You invest in a new technology company. the cost includes an overhead of $30,000, p production costs of $2500 per item produced. each item sells for $3125. a. write the cost function, c. b. write the revenue function r. c. determine the break-even point. describe what it means.

A. C(x) = 30.000 + 2500x

B. R(x) = 3125x

C. 48 items break even point

Step-by-step explanation:

A. The cost function C(x) is fixed cost plus variable cost.

In this case overhead works as fixed cost, we can write:

C(x) = 30.000 + 2500x

B. Revenue R(x) would be the price multiplied by quantity of items (x).

R(x) = 3125x

C. Break even point

To get the break even point we set R(x) = C(x) and find the value of x.

R(x) = C(x)

3125x = 30.000 + 2500x

3125x-2500x=30.000

625x=30.000

x=30.000/625

x=48

It means when you sell 48 items the costs will even revenue. So if you sell more than 48, then it's going to be profitable. If you sell less than 48, you will be losing money.

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.  

answer: hey there,

the answer you are looking for is a..

hope this you!