Question

A conference center books two event types. Corporate events generate $1{,}200 profit each but require 8 staff hours. Wedding receptions generate $900 profit each but need 12 staff hours due to additional services. The center wants $15{,}600 total profit while using exactly 120 staff hours. Let
c
represent corporate events and
w
represent wedding receptions. Which system represents these constraints?
Select one answer
A
1200
c
+
900
w
=
15
,
600
and
8
c
+
12
w
=
120

B
1200
c
+
900
w
=
15
,
600
and
12
c
+
8
w
=
120

C
900
c
+
1200
w
=
15
,
600
and
8
c
+
12
w
=
120

D
8
c
+
12
w
=
15
,
600
and
1200
c
+
900
w
=
120

Answer 1

A

Explanation: Profit equation is 1200c + 900w = 15,600 and staff-hours equation is 8c + 12w = 120, which matches choice A.