Rudd Clothiers is a small company that manufactures tall-men's suits. The company has used a standard cost accounting system. In May 2020, 11,250 suits were produced. The following standard and actual cost data applied to the month of May when normal capacity was 14,000 direct labor hours. All materials purchased were used. Cost Element Standard (per unit) Actual

Direct materials 8 yards at $4.40 per yard $375,575 for 90,500 yards ($4.15 per yard)
Direct labor 1.2 hours at $13.40 per hour $200,925 for 14,250 hours ($14.10 per hour)
Overhead 1.2 hours at $6.10 per hour (fixed $3.50; variable $2.60) $49,000 fixed overhead $37,000 variable overhead

Overhead is applied on the basis of direct labor hours. At normal capacity, budgeted fixed overhead costs were $49,000, and budgeted variable overhead was $36,400.
Required:
Compute the total, price, and quantity variances for (1) materials and (2) labor.

Results are below.

Explanation:

To calculate the total, price, and quantity variance for direct material, we need to use the following formulas:

Direct material price variance= (standard price - actual price)*actual quantity

Direct material price variance= (4.4 - 4.15)*90,500

Direct material price variance= $22,625 favorable

Direct material quantity variance= (standard quantity - actual quantity)*standard price

Direct material quantity variance= (8*11,250 - 90,500)*4.4

Direct material quantity variance= $2,200 unfavorable

Total direct material variance= 22,625 - 2,200= $20,425 favorable

To calculate the total, rate, and efficiency variance for direct labor, we need to use the following formulas:

Direct labor time (efficiency) variance= (Standard Quantity - Actual Quantity)*standard rate

Direct labor time (efficiency) variance= (1.2*11,250 - 14,250)*13.4

Direct labor time (efficiency) variance= $10,050 unfavorable

Direct labor rate variance= (Standard Rate - Actual Rate)*Actual Quantity

Direct labor rate variance= (13.4 - 14.1)*14,250

Direct labor rate variance= $9,975 unfavorable

Total direct labor variance= -10,050 - 9,975= $20,025 unfavorable

answer; hazards;

x=3

step-by-step explanation:

this is really simple i saw that there was only one term (5x) and thought if that was 15 what would i have to multiply everything else to get it there? well if 5x became 15 then x would have to be 3 so plug the 3 in the x for the other equations and you get 15 for the other ones. so there you go. : )