Minden Company introduced a new product last year for which it is trying to find an optimal selling price. Marketing studies suggest that the company can increase sales by 5,000 units for each $2 reduction in the selling price. The company’s present selling price is $91 per unit, and variable expenses are $61 per unit. Fixed expenses are $830,400 per year. The present annual sales volume (at the $91 selling price) is 25,200 units.
Required:
1. What is the present yearly net operating income or loss?
2. What is the present break-even point in unit sales and in dollar sales?
3. Assuming that the marketing studies are correct, what is the maximum annual profit that the company can earn? At how many units and at what selling price per unit would the company generate this profit?
4. What would be the break-even point in unit sales and in dollar sales using the selling price you determined in (3) above (e.g., the selling price at the level of maximum profits)?
1) Present net income (loss)
Sales (25200*91) | 2293200 |
Variable cost (25200*61) | 1537200 |
Contribution margin | 756000 |
Fixed cost | 830400 |
Net income (loss) | -74400 |
2) Break even unit = 830400/30 = 27680 Units
Break even sales = 27680*91 = $2518880
3) Calculate profit
Selling price | Sales | Profit |
91 | 25200 | 25200*30-830400 = -74400 |
89 | 30200 | 30200*28-830400 = 15200 |
87 | 35200 | 35200*26-830400 = 84800 |
85 | 40200 | 40200*24-830400 = 134400 |
83 | 45200 | 45200*22-830400 = 164000 |
81 | 50200 | 50200*20-830400 = 173600 |
79 | 55200 | 55200*18-830400 = 163200 |
So on $81 Sales units = 50200
4) Break even unit = 830400/20 = 41520
Break even sales = 41520*81 = $3363120
Minden Company introduced a new product last year for which it is trying to find an...
Minden Company introduced a new product last year for which it is trying to find an optimal selling price. Marketing studies suggest that the company can increase sales by 5,000 units for each $2 reduction in the selling price. The company's present selling price is $91 per unit, and variable expenses are $61 per unit. Fixed expenses are $833,400 per year. The present annual sales volume (at the $91 selling price) is 25,700 units. Required: 1. What is the present...
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