The Cloth Mill weaves two types of material into a blend Eac

The Cloth Mill weaves two types of material into a blend. Each type of material has been rated per yard to its stain resistance, tear resistance, and wear resistance, as shown in the table below. Cotton cloth costs $0.75 per yard and Rayon costs $0.85 per yard. (15 Points) If the blend needs to score at least 210 points for fabric weight, 300 points for tear resistance, and 175 points for wear resistance, how many yards of each material should be in the blend? (10 Points) How much will the blend of fabrics cost?

Characteristic

Cotton

Rayon

Fabric Weight

3

1

Tear Resistance

2

3

Wear Resistance

2.5

2

Solution