Question

The Wellbuilt Company produces two types of wood chippers, economy and deluxe. The deluxe model requires 3 hours to assemble and 1/2 hour to paint, and the economy model requires 2 hours to assemble and 1 hour to paint. The maximum number of assembly hours available is 30 per day, and the maximum number of painting hours available is 9 per day. (a) Write the system of inequalities that describes the constraints on the number of each type of wood chipper produced. (Let x represent the number of deluxe models, and let y represent the number of economy models.)

Answer 1

3x + 2y ≤ 30

0.5x + y ≤ 9

Explanation:

Number of deluxe model = x

Number of economy models = y

Assembly hours :

Maximum hours = 30

Deluxe model = 3 hours

Economy model = 2 hours

3x + 2y ≤ 30

Painting :

Maximum hours = 9

Deluxe model = 1/2 = 0.5 hours

Economy model = 1 hours

0.5x + y ≤ 9

Therefore the inequality constraints are:

3x + 2y ≤ 30

0.5x + y ≤ 9