Use the simplex method to find x 1greater than or equals0 and x 2greater than or equals0 such that x 1plus5x 2greater than or equals28 x 1plus  x 2less than or equals47 and such that zequals12x 1plus10x 2 is maximized. the maximum is zequals nothing when x 1equals nothing and x 2equals nothing.

no problobm

step-by-step explanation:

square root

step-by-step explanation:

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.