A Manufacturer of Wooden Chairs and Tables Must Decide in Advance

Multiple Choice

A manufacturer of wooden chairs and tables must decide in advance how many of each item will be made in a givenweek. Use the table to find the system of inequalities that describes the manufacturer's weekly production.
-Use $x$ for the number of chairs and $y$ for the number of tables made per week. The number of work-hours available for construction and finishing is fixed.

A) $x+3 y \leq 27$
$x+2 y \leq 20$
$x \geq 0$
$y \geq 0$
B) $x+3 y \geq 0$
$x+2 y \geq 0$
$x \leq 27$
$y \leq 20$
C) $x+3 y \geq 27$
$x+2 y \geq 20$
D) $x+y \geq 36$
$3 x+2 y \geq 0$
$27 x+20 y \geq 0$