Oriole Monograms sells stadium blankets that have been monogrammed with high school and university emblems. The blankets retail for $47 throughout the country to loyal alumni of over 3,700 schools. Oriole’s variable costs are 42% of sales; fixed costs are $116,000 per month.
Assume that variable costs increase to 46% of the current sales
price and fixed costs increase by $13,000 per month. If Oriole were
to raise its sales price 11% to cover these new costs, but the
number of blankets sold were to drop by 6%, what would be the new
annual operating income? (Round sales price to 2
decimal places, e.g. 52.75 and final answer to 0 decimal places,
e.g. 5,275.)
Solution:-
The new annual operating income :-
Assume number of units = 95,000
Particulars | Amount per unit ( X) | number of units (Y) | amount ( X * Y) |
Sales | $47 | 95,000 |
= $47 * 95,000 = $4,465,000 |
Variable costs |
= 47 * 46% = $21.62 |
95,000 |
= $21.62 * 95,000 = $2,053,000 |
Contribution margin = (sales - variable cost ) |
= 47 - 21.62 = $25.38 |
95,000 |
= 95,000 * $25.38 = $2,411,100 |
Fixed costs |
= ($116,000 * 12 ) + (13,000 * 12) = ($1,392,000) + (1,560,00) = $1,548,000 |
||
Operating income = (contribution margin - fixed cost) |
= $2,411,100 - $1,548,000 = $8,63,100 |
Hence, the new annual operating income = $8,63,100
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