Solving applications

Question

The daily profit P in dollars of a company making tables is described by the function P(X)=-6X²+312x-3762, where x is the number of tables that are manufactured in 1 day. use this information the find P(24)

Answer 1

P(24) = -6 * (24)^2 + 312 * (24) - 3762

= 6*24 * ( -24 + 52 ) - 6 * 627

= 6*3*8 * ( 28 ) - 6 * 3 * 209

= 6*3* (8 * ( 28 ) - 209 )

= 6*3* (160 + 64 - 209 )

= 6*3* (15 )

= 3 * 90

= 270