Friday
March 24, 2017

Post a New Question

Posted by on Tuesday, March 13, 2012 at 1:15am.

The running costs of a particular factory consist of two components – a constant charge per week for rent of premises and a variable cost for labour which depends on the number of staff working in the factory in that particular week. The total weekly running costs are $20 000 when there are 25 staff and $35 000 when there are 50 staff working the factory. Write an equation that describes the relationship between the total cost, C, and the number of staff, n. Use your
equation to calculate the total weekly cost when 35 staff are working the factory.

  • Maths B - , Tuesday, March 13, 2012 at 10:48am

    Cost = fixed cost + variable cost*# staff
    C = f + k*x

    20000 = f + 25k
    35000 = f + 50k
    subtract to get
    25k = 15000
    k = 600

    so, C(x) = 5000 + 600x
    and C(35) = 5000 + 600*35 = 26000

Answer This Question

First Name:
School Subject:
Answer:

Related Questions

More Related Questions

Post a New Question