the amount of rent you should charge to maximize your profit. The given equation measure the profit, P (is in thousands of dollars), per square foot of rental space (m is dollars per square foot).

1. Does the graph of this equation open up or down? What algebraic information can you use to determine this?
2. Describe what happens to the profit as the rent per square foot is increased. Discuss the different amounts of profit defined by the graph and the equation.
3. Use the quadratic formula to determine the amounts that should be charged for rent that will give you zero profit. Round the value of m to the nearest tenth of a square foot.
What do the solutions represent? Is there a solution that does not make sense? If so, in what ways does the solution not make sense?

4. Will this equation give you a maximum profit or a minimum profit? How do you know?
5. What price should be charged to reach the maximum or minimum profit?
6. How much profit will you have at the peak or low? Remember that the profit is measured in thousands of dollars. Include the proper units.
7. What is the point of the vertex? Calculate this value. How does this number relate to your answers in numbers 5 and 6?
8. How many solutions are there to the equation ? How do you know? Give an algebraic and a written response.

Found 2 solutions by stanbon, richard1234:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
You did not post the equation.
Cheers,
Stan H.
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
No equation provided.
RELATED QUESTIONS
Please help with this problem. I am having a terrible time trying to figure it out.... (answered by stanbon)
the level of thorium in a sample decreases by a factor of one-half every 2 million years. (answered by ankor@dixie-net.com)
I am having a very hard time trying to figure this out. Can you please help me? Find... (answered by Fombitz)
I am having a hard time trying to figure out this problem. What is the square root of... (answered by stanbon)
I am trying to find the interest rate "r" in this problem: "At a certain constant APR... (answered by scott8148)
I am really having a hard time trying to figure out this problem... √ -x+7 =... (answered by edjones)
Hi I have been trying and trying to find out this answer on my own and I just can't... (answered by rothauserc,MathTherapy)
Hi. I am having a difficult time trying to figure out of to factor the trinomial. If you... (answered by nerdybill,Theo)