Lionel Co produces a single product, food for pet bunnies. The company has set the following standards for materials and labour:

	Direct materials	Direct Labour
Standard quantity	X kilograms	2.5 hours
Standard price	10 $ per kilogram	50 $ per hour

During the past month, the company purchased X kilograms of direct materials at a cost of 12 $ per kilogram. All this material was used in the production of 2 750 units of product. Direct labour cost totaled $65 282 for the month. The following variances have been computed:

Materials price variance $10500 U

Materials quantity variance $2225 U

Required:

For direct materials, compute the actual quantity purchased, the standard quantity allowed for materials in total for the month's production, and the standard quantity per unit of product.