Allocating Joint Costs Using the Weighted Average Method

Sunny Lane, Inc., purchases peaches from local orchards and sorts them into four categories. Grade A are large blemish$-$free peaches that can be sold to gourmet fruit sellers. Grade B peaches are smaller and may be slightly out of proportion. These are packed in boxes and sold to grocery stores. Peaches to be sliced for canned peaches are even smaller than Grade B peaches and have blemishes. Peaches to be pureed for use in sauces are of lower grade than peaches for slices, yet still food grade for canning.

Information on a recent purchase of $20,000$ pounds of peaches is as follows: Assume that Sunny Lane, Inc., uses the weighted average method of joint cost allocation and has assigned the following weights to the four grades of peaches:

Grades Pounds Weight

Factor

Grade A $1,6003\mathrm{.}0$

Grade B $5,0002\mathrm{.}0$

Slices $8,0000\mathrm{.}5$

Pureed $5,4001\mathrm{.}0$

Total $20,000$

Total joint cost is $$15,000.$

Required:

$1.$ Allocate the joint cost to the four grades of peaches using the weighted average method. Round your allocation percentages to four decimal places and round the allocated costs to the nearest dollar.

Joint Cost

Grades Allocation

Grade A $fill in the blank $1$

Grade B fill in the blank $2$

Slices fill in the blank $3$

Pureed fill in the blank $4$

Total $fill in the blank $5$

$($Note: The joint cost allocation does not equal $$15,000$ due to rounding.$)$

$2.$ What if the factory found that Grade A peaches were being valued less by customers and decided to decrease the weight factor for Grade A peaches to $2\mathrm{.}0?$ How would that affect the allocation of cost to Grade A peaches? How would it affect the allocation of cost to the remaining grades? Round your allocation percentages to four decimal places and round the allocated costs to the nearest dollar.

Joint Cost

Grades Allocation

Grade A $fill in the blank $6$

Grade B fill in the blank $7$

Slices fill in the blank $8$

Pureed fill in the blank $9$

Total $fill in the blank $10$

$($Note: The joint cost allocation does not equal $$15,000$ due to rounding.$)$