the finance department at a regional toy company has been tracking the income and costs of a new line of dolls. they have determined that the income and costs can be modeled by the equations below, where x is the number of dolls sold, in hundreds, and y is the total dollar amount, in thousands.

income: y=-0.4x^2+3x+45

costs: y=1.5x+20

consider the system of equations that can be used to determine the number of dolls for which the company will break-even.

how many total possible solutions of the form (x, y) are there for this situation?

of any possible solutions of the form (x, y), how many are viable for this situation?