Straightforward calculation of variances; variance diagrams: manufacturer During June, Barry Ltd$\text{'}$s material purchases amounted to $6500$ kilograms at a price of $$12$ per kilogram. Actual costs incurred in the production of $2000$ units were as follows: Direct labour Direct material $$266062\mathrm{.}50$ $ $51600($$$41\mathrm{.}25$ per hour$)($$$12$ per kilogram$)$The standards for one unit of Barry's product are as follows: Direct labour Direct material Quantity: $3$ hours per unit Quantity: $2$ kilograms per unit Rate: $$40\mathrm{.}50$ per hour Price: $$12\mathrm{.}25$ per kilogram Required: $1.$ Calculate the direct material price and quantity variances and the direct labour rate and efficiency variances. Indicate whether each variance is favourable or unfavourable.