Question

Grand Gimmicks Company produces a single product with a current selling price of $170. Variable costs are $130 per unit, and fixed costs per month average $6,240. Management is considering increasing the selling price to $190 per unit. Assume that the cost of the product and monthly fixed expenses will not change as a result of the proposed increase in selling price. At the proposed increased selling price of $190 per unit, what dollar volume of sales per month is required to break-even? (Rounded)

Answer 1

$19,760

Step-by-step explanation:

The Net/operating income is the difference between the total sales and total costs, Total cost is made up of the fixed and variable cost.

Like the total sales, the total variable cost is also affected by the level of activities or units produced/sold.

Mathematically,

Net income = Total sales - variable cost - fixed cost

At breakeven point, the net income is zero as the total sales is equal to the total cost.

Let the number of units to be sold to break even be b

190b - 130b - $6,240 = 0

60b = $6,240

b = 6240/60

= 104 units

Dollar volume of sales per month is required to break-even

= 104 * 190

= $19,760

Answer 2

Break Even Sales Volume in Dollars= $ 19500

Step-by-step explanation:

Break Even Sales Volume in Dollars= Fixed Costs/ Contribution Margin Ratio

Break Even Sales Volume in Dollars= Fixed Costs/ 1- (variable Costs/ Sales)

Break Even Sales Volume in Units = Fixed Costs/ Contribution Margin per Unit

Break Even Sales Volume in Dollars= Fixed Costs/ 1- (variable Costs/ Sales)

Break Even Sales Volume in Dollars= $6,240/1-(130/190)

Break Even Sales Volume in Dollars= $6,240/1-0.68

Break Even Sales Volume in Dollars= $6,240/0.32

Break Even Sales Volume in Dollars= $ 19500