In: Accounting
Question 1:
Jordan Company produces a product that has a variable cost of $28 per unit and a sales price of $60 per unit. The company’s annual fixed costs total $810,000. It had net income of $370,000 in the previous year. In an effort to increase the company’s market share, management is considering lowering the selling price to $53 per unit.
Required
If Jordan desires to maintain net income of $370,000, how many additional units must it sell to justify the price decline?
Assume that in addition to lowering its selling price to $53, Jordan also desires to increase its net income by $80,000. Determine the number of units the company must sell to earn the desired income.
Question 2:
The Blanket Company (TBC) manufactures two types of blankets. One is made of nylon. The other is made of wool. The budgeted per-unit contribution margin for each product follows.
Nylon | Wool | |||||||
Sales price | $ | 140 | $ | 192 | ||||
Variable cost per unit | (70 | ) | (87 | ) | ||||
Contribution margin per unit | $ | 70 | $ | 105 | ||||
TBC expects to incur annual fixed costs of $666,000. The relative sales mix of the products is 80 percent for Nylon and 20 percent for Wool.
Required
Determine the total number of products (units of Nylon and Wool combined) TBC must sell to earn a $104,000 profit.
How many units each of Nylon and Wool blankets must TBC sell to earn a $104,000 profit?
Prepare an income statement using the contribution margin format.
Thank you, please explain how to solve.
Number of Units required to be sold = (Desired Income + Fixed costs)/(Selling price per unit - variable cost per unit) | |||
Before price decline = (370,000+810,000)/(60-28) | 36,875 | units | |
After price decrease | 47,200 | units | |
a. Hence, additional units required to be sold | 10,325 | units | |
b.Units required to be sold | 50,400 | units | |
Nylon | Wool | Total | |
Sales Price | 140 | 192 | |
Variable cost per unit | -70 | -87 | |
Contribution Margin per unit | 70 | 105 | 175 |
Sales Mix | 80% | 20% | 100% |
Weighted average Contribution Margin | 56 | 21 | 77 |
Units required to be sold = (Desired Profit+Fixed costs)/Weighted average contribution margin per unit | |||
=(666000+104000)/77 | |||
10000 | units | ||
Nylon | 8000 | Units | |
Wool | 2000 | Units | |
Income Statement | |||
Nylon | Wool | Total | |
Sales Revenue | 1,120,000 | 384,000 | 1,504,000 |
Variable costs | (560,000) | (174,000) | (734,000) |
Contribution Margin | 560,000 | 210,000 | 770,000 |
Less: Fixed costs | 666,000 | ||
Operating Income | 104,000 |