If the cost of producing a product that sells for $40 is 72,000 plus $32.00 per piece, then how many products must be sold to break even?

Let x represent the # of units produced and sold.

Then

Revenue = Costs

($40)x = $72000 + ($32)x

Solving for x: $8x = $72000. Thus, x = 9000.

Have to make and sell 9000 units to break even here.

the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

the root or roots of a polynomial are the values of the variable that makes the polynomial equal to 0. we can find the roots of a polynomial making the expression equal to 0 and then, isolating the variable (it it has just one variable).

for example, given the following polynomial:

the root or zero of the polynomial, can be found by making the expression equal to 0, and then, isolating the variable, so, finding the root we have:

therefore, we have that the root of the polynomial is equal to 2.

we must remember that the number of roots that a polynomial can have, will depend on the degree of the polynomial, a first degree polynomial have will have one single root, a second degree polynomial (quadratic expression) may have two roots and so.

hence the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

have a nice day!