In: Accounting
Mears Production Company makes several products and sells them for
an average price of $85. Mears' accountant is considering two
different approaches to estimating the firm's total monthly cost
function, account analysis and high-low. In both cases, she used
units of production as the independent variable. For the account
analysis approach, she developed the cost function by analyzing
each cost item in June, when production was 1,750 units. The
following are the results of that analysis:
Cost Item |
Total Cost |
Variable Cost |
Fixed Cost |
Direct materials |
$7,700 |
$7,700 |
$0 |
Direct labor |
$8,400 |
$8,400 |
$0 |
Factory overhead |
$9,215 |
$6,125 |
$3,090 |
Selling expenses |
$6,895 |
$2,975 |
$3,920 |
Administrative expenses |
$4,150 |
$0 |
$4,150 |
Total expenses |
$36,360 |
$25,200 |
$11,160 |
For the high-low method, she developed the cost function using the
same data from June and data from May, when production was 2,450
units and total costs were $47,722.
After developing the two cost functions, the accountant used them to make predictions for the month of December, when production was expected to be 2,275 units.
REQUIRED [ROUND UNIT COSTS TO THE NEAREST CENT AND
TOTAL COSTS TO THE NEAREST DOLLAR.]
Part A (5 tries; 5 points)
1. Using account analysis, what was the accountant's estimate of
total fixed costs for December?
2. Using account analysis, what was the accountant's estimate of
variable costs per unit for December?
Tries 0/5 |
Part B (5 tries; 5 points)
1. Using the high-low method, what was the accountant's estimate of
total fixed costs for December?
2. Using the high-low method, what was the accountant's estimate of
total variable costs for December?
Answer Part A 1:
Using accounting analysis for June, accountant's estimate of total fixed costs = $11,160
Fixed costs remains same within relevant rage.
Hence:
Using account analysis, accountant's estimate of total fixed costs for December = $11,160
Answer Part A 2:
Accountant's estimate of variable costs per unit = June variable cost / June production units = $25,200 / 1,750= $14.40
Per unit variable cost remains same.
Hence:
Using account analysis, accountant's estimate of variable costs per unit for December = $14.40
Answer Part B 1:
Using high-low method:
Variable cost per unit = 11362 / 700 = $16.23143
Fixed cost = 47722 - 2450 * 16.23143 = $7,955
Using the high-low method, accountant's estimate of total fixed costs for December = $7,955
Answer Part B 2:
Using the high-low method, the accountant's estimate of total variable costs for December = 2275 * 1.62143 = $36,926.50
Using the high-low method, the accountant's estimate of total variable costs for December = $36,926.50
(NOTE: there is no instruction on rounding off; hence no rounding off is done)