A company is selling toothpicks. It costs $0.03 to produce each toothpick and a fixed cost of $110 a month for the company. If the company is selling toothpicks for $0.04 each, how many toothpicks must they sell a month in order to break-even

Step-by-step explanation:

Here, let us assume the number of toothpicks sold to break even = m

So, for m toothpicks, Total cost  = Total Earnings

Now, the cost of producing 1 toothpick = $0.03

So, cost of production of m toothpicks  = m x ( cost of 1 toothpick)

= $(0.03 m)

Also, fixed month cost  = $110

So, Total cost of production = $110 + $0.03 m  .... (1)

Again, the selling cost of 1 toothpick = $0.04

So, selling cost of m toothpicks  = m ( cost of 1 toothpick)   = $(0.04 m)  ..(2)

From (1) and (2)

110 + 0.03 m = (0.04 m)

⇒ 110 = 0.01 m

or, m  =

⇒ m = 11,000

Hence, 11,000 toothpicks must be sold in order to break even.

Company must sell 11,000 toothpicks in order to break-even.

Step-by-step explanation:

Given:

Cost to produce each toothpicks = $0.03

Fixed cost = $110

Selling price of each toothpicks = $0.04

We need to find the number of toothpicks company must sell in order to break-even.

Solution:

Let the number of tooth picks sold be 'x'.

Now we can say that;

Total cost of the company is equal to Cost to produce each toothpicks multiplied by number of tooth picks sold plus the Fixed cost

framing in equation form we get;

Total cost of the company =

Now we can say that;

Revenue generated is equal to Selling price of each toothpicks  multiplied by number of tooth picks sold.

framing in equation form we get;

Revenue generated =

Now we know that;

Break even point is the point at which The total cost to the company is equal to revenue generated.

So we can frame it as;

Combining the like terms we get;

Dividing both side by 0.01 we get;

Hence Company must sell 11,000 toothpicks in order to break-even.

sas (side angle side)

aa (angle angle)

sss(side side side)

sas find two sides with an angle in between

aa is finding two angles and the third will add up to 180

sss find all sides

step-by-step explanation:

most likely linear (proportionate)

step-by-step explanation:

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