Equations

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Cash payback period

Cash payback period = initial cost / annual net cash inflow

Cell conversion cost rate

Cell conversion cost rate = budgeted conversion cost / planned hours of production

Contribution margin

Contribution margin = sales - variable cost

Contribution margin ratio

Contribution margin ratio = contribution margin / sales

Contribution margin ratio

Contribution margin ratio = units contribution margin / unit selling price

Conversion cost per unit

Conversion cost per unit = total conversion costs for the period / total equivalent units of conversion costs

Cost amount per unit

Cost amount per unit = cost amount / estimated units produced and sold

Cost per equivalent unit

Cost per equivalent unit = total production costs / total in equivalent units

Activity rate

Activity rate = budgeted activity cost / Activity-Base usage

Actual direct labor cost

Actual direct labor cost = actual rate per hour x actual time

Actual direct materials cost

Actual direct materials cost = actual price x actual quantity

Applied factory overhead

Applied factory overhead = standard hours for actual units produced x total factory overhead rate

Desired profit

Desired profit = desired rate of return x total assets

Direct labor rates variance

Direct labor rates variance = (actual rate per hour - standard rate per hour) x actual hours

Direct labor time variance

Direct labor time variance = (actual direct labor hours - standard direct labor hours) x standard rate per hour

Direct materials cost per equivalent unit

Direct materials cost per equivalent unit = total direct materials cost for the period / total equivalent units of direct materials

Fixed cost

Fixed cost = total costs - (variable cost per unit x units produced)

Fixed factory overhead rate

Fixed factory overhead rate = budgeted variable overhead at normal capacity / normal productive capacity

Fixed factory overhead volume variance

Fixed factory overhead volume variance = (standard hours for 100% of normal capacity - standard hours for actual units produced) x fixed factory overhead rate

Normal selling price

Normal selling price = cost amount per unit + markup

Operating leverage

Operating leverage = contribution margin / income from operations

Percent change in income from operations

Percent change in income from operations = percent change in sales x operating leverage

Present value factor for an annuity of $1.00

Present value factor for an annuity of $1.00 = amount to be invested / equal annual net cash flows

Present value index

Present value index = total present value of net cash flow / amount to be invested

Production cost per unit

Production cost per unit = total product cost / estimated units produced and sold

Production department factory overhead rate

Production department factory overhead rate = budgeted department factory overhead / budgeted department allocation base

Profit margin

Profit margin = income from operations / sales

Rate of return on investment (ROI)

Rate of return on investment (ROI) = income from operations / invested assets

Sales (units)

Sales (units) = (fixed costs + target profit) / (units contribution margin)

Single plant wide factory overhead rate

Single plant wide factory overhead rate = total budgeted factory overhead / total budgeted plant wide allocation base

Standard and direct labor costs

Standard and direct labor costs = standard rate per hour x standard time

Standard direct materials cost

Standard direct materials cost = standard price x standard quantity

Target cost

Target cost = expected selling price - desired profit

Total cost per unit

Total cost per unit = total costs / estimated units produced and sold

Total costs

Total costs = (variable cost per unit x units produced) + fixed costs

Total factory overhead cost variance

Total factory overhead cost variance = actual factory overhead - applied factory overhead

Unit contribution margin

Unit contribution margin = sales per unit - variable cost per unit

Unit contribution margin per production bottleneck hour

Unit contribution margin per production bottleneck hour = units contribution margin / hours per unit in production bottleneck

Unit cost factor

Unit cost factor = (planned cost per unit - actual cost per unit) x actual units sold

Unit price factor

Unit price factor = (actual selling price per unit - planned and selling price per unit) x actual units sold

Value added ratio

Value added ratio = Value-Added lead time / total lead time

Variable cost per unit

Variable cost per unit = difference in total cost / difference in production

Variable cost per unit

Variable cost per unit = total variable cost / estimated units produced and sold

Variable factory overhead controllable variance

Variable factory overhead controllable variance = actual variable factory overhead - budgeted variable factory overhead

Variable factory overhead rate

Variable factory overhead rate = budgeted fixed overhead at normal capacity / normal productive capacity

Yield

Yield = quantity of material output / quantity of material input

Investment turnover

Investment turnover = sales / invested assets

Margin of safety

Margin of safety = (sales - sales at break-even point) / sales

Markup

Markup = cost amount per unit x markup percentage

Markup per unit

Markup per unit = market percentage x total cost per unit

Markup percentage

Markup percentage = (desired profit + total fixed costs and expenses) / total variable cost

Markup percentage

Markup percentage = (desired profit + total selling and administrative expenses) / total product cost

Markup percentage

Markup percentage = desired profit / total cost

Average investment

Average investment = (initial cost + residual value) / 2

Average rate of return

Average rate of return = estimated average annual income / average investment

Break even sales (dollars)

Break even sales (dollars) = fixed costs / contribution margin ratio

Break even sales (units)

Break even sales (units) = fixed costs / unit contribution margin

Budgeted variable factory overhead

Budgeted variable factory overhead = standard hours for actual units produced x variable factory overhead rate


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