Question

Mr Wade imports and sells carbon road bikes and carbon mountain bikes. He sells at least 6 road bikes per week

Answer 1

Answer:

c)  Conclusion:

The system of inequalities is:

• 2.5r + 4m ≤ 40
• r ≥ 0
• m ≥ 0

Explanation:

1. Define the variables

• r = number of carbon road bikes
• m = number of carbon mountain bikes

2. List the system of inequalities

a) Time: maximum 40 hours a week

   i) From "each road bike takes 2.5 hours to make":

• time to make r carbon road bikes: 2.5r

   ii) From "each mountain bike takes 4 hours to make""

• time to make m carbon mountain bikes: 4m

   iii) Constraint:

• time ≤ 40
• 2.5r + 4m ≤ 40

b) Natural constraints:

Neither r nor m can be negative:

• r ≥ 0
• m ≥ 0

c)  Conclusion:

The system of inequalities is:

• 2.5r + 4m ≤ 40
• r ≥ 0
• m ≥ 0