Question

/Short Wheels is a small home business that designs and builds skateboards. Its employees glue

sheets of maple veneer together to build the boards and include wheel sets when selling the
boards. Model A uses 10 sheets of maple veneer and is packaged with two wheel sets. Model B
uses 12 sheets of maple veneer and is packaged with four wheel sets. Short Wheels has 140 sheets
of maple veneer and 40 wheel sets available. Let x represent the number of Model A skateboards
and let y represent the number of Model B skateboards.

Answer 1

See below and attachment

Explanation:

Model A

• 10 sheets and 2 wheels

Model B

• 12 sheets and 4 wheels

Available sheets = 140, Available wheels = 40

Model A = x, Model B = y

1. Inequality for maple veneers:

• 10x + 12 y ≤ 140
• 12y ≤ - 10x + 140
• y ≤ -10/12x + 140/12
• y ≤ -5/6x + 35/3

2. Inequality for wheel sets:

• 2x + 4y ≤ 40
• 4y ≤ -2x + 40
• y ≤ -2/4x + 10
• y ≤ -1/2x + 10

3. See attached for the graphs