contestada

Suppose the production cost is R 293 250, computing components cost is R 1 035, labour cost is R 4 140 and the savings on reusable material is R 1 725, determine the number of devices produced. (6)
​

Respuesta :

Answer:

x=15

Step-by-step explanation:

Given production cost is R 293 250, computing components cost is R 1 035, labour cost is R 4 140  and the savings on reusable material is R 1 725.

We know that the production cost equals: y=ax^2+bx-c

Therefore

293 250= 1 035x^2 + 4 140x - 1725

294 975= 1 035x^2 + 4 140x

1 035x^2 +4 140x - 294 975= 0

Divide by 1 035

x^2 + 4x- 285= 0

(x+19)(x-15)=0

x= -19, or x= 15

Choose the positive one since number of devices cannot be zero

adioabiola

The number of devices produced is 15

How to find production cost

  • Production cost = R 293,250
  • Labor cost = R 4,140
  • Computing components cost = R 1,035
  • Savings on reusable = R 1,725

Production cost, y = ax² + bx + c

293,250 = 1,035x² + 4,140x - 1,725

  • Add 1,725 to both sides

294,975= 1,035x² + 4,140x

  • equate to zero

1 035x² + 4 140x - 294,975= 0

  • Divide by 1,035

x² + 4x- 285 = 0

  • solve the quadratic equation using factorization method

x² + 19x - 15x - 285 = 0

x (x + 19) - 15(x + 19)

(x+19) (x-15)=0

x= -19, or x= 15

  • The number of devices can not be negative

Therefore, the number of devices is 15

Learn more about production cost:

https://brainly.com/question/25109150

Otras preguntas