# math

posted by .

The amount of revenue a company makes per day by selling x items is given by the function f(x) = 14x - 0.2x2. How many items should be sold if the company wants to maximize their profit?

• math -

I suppose you mean f(x) = 14x - 0.2x^2.
Please use an ^ before exponents.

The function has a maximum value where the derivative is zero.
f'(x) = 14 - 0.4 x = 0
x = 14/.4 = 35

If you don't know differential calculus yet, you can get the same result by "completing the square", but it takes longer, espcially with decimals involved.

• math -

Determine whether the system is consistent, inconsistent, or dependent.
3x + 2y = 15
6x + 4y = 30

• math -

inconsistent

## Similar Questions

1. ### Math Algebra 2

An electronics company manufactures personal tape players on which it makes a profit of \$28 each and personal CD players where the profit is \$33 each. The company intends to produce at least 60 tape players and 100 CD players per day …
2. ### math

The amount of revenue a company makes per day by selling x items is given by the function f(x) = 14x - 0.2x2. How many items should be sold if the company wants to maximize their profit?
3. ### math

Hello! I came across the following two problems that appear easy but I was not able to construct the needed equations. (1) The profit (in thousand of dollars) on x thousand units of a specialty item is p = 0.6x - 14.5. The cost c of …
4. ### Math

Marx clothing store is selling a lot of items. On monday 495 items were sold. on tuesday 450 items were sold. on friday 593 items were sold. Marx's misplace the totals for wed and thurs but the average over the five days was 494 items …

A company has operating costs of \$2000 per thousand items produced. Its revenue function can be modeled by the equation: R(x)=30x/(x+2)² , where x is measured in thousands of items produced, and C and R are measured in thousands of …
6. ### algebra

Your company would like to know how sales levels affect profits. If too few items are sold, then there is a loss. Even if too many items are sold, however, the company can lose money (likely because of low pricing). It is good to know …
7. ### Math

A manufacture has been selling 1400 television sets a week at \$450 each. A market survey indicates that for each \$14 rebate offered to a buyer, the number of sets sold will increase by 140 per week. a) Find the function representing …