Widgco is a company that produces widgets. their monthly operating costs are $27,619, and it costs them $4 to produce each widget. they sell widgets to distributors for $14 each.

let p represent widgco's monthly profit, and let x represent the number of widgets produced and sold each month. set up an equation that describes the relationship between p and x.
how many widgets must widgco produce and sell each month to break even?

P = 10x - 27619

The company must produce and sell 2762 number of widgets each month to break-even.

Step-by-step explanation:

Let, x represents the number of widgets produced and sold each month.

So, the total making cost for x widgets is = $(27619 + 4x)

Now, if each widget is sold at $14, then the selling price is $14x.

So, the profit that the company makes by selling x widgets is given by

P = 14x - (27619 + 4x) = 10x - 27619 (1)

Now, for break-even P must be equal to zero.

So, 10x - 27619 = 0

⇒ x = 2761.9 ≈ 2762

Therefore, the company must produce and sell 2762 number of widgets each month to break-even. (Answer)

answer: c

substitute in the values.

for a:

f(0) = 0 + 9

f(0) = 9

a is a solution.

for b:

f(7) = 14 + 9

f(7) = 23

b is a solution.

for c:

f (3) = 6 + 9

f(3) = 15

c is not a solution. it's supposed to be 14.

for d:

f(2) = 4 + 9

f(2)= 13

d is a solution.