royalred just started production of a new synthetic motor oil they have overhead costs of $21,804.00 a month plus manufacturing costs of $4.99 per quart of oil the oil sells for $7.36 per quart and the company's profit per month can be determined by the function p(x)=2.37x-21,804, where x is the number of quarts of oil sold over which of the following intervals will the company be making a profit
a: 2,962, 10,580
b: 9,201, 18,860
c: 2,932, infinite
d: 9,200, infinite

Question

contestada

Respuesta :

joaobezerra joaobezerra · Answer 1 · 2022-04-12T11:07:06+02:00

Considering the given profit function, it is found that the interval of values of x for which the company makes a profit is:

d: 9,200, infinite.

Considering x as he number of quarts of oil sold, the monthly profit function is given by:

p(x) = 2.37x + 21,804.

The company makes a profit if p(x) > 0, hence:

p(x) > 0

2.37x + 21,804 > 0

x > 21,804/2.37

x > 9,200.

Which means that option D is correct.

More can be learned about functions at https://brainly.com/question/25537936