Given a utility function U(q) = -q²-4q+2 in this case, depending on demand (q), this is function because it is a relationship or correspondence between two magnitudes, so that each value of the first corresponds to a single value of the second (or none); for example to q=-2 U(q) = 6, this means that for a demand (-2) the utility will be maximum (6)
, and to -∞<q<(-4-√24)/2 ∧ (-4+√24)/2<q<∞ the utility will be negative; (-4-√24)/2<q< (-4+√24)/2 the utility will be positive and q=(-4-√24)/2 ∧ q= (-4+√24)/2 there will be no utility
Multiply both sides of the equation by 20. 2z-3-5(z-6)=60. 2z-3-5z+30=60. -3z-3+30=60. -3z+27=60. -3z=60-27. -3z=33. Divide both sides by 3. Answer is: Z= -11