Answer:
The profit will be maximum on x = 250.
Step-by-step explanation:
From the given information:
Revenue = 1500x - x²
Cost = 1500 + 1000x
As we know that
Profit = Revenue - Cost ; Let say it equation 1
Then after putting the values of revenue and cost in equation 1 we have:
Profit = (1500x - x²) - (1500 + 1000x)
Profit = 1500x - x² - 1500 - 1000x
Profit = -x² + 500x - 1500
We know that at the max or min the slope of the graph formed by the profit function will be zero, therefore we find the slope of profit function by taking the first derrivative w.r.t. x as under:
d(Profit)/dx = d/dx(-x² + 500x - 1500)
d(Profit)/dx = -2x + 500
By putting the above slope equal to zero we get:
d(Profit)/dx = -2x + 500 = 0
-2x + 500 = 0
-2x = -500
x = 250
Therefore it is concluded that the profit will be maximum when x will be equal to 250.
 
        
             
        
        
        
The canl's water level is now 10.875 below sea level
because 2 1/4 or 2.25 +7=9.25 and 13/8 or 1.625+9.25=10.875
        
                    
             
        
        
        
Answer:
The correct answer is option B.
Step-by-step explanation:
When one of them loses their job, their monthly income is reduced by $3,200. If they felt the need to file for bankruptcy, then the following statements is true?-
b. They could file for Chapter 7 bankruptcy and discharge most of their debt. (When one of the parent loses job, the median income will fall below the prescribed state median income, this is the reason they can file chapter 7 bankruptcy.)
 
        
                    
             
        
        
        
Answer:
Step-by-step explanation:
5p + 2(p + 4) .......because pencil cases (p) sell for 5 bucks a piece....and mechanical pencils (p + 4), sell for 2 bucks a piece. She is basically selling 4 more mechanical pencils then she is pencil cases.