Posted by **Hannah** on Saturday, February 5, 2011 at 11:46am.

What is the difference between the actual increase in profit as production increases from 5 to 6 units, and the marginal profit at a production level of 5 units where the profit function is given by

p(x)= 3x^2 - 5x + 2

First I plugged 5 into the equation and got 52. Then I took the derivative which is 6x -5 and plugged in 5 and got 25. 52 - 25 = 27. Is this correct?

- Math(Please check) -
**helper**, Saturday, February 5, 2011 at 12:48pm
No, you are not correct. But, you almost had it!

To compute the actual increase in profit, first plug in 5, then plug in 6. The difference between f(5) and f(6) is the actual.

p(x)= 3x^2 - 5x + 2

p(5) = 3(5)^2 - 5(5) + 2 = 52

p(6) = 3(6)^2 - 5(6) + 2 = 80

p(6) - p(5) = 80 - 52 = 28

To compute the marginal profit

dp/dx = 6x - 5

6(5) - 5 = 25

Actual - marginal = 28 - 25 = 3

Check my math

## Answer this Question

## Related Questions

- math - A manufacturer can produce 8,500 units for a total profit of 47,600.00 ...
- Calculus - When production is 1700, marginal revenue is 8 dollars per unit and ...
- Math - A manufacturer can produce 8,500 units for a total profit of 47,600.00 ...
- New Age Math - A manufacturer can produce 8,500 units for a total profit of 47,...
- Calculus - I have two problems that I can't figure out for my test review... 1. ...
- Math(Please help) - 1) h(t)=20(5/8) - 16(5/8)^2 + 10 = 65/4 All I need to know ...
- Calc Help - Marginal Cost = 30sqroot(x+4) with fixed costs of $1000. Marginal ...
- Calculus - A manufacturer determines that the profit derived from selling x ...
- math - The profit P ( in dollars) for a manufacturer of sound systems is given ...
- Calculus Help - using the cost function C(q) = q3−60q2+1200q+760 for 0 &#...