Guillermo's Oil and Lube Company is a service company that offers oil changes and lubrication for automobiles and light trucks. On average, Guillermo has found that a typical oil change takes $29$ minutes and $6\mathrm{.}2$ quarts of oil are used. In June, Guillermo's Oil and Lube had $980$ oil changes.

Guillermo's Oil and Lube Company provided the following information for the production of oil changes during the month of June:

Actual number of oil changes performed: $980$

Actual number of quarts of oil used: $6,860$ quarts

Actual price paid per quart of oil: $$5\mathrm{.}00$

Standard price per quart of oil: $$4\mathrm{.}90$

Required:

Calculate the direct materials price variance $($MPV$)$ and the direct materials usage variance $($MUV$)$ for June using the formula approach. If required, round your answers to the nearest cent.

MPV $

MUV $

$2.$ Calculate the total direct materials variance for oil for June. If required, round your answer to the nearest cent.

$3.$ What if the actual number of quarts of oil purchased in June had been $6,780$ quarts, and the materials price variance was calculated at the time of purchase? If required, round your answers to the nearest cent.

What would be the materials price variance $($MPV$)?$

What would be the materials usage variance $($MUV$)?$