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) $2 x+4 y+48 \leq 0$
$2 x+3 y+42 \leq 0$
B) $2 x+4 y \geq 48$
$2 x+3 y \geq 42$
$x \geq 0$
$\mathrm{y} \geq 0$
C) $2 x+4 y \leq 48$
$2 x+3 y \leq 42$
D) $2 x+4 y \leq 48$
$2 x+3 y \leq 42$
$x \geq 0$
$y \geq 0$