Which term best describes the number of solutions that will maximize the function below given the constraints listed? (Assume that x ≥ 0 and y ≥ 0.)
3x + 2y = 12
X+2y ≤ 8
F(x, y) = 9x+ 6y
one optimal solution
b. alternate optimal solutions
a
c. unbounded
d infeasible
Please select the best answer from the choices provided
Ο Α
B
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step-by-step explanation:

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4