Company a manufactures and sells gidgets. the owners have determined that the company has the monthly revenue and cost functions shown, such that x represents the number of gidgets sold.

r(x) = 16x
c(x) = 12x + 1,424

at what number of gidgets sold will the company break-even (the point where revenue equals cost)?

a.
356 gidgets
b.
119 gidgets
c.
480 gidgets
d.
51 gidgets

Option A.  356 gidgets

Step-by-step explanation:

we have

R(x) ----> the monthly revenue function

C(x) ---> the monthly cost function

x ----> the number of gidgets sold

we know that

Break-even means that the revenue equals cost

so

solve for x

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step-by-step explanation:

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,