book Maths Puzzle Numerical Ability

My algebra problem is: TC=1600+120Q-0.4Q^2-0.002Q^3; Q=1200-4P. I know how to substitute Q=1200-4P for Q in the first problem, however I have forgotten how to solve the equation w

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A firm has budgeted a $1500 for display space at a toy show. Two types of display booths are available: "preferred space" costs $18 per square foot unit, with a minimum rental of express the statement as a logical expression using quantifiers.
state the universe of discourse.

1. There is no smallest positive real number

2. for every real number y, th