contestada

If the cost of producing a product that sells for $40 is 72,000 plus $32.00 per piece, then how many products must be sold to break even?

Respuesta :

altavistard

Let x represent the # of units produced and sold.


Then


Revenue = Costs

($40)x = $72000 + ($32)x


Solving for x: $8x = $72000. Thus, x = 9000.


Have to make and sell 9000 units to break even here.


johanrusli

The number of products that must be sold to break even is 9,000

Further explanation

Order of Operations in Mathematics follow this following rule :

  1. Parentheses
  2. Exponents
  3. Multiplication and Division
  4. Addition and Subtraction

This rule is known as the PEMDAS method.

In working on a mathematical problem, we first calculate operation that is in parentheses, follow by exponentiation, then multiplication or division, and finally addition or subtraction.

Let us tackle the problem !

Let:

Number of Products = x

A product will be sold at $40

[tex]\boxed{\texttt{Revenue} = 40x}[/tex]

[tex]\texttt{ }[/tex]

The cost of producing a product is 72,000 plus $32.00 per piece

[tex]\boxed{\texttt{Cost} = 72000 + 32x}[/tex]

[tex]\texttt{ }[/tex]

In order to break even then :

[tex]\texttt{Revenue = Cost}[/tex]

[tex]40x = 72000 + 32x[/tex]

[tex]40x - 32x = 72000[/tex]

[tex]8x = 72000[/tex]

[tex]x = 72000 \div 8[/tex]

[tex]x = 9000[/tex]

[tex]\texttt{ }[/tex]

Learn more

  • Infinite Number of Solutions : https://brainly.com/question/5450548
  • System of Equations : https://brainly.com/question/1995493
  • System of Linear equations : https://brainly.com/question/3291576
  • Student's Shirt : https://brainly.com/question/909783

Answer details

Grade: Middle School

Subject: Mathematics

Chapter: Percentage

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point , Multiplication , Division , Exponent , PEMDAS , percentange , percent , cookies , chocolate , chip , paper , fourth , pieces , Revenue , Cost , Break Even , Products

Ver imagen johanrusli

Otras preguntas