Rocky Mountain Waterpark sells half of its tickets for the regular price of $75. The other half go to senior citizens and children for the discounted price of $35. Variable cost per guest is $15 for both groups , and fixed costs total $60,000 per month. What is Rocky Mountain's breakeven point in total guests? Regular guests? Discount guests?

Respuesta :

Answer:

Break even in total guests is 1500 guests.

Break even in Regular guests is 750 guests.

Break even in Discount guests is 750 guests.

Explanation:

Break even in units is the total number of units where the total revenue equals total cost. The formula for break even in units is,

Break even in units = Fixed costs / Contribution margin per unit

a.

To calculate the composite break even point or a common break even point when there are more than one product, we use weighted average contribution per unit.

Weighted average contribution per unit = Contribution per unit of Product A * Weight of product A in sales mix  +  Contribution per unit of product B * Weight of Product B is sales mix

Weighted average contribution margin per unit = (75 - 15) * 0.5 + (35 - 15) * 0.5  =  40 per unit

Break even in total guests = 60000 / 40  =  1500 units/guests

Break even per product = Total break even in units * weight of product in sales mix

Break even in Regular guests = 1500 * 0.5 = 750 units

Break even in Discounted guests = 1500 * 0.5 = 750 units