Simon has
160
160160 meters of fencing to build a rectangular garden.
The garden's area (in square meters) as a function of the garden's width
w
ww (in meters) is modeled by
A
(
w
)
=
−
w
(
w
−
80
)
A(w)=−w(w−80)A, left parenthesis, w, right parenthesis, equals, minus, w, left parenthesis, w, minus, 80, right parenthesis

what width will produce the maximum garden area

Acompany manufactures three types of cabinets. it makes 110 cabinets each week. in the first week, the sum of the number of type-1 cabinets and twice the number of type-2 cabinets produced was 10 more than the number of type-3 cabinets produced. the next week, the number of type-1 cabinets produced was three times more than in the first week, no type-2 cabinets were produced, and the number of type-3 cabinets produced was the same as in the previous week.