Select the correct location on the coordinate plane. ruhana owns a workshop where her team of technicians refurbishes tv sets and dvd players, and then she sells them for a profit. she has set a weekly sales target of at least 35 tv sets or dvd players. additionally, she must ensure that her team collectively works at least 100 hours each week. it takes 4 hours to refurbish a tv set and 2 hours to refurbish a dvd player. it costs $75 to refurbish a tv set and $40 to refurbish a dvd player. if ruhana wants to minimize costs, which point represents the optimal number of tv sets and dvd players that her team should refurbish each week?
the answer is d
the system of inequity is
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