Tabitha

Tabitha manufactures a product that sells very well. The capacity of her facility is 241,000 units per year. The fixed costs are $122,000 per year and the variable costs are $11 per unit. The product currently sells for $17.

a. What total revenue is required for a net income of $397,000 per year?

b. If sales were at 55% of the capacity and the variable costs decreased by 25%, what would be the net income per year?

Result

a =  3170000
b =  143100

Solution:


397000 = a - (122000+11*241000)

a = 3170000

a = 3170000

Calculated by our simple equation calculator.

b = 17 * 241000 * 0.55 - (122000 + 11*(1-0.25)*241000)

b = 143100

b = 143100

Calculated by our simple equation calculator.







Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Showing 0 comments:
1st comment
Be the first to comment!
avatar




Following knowledge from mathematics are needed to solve this word math problem:

Our percentage calculator will help you quickly calculate various typical tasks with percentages. Do you have a linear equation or system of equations and looking for its solution? Or do you have quadratic equation?

Next similar math problems:

  1. Divide 8
    powers Divide 6840 by x y and z, in such a way that x has twice as much as y, who has half as much as z
  2. Reciprocal value
    fx How do I calculate a number x that is 9 greater than its reciprocal (1/x)?
  3. Age problems
    time_1 A) Alex is 3 times as old as he was 2 years ago. How old is he now? b) Casey was twice as old as his sister 3 years ago. Now he is 5 years older than his sister. How old is Casey? c) Jessica is 4 years younger than Jennifer now. In 10 years, Jessica wi
  4. Three-day trip
    cyclist The cyclist on three-day trip travel 30% of the total route on the first day, 3/5 of the rest on the second day and 35 km on the third day. How many kilometers did travel cyclists each day and how many?
  5. Camel and water
    tava 84% of the camel's weight is water. After drinking, its weight increased to 832 kg and water accounted for 85% of its weight. How much did it weigh before drinking?
  6. Trapezoid MO
    right_trapezium The rectangular trapezoid ABCD with right angle at point B, |AC| = 12, |CD| = 8, diagonals are perpendicular to each other. Calculate the perimeter and area of ​​the trapezoid.
  7. Pool
    pool If water flows into the pool by two inlets, fill the whole for 8 hours. The first inlet filled pool 6 hour longer than second. How long pool take to fill with two inlets separately?
  8. Bonus
    moeny Gross wage was 527 EUR including 16% bonus. How many EUR were bonuses?
  9. Logic
    blue-barrel A man can drink a barrel of water for 26 days, woman for 48 days. How many days will a barrel last between them?
  10. Beer
    piva After three 10° beers consumed in a short time, there is 5.6 g of alcohol in 6 kg adult human blood. How much is it per mille?
  11. Clock
    hodiny How many times a day hands on a clock overlap?
  12. Server
    p_pro Calculate how many average minutes a year is a webserver is unavailable, the availability is 99.99%.
  13. Discount
    pulover Ladies sweater was twice discounted. First by 11%, then by 11% of the new price. Its final price was 100 €. Determine the original price of sweater.
  14. River
    river From the observatory 11 m high and 24 m from the river bank, river width appears in the visual angle φ = 13°. Calculate width of the river.
  15. Right triangle Alef
    r_triangle The obvod of a right triangle is 84 cm, the hypotenuse is 37 cm long. Determine the lengths of the legs.
  16. Proof PT
    pytagoras Can you easy prove Pythagoras theorem using Euclidean theorems? If so, do it.
  17. Observer
    ohrada The observer sees straight fence 100 m long in 30° view angle. From one end of the fence is 153 m. How far is it from the another end of the fence?