Answer:
flour = 11.5, sugar has to be equal to 2.75 pounds.
Step-by-step explanation:
your 2 inequalities are:
2x + 3y <= 40
y <= 2x + 6
the second equation can be shown as:
-2x + y <= 6
solve the equality portion of these 2 inequalities.
those are the following equations:
2x + 3y = 40
-2x + y = 6
add these equations together and solve for y to get
y = 11.5
that appears to be a break even point.
when y = 11.5, the first inequality is solved as follows:
2x + 3y <= 40
replace y with 11.5 and the inequality becomes:
2x + 34.5 <= 40
solve for x to get
x <= 2.75
when y = 11.5, the second inequality is solved as follows:
-2x + y <= 6
replace y with 11.5 and the inequality becomes:
-2x + 11.5 <= 6
solve for x to get x >= 2.75
this indicates that, when y = 11.5, x has to be equal to 2.75.
both constraints are satisfied.
