vickicoward7661 vickicoward7661

12-11-2017
Mathematics

contestada

A company can manufacture x x hundred items for a total cost of c = 500 + 1100 x − 100 x 2 c=500+1100x-100x2. find x x if the total cost is $ 2 , 300 $2,300.

Respuesta :

barnuts barnuts

22-11-2017

We are given the equation:

c = 500 + 1100 x – 100 x^2

Solve for x given the value of c = 2300

Rearrange and substitute:

- 100 x^2 + 1100 x + 500 = 2300

Divide everything by -100:

x^2 – 11 x – 5 = - 23

x^2 – 11 x = - 18

Completing the square:

(x – 11/2)^2 = - 18 + (11/2)^2

x – 11/2 = ±3.5

x = 2, 9

So x is 2 or 9

Answer Link

Otras preguntas

10 tens is the same as ?

List the following in order from largest to smallest: organisms, organs, tissues, cells cells, organs, tissues, organisms cells, tissues, organs, organisms

The British government expected the colonists in America to harvest valuable resources and ship them back to England. In return, England protected the colonies

Given the equation y − 3 = one half(x + 6) in point-slope form, identify the equation of the same line in standard form. x − 2y = −12 y = one halfx y = one half

m-3x=2x+p solve for x

What are the answers ?

What is the unofficial title of groups like the media that influence the government?

Frog lungs are poorly developed. How does this relate to their skin being thin and moist?

Kelly orders T-shirts and sweaters from a clothing company. she buys them at the prices and quantities that are shown in the table. How much more does one sweat

Kevin needs 1,000 ribbons for a school event. Each ribbon has to be 2.25 feet long. Tell how Kevin can use a pattern to find how many yards of ribbon he needs.