1. **State the problem:** We need to find how much the contribution margin per unit can drop before the business should shut down in the short run.
2. **Define contribution margin:** Contribution margin per unit is the selling price per unit minus the variable cost per unit.
3. **Given data:**
- Selling price per unit $P = 64.6$
- Cost to produce per unit (variable cost) $VC = 24.32$
- Fixed costs $FC = 1101$
- Anticipated units sold $Q = 625$
4. **Calculate current contribution margin per unit:**
$$CM = P - VC = 64.6 - 24.32 = 40.28$$
5. **Calculate total contribution margin:**
$$Total\ CM = CM \times Q = 40.28 \times 625 = 25175$$
6. **Determine shutdown point:** The business should shut down if total contribution margin is less than fixed costs, i.e.,
$$Total\ CM < FC$$
7. **Find minimum contribution margin per unit to cover fixed costs:**
$$CM_{min} \times Q = FC$$
$$CM_{min} = \frac{FC}{Q} = \frac{1101}{625} = 1.7616$$
8. **Calculate how much contribution margin can drop:**
$$Drop = CM - CM_{min} = 40.28 - 1.7616 = 38.5184$$
**Final answer:** The contribution margin per unit can drop by approximately $38.52$ before the business should shut down in the short run.
Contribution Margin Drop 61C428
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