Assume that you are part of the accounting team for Logan Digital. The company currently expects to sell 362 units for total rev
enue of $16,300 each month. Logan Digital estimates direct materials costs of $3,150, direct labor costs of $4,200, variable overhead costs of $2,100, and variable selling and administrative costs of $1,050. Fixed costs of $4,800 are also expected, which includes fixed overhead and selling and administrative costs. Using this information, complete the contribution margin income statement shown below.
Logan Digital is examining cost behavior patterns. Your recommendation is to first determine the break-even point in units. First, calculate the contribution margin (CM) per unit (rounded to the nearest dollar).
Next, complete the formula below to determine the break-even units.
Total Fixed Costs / Contribution Margin per Unit = Units
A profit-volume graph helps managers to visualize the relationship between profits and units sold. The data for Logan Digital has been used to construct the profit-volume graph below. The purple points (diamond symbols) plot the profit line. The operating loss is the shaded area bordered by the red points (cross symbols). The operating profit is the area bounded by the green points (triangle symbols). Graph the correct profit-value graph.
APPLY THE CONCEPTS: Effect of Changes to Sales Price, Variable Costs and Fixed Costs
Now consider each of the following scenarios for Logan Digital. Calculate the contribution margin (CM) per unit, rounded to nearest dollar, and the new break-even point in units, rounded to the nearest whole unit, for each scenario separately.
Scenario 1 Scenario 2 Scenario 3
Logan will dispose of a machine in the factory. The depreciation on that equipment is $500 per month. After some extensive market research, Logan has determined that a sales price increase of $2 per unit will not affect the sales volume and will be effective immediately. Logan has been experiencing quality problems with a materials supplier. Changing suppliers will improve the quality of the product but will cause direct materials costs to increase by $1 per unit.
Logan Digital is examining cost behavior patterns. Your recommendation is to first determine the break-even point in units. First, calculate the contribution margin (CM) per unit (rounded to the nearest dollar).
Next, complete the formula below to determine the break-even units.
Total Fixed Costs / Contribution Margin per Unit = Units
A profit-volume graph helps managers to visualize the relationship between profits and units sold. The data for Logan Digital has been used to construct the profit-volume graph below. The purple points (diamond symbols) plot the profit line. The operating loss is the shaded area bordered by the red points (cross symbols). The operating profit is the area bounded by the green points (triangle symbols). Graph the correct profit-value graph.
APPLY THE CONCEPTS: Effect of Changes to Sales Price, Variable Costs and Fixed Costs
Now consider each of the following scenarios for Logan Digital. Calculate the contribution margin (CM) per unit, rounded to nearest dollar, and the new break-even point in units, rounded to the nearest whole unit, for each scenario separately.
Scenario 1 Scenario 2 Scenario 3
Logan will dispose of a machine in the factory. The depreciation on that equipment is $500 per month. After some extensive market research, Logan has determined that a sales price increase of $2 per unit will not affect the sales volume and will be effective immediately. Logan has been experiencing quality problems with a materials supplier. Changing suppliers will improve the quality of the product but will cause direct materials costs to increase by $1 per unit.
1 answer:
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Answer:
The answer is $86,167.57 (to 2 decimal places)
Explanation:
In this question, we are to calculate the present value of a certain amount that is compounded semiannually, and after 10 years, yields a future value of $200,000. To calculate this, we will use the formula for calculating present value as follows:
PV = FV ÷
where:
PV = present value = ???
FV = future value = $200,000
r = interest rate in decimal = 8.6% = 0.086
n = compounding period pr year = semiannually = 2
t = time of compounding in years = 10
Therefore,
PV = 200,000 ÷
PV = 200,000 ÷ = $86,167.57