Margin of safety = (sales-sales at break even) / sales Contribution Margin = Fixed Costs + Net Income Burn-on Inc. processes crude oil to jointly produce gasoline, Difference in Total Cost = Higher Total Cost – Lowest Total Cost diesel, and kerosene. One batch produces 3,415 gallons of Variable Cost per Machine hour = Difference in Tot Cost / Difference in Machine Hoursgasoline, 2,732 gallons of diesel, and 1,366 gallons of kerosene at a joint cost of $15,800. After the split-off point, all Change in operating income = change in sales unit x products are processed further, but the estimated market price unit contribution margin (selling price-variable cost) for each product at the split-off point is as follows: Operating Leverage = contribution Margin & operating Income Using the market value at split-off method, allocate the $15,800 joint cost of production to each product. = (($300,000 – ($300,000 x 75%))/ $49,400 = 1.5 Gas - $2/gal Diesel - $1/gal Kerosene - $3/gal Manufacturing Margin = Sales – Variable COGS Contribution Margin = Manufacturing Margin – Variable Selling and Admin Expenses Selling price Job Quality (per Sales Value Allocation Cost to be CM Ratio = Contribution Margin / Sales ( per gallon) Products gallon) (i) (i) x(ii) rate allocated Operating income = Contribution Margin – Fixed costs (ii) Breakeven Sales = Fixed cost / CMR 6,830/13,660 $15,800 x Breakeven Units = Fixed cost / CM units Gasoline 3,415 2 6830 = 50% 50% = 7900 Sales target profit = Fixed cost + target profit / CMR Sales target units = Fixed cost + target profit / CM unit 2,732/13,660 $15,800 x Diesel 2,732 1 2732 = 20% 20% = 3160 operational leverage = Contribution margin / Net income % to allocate = assets $ / size Kerosene For the current period, Pencil started 15,000 units and completed 10,000 units, leaving 5,000 units in process 30% complete. How many equivalent units did Pencil have for the period? 10,000 + 5,000 (.30)= 11,500 Assume that Pencil incurred $27,600 in production costs. What was PencilCo’s cost per unit the period. 27,600 ÷11,500= 2.40 per equivalent unit A support department provides a necessary service to produce a product, but is not directly involved in the production process. The direct method allocates all support department costs directly to production departments. 1,366 3 $15,800 x 4098 4,098/13,660 30% = 4740 = 30% $13660 $15,800 Gordon’s Smoothie Stand makes three types of smoothies: blueberry lemon, orange swirl, and triple berry. Before all flavors are added, the smoothies go through a joint mixing process that costs a total of $43 per batch. One batch produces 21.75 cups of blueberry lemon smoothies, 29 cups of orange swirl smoothies, and 36.25 cups of triple berry smoothies. In addition, Gordon has studiously noted that the mixing process necessary for triple berry and blueberry lemon smoothies takes twice as long as it does for orange swirl smoothies. Allocate the joint costs of production to each product using the weighted average method The sequential method (also known as the step-down method) considers some inter-support-department services: First, costs are allocated from one support department to the other support departments and to the production departments, Then, a second support department is selected and its costs are allocated to the remaining support departments (but not to the first service department) and to the production departments, This process continues until all support department costs have been allocated to the production departments. reciprocal services method considers all inter-support-department services, and thus is the most accurate of the three support department allocation methods. However, the reciprocal method is the most difficult to implement, especially when a large number of departments is involved. Net realizable value = (# cups/batch x estim sell price) – further cost/batch Total NRV = (NRV x sum of NRV) x 100 Allocated Cost = Total Joint Cost (given) x NRV% Ch 19 Lily’s Lemonade Stand makes three types of lemonade: pure, raspberry, and strawberry. The lemonade is produced through a joint mixing process that costs a total of $30 per batch. One batch produces 32 cups of pure lemonade, 21 cups of strawberry lemonade, and 21 cups of raspberry lemonade. After the split-off point, all three lemonades can be sold for $0.80 per cup, but strawberry and raspberry lemonade can be processed further by adding artificial coloring and flavoring and sold for $0.95 and $1.00 per cup, respectively. It is estimated that these additional processing costs are $0.75 and $1.80 per batch for strawberry and raspberry lemonade, respectively. Allocate the joint costs of production to each product using the net realizable value method