Question

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?

Answer 1

Answer:

q#1 Option B.2 possible solution is correct option

Q#2 option c. 1 viable solution is correct option.

Step-by-step explanation:

Q#1

y=4+3x+45

as this is a quadratic solution

and we know that when we solve a quadratic equation then  it gives two possible solutions

hence option b is the correct option

Q#2

option c is correct option when we solve an quadratic equation it gives two solution one is positive and other is negative as we know that income cannot be negative

hence only one viable solution exists when we solve this

y=4+3x+45 quadratic equation

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Step-by-step explanation: