Maths B

posted by .

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 -

    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

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. maths linear programming

    alright.. this is the question i got.. JJ Manufacturing has three factories (1,2,3) and three distribution centers (A,B,C). shipping costs from the factories to the distrubution centers is as follows from factory 1 to center A: $6 …
  2. Accounting

    Costs can be classified into two categories, fixed and variable costs. These costs behave differently based on the level of sales volumes. Suppose we are running a restaurant and have identified certain costs along with the number …
  3. Math

    A company that produces a particular machine component has 3 factories, one each in Buffalo, Detroit, and Pittsburgh. 39% of the components produced come from the Buffalo factory, 36% of the components come from the Detroit factory, …
  4. Math

    A company that produces a particular machine component has 3 factories, one each in Buffalo, Detroit, and Pittsburgh. 39% of the components produced come from the Buffalo factory, 36% of the components come from the Detroit factory, …
  5. Accounting

    The standard costs and actual costs for factory overhead for the manufacture of 2,500 units of actual production are as follows: Standard Costs Fixed overhead (based on 10,000 hours) 3 hours @ $.80 per hour Variable overhead 3 hours …
  6. Accounting

    The standard costs and actual costs for factory overhead for the manufacture of 2,500 units of actual production are as follows: StandardCosts Fixed overhead (based on 10,000 hours) 3 hours @ $.80 per hour Variable overhead3 hours …
  7. Accounting 3

    Wheeler’s Bike Company manufactures custom racing bicycles. The company uses a job order cost system to determine the cost of each bike. Estimated costs and expenses for the coming year follow: Bike parts $350,000 Factory machinery …
  8. Accounting 3

    Wheeler’s Bike Company manufactures custom racing bicycles. The company uses a job order cost system to determine the cost of each bike. Estimated costs and expenses for the coming year follow: Bike parts $350,000 Factory machinery …
  9. Accounting 3

    Wheeler’s Bike Company manufactures custom racing bicycles. The company uses a job order cost system to determine the cost of each bike. Estimated costs and expenses for the coming year follow: Bike parts $350,000 Factory machinery …
  10. Maths B

    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. …

More Similar Questions