The daily profit p (in thousands of dollars) from the sale of televisions is a function of the number x of televisions sold (in hundreds).
the formula for this function is:
p = -5x² + 13x - 4
what are the break-even sales amounts (the sales amounts that result in no profit or loss)?

The break-even sales amounts is 36 or 224.

Step-by-step explanation:

Consider the provided function.

Where x is the number of televisions sold (in hundreds) and P is the profit.

We need to calculate the break-even sales amounts.

the break-even sales amounts is the sales amounts that result in no profit or loss.

That means substitute P=0 and solve for x.

Substitute a=4, b=-13 and c=4 in above formula.

Therefore, the break-even sales amounts is 36 or 224.

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is