Final answer:
To break even, the company must sell 132 custom mailboxes. Increasing margins reduces the manufacturer's selling price when retail price is fixed. High unit contribution is preferred; higher fixed costs raise break-even thresholds, and adjusting factors such as margins, market share, and advertising budget can increase profits but must be managed to avoid conflicts.
Step-by-step explanation:
To determine the break-even point for the customized mailbox company, we use the formula:
Break-even point (units) = Fixed Costs / (Selling Price per Unit - Variable Cost per Unit)
In this instance, Fixed Costs = $2046, Selling Price per Unit = $49.50, and Variable Cost per Unit = $34.
Break-even point = $2046 / ($49.50 - $34) = $2046 / $15.50 = 132 units (rounded up from 131.677)
Therefore, 132 mailboxes must be made and sold to break even.
When the retail price is fixed at $1.00, increasing the retail and wholesale margins will reduce the manufacturer's selling price because the margins take a larger proportion of the fixed retail price, leaving less for the manufacturer.
Unit contribution is the amount each unit contributes to covering fixed costs and generating profit, calculated as Selling Price per Unit minus Variable Cost per Unit. A high unit contribution is preferable for profitability as it means more profit is made per unit sold.
If fixed retail price rises and wholesale margins increase, the unit contribution decreases, because the margins subtract more from the possible contribution to fixed costs and profit.
Increasing any of the fixed cost factors raises the number of units needed to break even and the market share necessary to achieve breakeven, as higher fixed costs must be covered by sales of more units.
Adjusting factors such as decreasing retail margin/unit, increasing brand market share, and decreasing advertising budget can increase profit impact but must be balanced carefully to avoid conflicts that could ultimately reduce profits.
For example, a decrease in retail margin/unit may increase profit per unit but could make it difficult to find retail partners. Increasing brand market share generally increases profits but may require higher advertising costs. Conversely, decreasing the advertising budget can reduce costs but could also reduce market share and sales volume, potentially lowering overall profits.