The amount of dollar sales that must be achieved to reach the goal is $432,000 if the fixed costs are $37,300
To determine the amount of dollar sales to be achieved to reach the goal, we first calculate the total contribution required. The contribution required in this case will be the sum of the target income and the fixed cost. Therefore;
contribution required = Target income + Fixed cost
contribution required = $37,300 + $70,700
contribution required = $108,000
Now the amount of dollar sales required can be determined by using the following formula of contribution margin ratio;
contribution margin ratio = Contribution margin / Sales
As the contribution margin ratio is given to be 25%, therefore;
25/100 = 108,000 ÷ Sales
0.25 × Sales = 108,000
Sales = 108,000 ÷ 0.25
Sales = $432,000
Therefore $432,000 is calculated to be the amount of dollar sales required to reach the goal.
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