of equipment, capacity, and so on$.$ The Dayton plant has weekly costs that can be expressed as a function of the number of gloves produced

$TCD(x)=x^2-x+6$

$TCH(Y)=Y^2+2Y+5$

lowest possible cost.

$($a$)$ Formulate a mathematical model that can be used to determine the optimal number of gloves to produce each week at each facility.

min

s$.$t$.$

$=7$

$x,Y0$

value $($in dollars$)?$

$

$at(x,y)=(,)$