Question

The Porch Cushion Company manufactures foam cushions. The number of cushions to be produced in the upcoming three months​ follows:Number of foam cushions to be produced in July​13,000Number of foam cushions to be produced in August​19,000Number of foam cushions to be produced in September​12,000Each cushion requires 2 pounds of the foam used as stuffing. The company has a policy that the ending inventory of foam each month must be equal to​ 30% of the following​ month's expected production needs. How many pounds of foam does The Porch Cushion Company need to purchase in​ August?

Answer 1

To calculate the number of pounds of foam The Porch Cushion Company needs to purchase in August, add the number of cushions planned for that month to the ending inventory of foam in August, and multiply by the foam needed for each cushion.

Step-by-step explanation:

To calculate the number of pounds of foam The Porch Cushion Company needs to purchase in August, we need to find the total number of foam cushions expected to be produced in the two following months (August and September) and multiply it by the amount of foam needed for each cushion.

In August, the company plans to produce 19,000 cushions. In September, they plan to produce 12,000 cushions. According to the company's policy, the ending inventory of foam in August should be 30% of the expected production in September, which is 0.3 * 12,000 = 3,600 cushions.

To find the total number of cushions for which foam needs to be purchased in August, we sum the cushions to be produced in August and the ending inventory of foam in August: 19,000 + 3,600 = 22,600 cushions.

Since each cushion requires 2 pounds of foam, the company needs to purchase 22,600 * 2 = 45,200 pounds of foam in August.