Question

an online furniture store sells chairs for $100 each and tables for $350 each. every day, the store can ship a maximum of 28 pieces of furniture and must sell a minimum of $3800 worth of chairs and tables. if x represents the number of tables sold and y represents the number of chairs sold, write and solve a system of inequalities graphically and determine one possible solution.
inequality 1: y
inequality 2: y
the store could sell tables and chairs.

Explanation:

Step1: Define revenue inequality

Let $x$ = number of tables, $y$ = number of chairs.
Minimum revenue: $350x + 100y \geq 3800$
Simplify: Divide by 50: $7x + 2y \geq 76$

Step2: Define shipping inequality

Maximum total items: $x + y \leq 28$
Also, non-negativity: $x \geq 0$, $y \geq 0$

Step3: Find feasible point

Test $x=8$:
Substitute into $7x + 2y \geq 76$:
$7(8) + 2y \geq 76$
$56 + 2y \geq 76$
$2y \geq 20$
$y \geq 10$
Check shipping: $8 + 10 = 18 \leq 28$, which is valid.

Answer:

The store could sell 8 tables and 10 chairs.