Question

Assume that you are a garment manufacturer. Based on the marker, you need to

order 3,500 yards of fabric in 60 inches with a density of 200 gm/m² to fulfill your
order. The fabric mill is only able to quote you fabric price in weight at S$6 per kg
and he can meet your 200gm/m² density and the 60 inches fabric width
requirements. How much fabric must you order in kg? What is the total cost of the
fabric purchased?

I NEED HELP ASAP

Answer 1

The garment manufacturer must order 640.56 kg of fabric and the total cost of fabric purchased would be S$3,843.36.

Step-by-step explanation:

To find out how much fabric must be ordered in kg, we need to first convert the yards to meters, then calculate the weight of the fabric in kg.

1 yard = 0.9144 meters 3,500 yards = 3,202.8 meters

Density = 200 gm/m² = 0.2 kg/m²

Total weight of fabric = 3,202.8 meters x 0.2 kg/m² = 640.56 kg

Therefore, the garment manufacturer must order 640.56 kg of fabric.

The cost of fabric per kg is S$6.

Therefore, the total cost of fabric purchased is:

Total cost = 640.56 kg x S$6/kg = S$3,843.36