Preble Company manufactures one product. Its variable manufacturing overhead is applied to production based on direct labor$-$hours and its standard cost card per unit is as follows:

Direct materials: $6$ pounds at $$8$ per pound

Direct labor: $3$ hours at $$14$ per hour

Variable overhead: $3$ hours at $$5$ per hour

Total standard cost per unit

$$48$

$42$

$15$

$$105$

The planning budget for March was based on producing and selling $19,000$ units. However, during March the company actually produced and sold $24,000$ units and incurred the following costs:

a$.$ Purchased $160,000$ pounds of raw materials at a cost of $$7\mathrm{.}20$ per pound. All of this material was used in production.

b$.$ Direct laborers worked $60,000$ hours at a rate of $$15$ per hour.

c$.$ Total variable manufacturing overhead for the month was $$336,600.$

Part $1)$ if preble had purchased $175,000$ pounds of materials at $$7\mathrm{.}20$ per pound and used $160,000$ pounds in production, what would be the materials quantity variance for march?

Part $2)$ what direct labor cost would be included in the companys planning

budget for march?

Part $3)$ what direct labor cost would be included in the companys flexible

budget for march?

Part $4)$ what is the labor rate variance for march

Part $5)$ what is the labor efficiency variance for march?

Part $6)$ what is the labor spending variance for march?

Please refer to the image to solve all parts of the problem :) thanks so much and will thumbs up for answers! And would appreciate work as well