1. The break-even point in total revenue that Olympia Hospital requires is $60 million.
2. The average revenue per patient-day to achieve the above break-even total revenue is $1,600.
The break-even point is the point when the total sales are equal to the total costs.
At the break-even point, Olympia Hospital does not incur any loss or earn any profit.
The formula for computing the break-even total revenue is the fixed costs divided by contribution margin ratio.
Variable costs = 25% of total revenue
Fixed costs = $45 million
Total patient-days next year = 37,500 patient-days
Contribution margin ratio = 75% (100% - 25%)
Break-even point in total revenue = $60 million ($45 million/75%)
The average revenue per patient-day to achieve break-even total revenue = $1,600 ($60 million/37,500)
Thus, Olympia Hospital needs to achieve a break-even total revenue of $60 million and $1,600 per patient-day next year to break-even.
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