McQueen Corporation prepared the following common-size income statement for the year ended December 31, 20X7:
Sales |
100% |
Cost of goods sold |
60% |
Gross profit |
40% |
For 20X7, McQueen sold 250 million units at a sales price of $1 each. For 20X8, McQueen has decided to reduce its sales price by 10%. McQueen believes the price cut will double unit sales. The cost of each unit sold is expected to remain the same. Calculate the change in McQueen’s expected gross profit for 20X8 assuming the price cut doubles sales.
A) |
$150 million increase. | |
|
|
20X7 gross profit is equal to $100 million ($1 × 250 million units sold × 40% gross profit margin). The 10% price cut to $0.90 will increase cost of goods sold to 67% of sales [COGS=0.6($1) = $0.60; $0.60 / $0.90 = 67%.]. As a result, gross profit will decrease to 33% of sales. If unit sales double in 20X8, gross profit will equal $150 million ($0.90 × 500 million units × 33% gross profit margin). Therefore, gross profit will increase $50 million ($150 million 20X8 gross profit – $100 million 20X7 gross profit). |