In the study of the influence of different parameters on the production of lytic enzymes, the influence of pH$,$ the

temperature and agitation at two levels, more repetitions at the central point. The enzymatic activity values $$obtained

during the tests are shown in the table below.

With the data present in the table, calculate the real values $$for pH and agitation, referring to the level

center $(0).$ Then perform the calculation of the coefficients of the linear model, so that it can later be

The displacement stage was carried out, seeking the path of maximum inclination.

The response graph, which serves as a basis for the displacement, indicates that it must occur from left to right

and from top to bottom.

With the information in hand, perform the calculation of the values $$coded for x$2$ and the real values $$of the

variables, filling in the table, which serves as a basis for carrying out experiments in this region, which will allow

analysis of new results, aiming to optimize this process.

Assuming that the new central region has real values $$of pH $=5\mathrm{.}0$ and agitation $=80$ rpm$,$ the researcher proposed a

new planning. The variable levels are, for pH$,(-1)=4\mathrm{.}0$ and $(+1)=60,$ and agitation $(-1)=70$ and $(+1)=90$

rpm$.$ In order to further expand the study region, a central composite planning was proposed. Perform

the calculation of the real levels of the variables for the axial points $(\backslash$pm $2).\backslash$table$[[$Envopo$,$phi.,,A$$fivi$],[1,$I.$.,($D$),8\mathrm{.}05],[12,+1150!,$I$|$BO hpm$!,1)28],[1,$L$/$A$,,,109],[4,-[5$n$!,=!|$ln$\backslash$pi i$|,$use$],[3,$d$,$c$,0\mathrm{.}24],[,$is$,$E$,],[$F$\_(4),,\backslash$bar $(5),$riz$]]\backslash$table$[[$Efint$,$:$,=>,$fir,Aytf$$t$],[$G$,$y$.,,,],[$C$$ VA$,,,,],[$centro $+$In$,\mathrm{.}2,,,],[$Ceivtro $+$W$,$I,,,$],[$S$$vieo $+$ at$,4,,,],[$fImeot $3,\backslash$xi $,,,]]$