Sunday, February 13, 2022

Weekly Math Problem #74

Profit. As I browse my many materials, I landed upon a word problem. This one has a financial application to it. Nothing to be too concerned about...even if you don't have a financial background, you will be able to understand it. Your algebra background is far more important, in this case. 

To solve this week's problem in completion, you need to recall the following math skills:

        ✔️     How to solve a quadratic equation        

             

WMP! #74 says...


Happy solving!

Check back on Saturday, February 19th for the solution, which will be posted below ⬇️.


Shameless
 
🔌 Plug: Follow me on Instagram @TheYoungeLady
Buy Me a ☕️ Coffee: TheYoungeLady ( I'm gonna need it this year. 😆 )


✏️📓 Solution Time! 📓✏️
⬇️
⬇️
⬇️
⬇️
⬇️


Alright folks, let's get into this solution... 

Step 1:  Find the profit function



Step 2:  Setup the specified profit condition


This quadratic equation can be solved using two methods.


Step 3a:  Solve via the factoring




Step 3b:  Solve via quadratic formula



Step 4:  Answer the question

With the given conditions of revenue and cost for the company, it is found that a profit of $300 will be generated by producing either 20 or 60 units of product.


Here is plot of the profit function:

** This plot was generated using Geogebra.org's calculator. **



▪️ Were you able to find the two values of x?
▪️ If so, what method did you use?
▪️ Let me know what you thought about this week's problem in the comments section. 


Thank you for solving with me this week. ✏️
WMP
! #75 is up next. 
🏌🏿‍♀️



Cheers!

The Younge Lady

No comments:

Post a Comment

It's My 3rd Blogiversary!

SWEET!  My blog has now been in existence for  3  years.  😁  In that time, I have challenged myself to maintain and then improve my math sk...